4th Grade Math: Fractions Games

Fractions Using Models

Write Whole Numbers as Fractions

Take a look at how to write whole numbers as fractions with this game.

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Fractions Using Models

Identify the Correct Real World Models

Learn to solve math problems by identifying the correct real world models.

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Fractions Using Models

Write the Non-Unit Fraction for the Models

Use your math skills to write non-unit fractions for models.

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Fractions Using Models

Identify Tenths Using Fraction Models

Apply your knowledge of decimals to identify tenths using fraction models.

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Fractions On A Number Line Skills

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Fractions On A Number Line

Identify Fractions on Number Lines

Enjoy the marvel of mathematics by exploring how to identify fractions on number lines.

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Fractions On A Number Line

Mark Unit Fractions on Number Lines

Let your child see the world through math-colored shades by marking unit fractions on number lines!

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Fractions On A Number Line

Mark Fractions on Number Lines

Add more arrows to your child’s math quiver by marking fractions on number lines.

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Fractions On A Number Line

Choose the Fraction Marked on the Number Line

Shine bright in the math world by learning how to choose the fraction marked on the number line.

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Compare Fractions Skills

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Compare Fractions Using Models

Compare Fractions Using Different Models

Kids must compare fractions using different models to practice the concept.

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Compare Fractions Using Models

Compare using Different Models

Apply your knowledge of fractions to compare using different models.

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Compare Fractions Using Benchmark Fractions

Compare Fractions with help of the Fraction 1/2

Kids must compare fractions with the help of the fraction 1/2.

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Compare Fractions Using Benchmark Fractions

Compare Fractions Using 1 as Benchmark

Unearth the wisdom of mathematics by learning how to compare fractions using 1 as a benchmark.

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Equivalent Fractions Skills

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Equivalent Fractions Using Models

Complete Equivalent Fractions

Begin the exciting journey of becoming a math wizard by learning to complete equivalent fractions.

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Equivalent Fractions Using Models

Identify Equivalent Fractions

Treat yourself to an immersive learning experience by identifying equivalent fractions.

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Equivalent Fractions Using A Number Line

Generate Multiple Equivalent Fractions

Be on your way to become a mathematician by learning to generate multiple equivalent fractions.

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Equivalent Fractions Using A Number Line

Generate Equivalent Fractions using Number Line

Apply your knowledge of fractions to generate equivalent fractions using a number line.

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Mixed Numbers As Improper Fractions Skills

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Mixed Numbers As Improper Fractions

Convert the Mixed Number into a Fraction

Enjoy the marvel of math-multiverse by exploring how to convert mixed numbers into fractions.

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Mixed Numbers As Improper Fractions

Choose the Fraction Equivalent of the Mixed Number

Kids must choose the fraction equivalent of the given mixed number.

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Mixed Numbers As Improper Fractions

Fill in to Complete the Equivalent Fractions

Make fraction practice easy by filling in to complete the equivalent fractions.

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Mixed Numbers As Improper Fractions

Select the correct Equivalent Fraction for the Mixed Number

Children must select the correct equivalent fraction for the mixed number.

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Fractions Operations Skills

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Add Fractions

Fill in Colors in the Model to Show the sum

Practice fractions by filling in colors in the model to show the sum.

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Subtract Mixed Numbers

Subtract a Mixed Number from a Mixed Number

Have your own math-themed party by learning to subtract a mixed number from another mixed number.

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Subtract Fractions

Estimate the Difference using Number Line

Use your fraction skills to estimate the difference using a number line.

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Add Mixed Numbers

FIll in the Blank to add the Fraction and the Mixed Number

FIll in the blanks to add the fraction and the mixed number.

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All Fractions Skills

Compare Fractions

Compare Fractions with Like Denominators

Have your own math-themed party by learning to compare fractions with like denominators.

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Order Fractions

Order Fractions with Same Denominator

Practice the superpower of fractions by learning how to order fractions with the same denominator.

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Equivalent Fractions

Complete the Equivalent Fractions

Unearth the wisdom of mathematics by learning how to complete equivalent fractions.

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Improper Fractions As Mixed Numbers

Convert the Fractions into Mixed Numbers

Help your child take flight by learning how to convert fractions into mixed numbers.

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Compare Fractions

Compare Fractions with Same Denominator

Unearth the wisdom of mathematics by learning how to compare fractions with the same denominator.

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Order Fractions

Order Fractions with Same Numerator

Enjoy the marvel of math-multiverse by exploring how to order fractions with the same numerator.

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Equivalent Fractions

Select the Pair of Equivalent Fractions

Enjoy the marvel of mathematics by exploring how to select the pair of equivalent fractions.

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Improper Fractions As Mixed Numbers

Complete the Mixed Number

Dive deep into the world of fractions by learning to complete mixed numbers.

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Fractions Operations

Find the Sum WIth Help of Fraction Models

Practice to find the sum with the help of fraction models in this game.

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Compare Fractions

Compare Fractions with Like Numerators

Add more arrows to your child’s math quiver by comparing fractions with like numerators.

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Equivalent Fractions

Select the Correct Equivalent Expression

Take a deep dive into the world of math by selecting the correct equivalent expression.

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Improper Fractions As Mixed Numbers

Select the Mixed Number for the Given Fraction

Kids must select the mixed number for the given fraction.

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Fractions Operations

Fill in the Models to FInd the Sum

Kids must fill in the models to fInd the sum.

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$Compare fractions Using Symbols$

Compare Fractions

Compare fractions Using Symbols

Enjoy the marvel of mathematics by exploring how to compare fractions using symbols.

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Equivalent Fractions

Choose the Equivalent Fraction

Unearth the wisdom of mathematics by learning how to choose the equivalent fraction.

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Fractions Operations

Use Fractions Models to FInd the Sum

Add more arrows to your child’s math quiver by using fraction models to find the sum.

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Fractions Using Models

Shade the Parts To Show the Given Tenths

Have your own math-themed party by learning how to shade the parts to show the given tenths.

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Fractions On A Number Line

Place the Fraction on the Number Line

Add more arrows to your child’s math quiver by placing the fraction on the number line.

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$Compare fractions with 1$

Compare Fractions

Compare fractions with 1

Enter the madness of math-multiverse by exploring how to compare fractions with 1.

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Equivalent Fractions

Multiply and Complete the Equivalent Fraction

Dive deep into the world of fractions by multiplying and completing the given equivalent fractions.

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Fractions Operations

Use Models to Add Fractions Bigger than 1

Enjoy the marvel of math-multiverse by exploring how to use models to add fractions bigger than 1.

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Fractions Using Models

Identify Hundredths Less than 1

Begin the exciting journey of becoming a math wizard by identifying hundredths less than 1.

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Fractions On A Number Line

Identify the Mixed Number on the Number Line

Sharpen your fraction skills by identifying the mixed number on the number line.

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Compare Fractions

Compare Fractions with Half Using Symbols

Use your math skills to compare fractions with half using symbols.

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Equivalent Fractions

Divide and Complete the Equivalent Fraction

Use your math skills to divide and complete the equivalent fraction.

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Fractions Operations

Take Help of Models to add Fraction Bigger than 1

Enjoy the marvel of mathematics by learning to take help of models to add fractions bigger than 1.

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Fractions Using Models

Choose the Hundredth Represented by the Fraction Model

Use your decimal skills to choose the hundredth represented by the fraction model.

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Fractions On A Number Line

Place the Mixed Number on the Number Line

Unearth the wisdom of mathematics by learning how to place the mixed number on the number line.

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Compare Fractions

Find out if the Fraction is greater, smaller or equal to half

Kids must find out if the given fraction is greater, smaller or equal to half.

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Equivalent Fractions

Fill the blank to make an Equivalent Fraction

Make an equivalent fraction by filling in the blank.

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Fractions Operations

Add Fractions using Models

Have your own math-themed party by learning how to add fractions using models.

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Fractions Using Models

Color the Parts to Represent the Given Hundredths

Help kids practice decimals by coloring the parts to represent the given hundredths game.

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Equivalent Fractions

Fill in to Complete the Equivalent Fractions Pattern

Refine your math skills by filling in to complete the equivalent fraction pattern.

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Fractions Operations

Add Like Fractions using Number Lines

Use your fraction skills to add like fractions using number lines.

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Frequently Asked Questions:

Q1: How do you explain equivalent fractions?

Ans: If two fractions are equivalent, the shaded area represented by both the models is exactly equal irrespective of the number of parts in it. For example, 2/3 and 4/6 are equivalent as both fraction models have two-third part shaded.

Q2: What is fraction and it's types?

Ans: Fraction represents part of a whole and usually refers to quantities which are less than 1. It is written in the form a/b. There are different types of fractions - Proper fractions which are less than 1, Improper fractions which are more than 1, Unit fractions which have numerator 1, Like fractions which has same denominators and Unlike fractions which have different denominators.

Q3: How can we add simple fractions?

Ans: To add simple fractions, if denominators are the same, add the numerators keeping the denominator the same. To add fractions with different denominators we first need to convert both fractions into fractions with common denominator and then add them just as we add like fractions.

Q4: How do we teach mixed numbers to kids?

Ans: Mixed numbers have two parts- the whole-number part and the fractional part. The word “and” is used between the whole-number part and the fractional part.Mixed numbers can be taught by using pictorial models in the beginning and then the children can illustrate mixed numbers using pictures. Mixed numbers can be used for arithmetic calculations and to solve real life problems on fractions.

Q5: What should a fourth grader know in fraction?

Ans: A fourth grader must know how to identify and represent a fraction. In addition to this, a fourth grader is expected to know comparing, adding, subtracting fractions and mixed numbers with same denominators. They should also be able to find equivalent fractions with and without using models.

Q6: How do you solve basic fraction problems?

Ans: We can use correct steps and our calculation skills to solve fraction problems. To explore fraction problems through games, you can visit SplashLearn page and find "Fraction games" in the tab "Math Games by Topics".

Q7: How do you teach equivalent fractions in 4th grade?

Ans: Equivalent fractions can be taught with models and real-life objects. For example, take 3 pizzas, cut the first one in half, each part representing 1/2, now cut the second pizza in 4 equal parts each representing 1/4 and the third pizza in 8 equal parts representing 1/8. We can observe that 1/2 is same amount as 2/4 which is again same as 4/8. Though the number of pieces of the pizza vary, yet the amount is same which means that the fractions 1/2, 2/4 and 4/8 are equivalent fractions. To make fractions equivalent, multiply the numerator and denominator of each fraction by a number such that their denomnators become the same.

One of the most initial math concepts that children get introduced to is the numbers. They relate to it by counting the things they see around them. Teachers use manipulatives to explain counting as well. The traditional learning methods like books do come with a lot of activities these days. Still, the math games and activities that are done outside the classroom attract kids more. They can relate more to these type of activities and they never get bored. This excitement created in the initial years of education helps the children to have a better connect with the subject.

Math Games for Fractions:

The traditional methods of computations without knowing the applications of a topic can lead to boredom. This develops a lack of interest towards the subject. The solution to this problem is to use interesting educational games right from the lower grades. Numbers and counting are something that kids themselves can find examples around them. But in grade 3 fractions are introduced. If you directly explain the parts of a fraction to a 3rd grader, it is definitely going to create confusion. Instead, if real-life situations like distributing cakes to the friends or buying a half/quarter pound of vegetables or filling gas in the fuel tank of the car in quarter/half/full etc.

SplashLearn provides an activity based learning program to achieve well-defined learning skill sets. Activities like identifying fractions and modeling fraction give a strong foundation for the children about the topic.

Math games for identifying equivalent fractions can be something like one of their favorite cartoon character chasing an equivalent fraction. The love for their favorite character will keep the kid in the game while the concept of equivalent fraction would be reinforced. One of the most important benefits of using math games is that the children do not get stressed while learning.

Sometimes, math games are used to augment the mathematical skills you possess from activities and mental math. Logical math games help children to have better reasoning skills. Further, most of the math games are self-explanatory. This helps children to do things independently and they grow confident in the subject.

Introduction to Fraction:

What is a fraction?

Fraction is a representation of a part of a whole.

They are represented using the fractional notation where.

The line that separates the numerator and the denominator is called a fraction bar.

Let us consider the real-life example of distributing chocolate bar to the friends.

$Understanding fraction using real life example$

Suppose there are 8 kids attending a birthday party. When a pizza is distributed equally, each kid would get of the pizza.

If there are four bottles of soft drinks it would be distributed equally among 8. That is, each kid would get of a bottle of the soft drink.

Like fractions: Here, both pizza and the soft drinks are distributed among the equal number of people. That is, when the fractions are a part of the same whole or the same denominator. The fractions with same denominators are called like fractions. That is, and are like fractions.

Unlike fractions: Now, suppose one of the kids is leaving soon after having the soft drink without eating pizza. Then, the pizza would be distributed equally among the rest of the kids. So, each kid would get of the slices. Now, the pizza is distributed among 7 kids and the soft drink is distributed between 8 kids. So, the denominators of the fraction are not the same. They are called, unlike fractions.

Proper & Improper fractions: Another categorization of fractions is proper and improper fractions. When the denominator of a fraction is less than the numerator, it is called a proper fraction. When the denominator is greater than the numerator, it is called an improper fraction. Here, is a proper fraction and is an improper fraction.

Simplest Form of fractions: To reduce or simplify fractions one need to divide both the numerator and the denominator by the same number. In the fraction , both 4 and 8 can be divided by 4. So, the fraction in simplest form is .

Math Manipulatives for Teaching Fractions

Fraction Circles: In a fraction circle manipulative, various parts of a fraction will be given. The child needs to choose the correct parts to form a circle.

Fraction Charts/Fraction Wall:

A fraction wall would give an idea of dividing a whole into parts which are precisely the definition of a fraction is.

This can be used to explain equivalent fractions as well. Here, the child can understand that and are equivalent fractions as occupy the exact same area in the strip.

Fraction strips:

For addition and subtraction of fractions, fraction strips are of great help.

Addition of like fractions,

$add 1434 on fraction strip$

When the fractions to be added are unlike fractions, say, , the fraction strips could be

$add 1214 on fraction strip$ .

Now, the first fraction can be rewritten as and the fraction strips can be re-drawn as

$Add 2414 on fraction strip$

Now, the addition can be performed as:

A similar fraction strip can be used for subtraction as well.

Multiplication of fractions can be shown using two different fraction strips.

$Multiplying fraction using area model$

Learning Methodologies for Fraction Games for 4th Graders

Equivalent Fractions:

By the end of grade 3, the children are familiar with equivalent fractions with and without models.

In grade 4, children understand the method of generating equivalent fraction by multiplying the numerator and the denominator by the same number.

That is, and are equivalent fractions.

The equivalent fractions worksheets provided by SplashLearn give a good practice for solving fractions.

Comparing Fractions:

In grade 4, children can evaluate a fraction using the benchmark fractions and 1. Given a fraction, children can identify whether it is less than, greater than or equal to and 1.

For example, fill the blanks using the signs <, > or =.

First, consider the fraction equivalent to and has the denominator equal to the other fraction. That is, . Now, comparing fractions and are much easier as they have the same denominator. Since 5 > 3, .

Thus, .

To compare two unlike fractions, a similar method of rewriting them using the equivalent fractions and comparing the numerators would work.

Addition and subtraction of like fractions:

The addition of two like fractions can be represented using fraction strips as shown:

$Addition of like fractions$

Algebraically, this adding fractions can be done by simply adding the numerators. Note that the denominator represents the whole and it is not added during the addition.

Subtracting fractions can be performed using the same rule.

For example, .

Mixed Numbers:

A mixed number or a mixed fraction has a whole number part and a fractional part. A mixed number say, is same as . Since the fractional part of the mixed number has a denominator 10, the whole number part can be written as a fraction with denominator 10. That is, .

For the conversion of an improper fraction to a mixed number, first, divide the numerator by the denominator. The quotient of the division would be the whole number part and the remainder would be the numerator of the fractional part. The denominator remains the same.

SplashLearn explains this concept using quite a lot of models. The worksheets for the conversions from mixed numbers to fractions and vice versa gives a clear picture of the topic.

Adding and Subtracting Mixed Fractions:

Adding mixed fractions can be modeled by using a fractional strip, a number line or a fraction bar. The number line representation of is shown below.

$Adding mixed fractions on number line$

Algebraically this can be done in two ways. The integral parts and fractional parts and the fractional parts can be added separately. That is,

Another method is to re-write the mixed number into an improper fraction. Now, the two fractions can be added like before.

Here, the mixed fraction can be written as . The addition can be performed as shown:

After a good amount of practice for the addition of mixed fractions, the child can compute the addition as a mental math.

Subtracting mixed fractions also has a similar procedure. As in the case of addition, the subtraction also starts with using models as shown.

$Subtract fraction using model$

The subtraction without using the models is similar to that of addition. It is just that the child needs to be extra careful if the integral and the fractional parts of the fractions are subtracted separately.

Complete the fraction equation,

The fraction to be subtracted from to get is same as .

Thus, the missing number is 2.

The subtracting mixed fraction calculator problems in SplashLearn is a good combination of easy-medium-difficult ones. This gives a good foundation for handling complex fractions in higher grades.

Multiplication of a fraction by a whole number

A multiplication is always a repeated addition. That is, when a number is multiplied by 5, it is the same as adding the number for 5 times. This is the same in fractions too.

Consider the fraction strips:

$Add 141414 on fraction strip$

Here each of the addends is a unit fraction, one-fourth and there are 3 such addends.

So, the multiplication represented is . If the shaded parts of the fractions are collected in one of the strips, you can see that there are 3 shaded parts. That is, the product can be represented using the strip

$Product of 14 and 3 on fraction strip$

Thus, .

Fraction strips like this help children to get the geometric picture of the arithmetic calculation.

The multiplication of a non-unit fraction with a whole number, say, can also be represented using similar fraction strips.

The product is .

The same thing can be represented using a number line as shown:

Each leap moves three-fourth of a unit to the right. Since the multiplication is by 2, after the second leap it reaches the product .

The worksheets for multiplying fractions by whole are available at https://www.splashlearn.com/s/math-games/select-the-multiplication-expression-represented-by-fraction-models.

Decimal Notation for Fractions:

Tenths are special fractions with denominator 10. Any decimal number can be represented as a fraction with a denominator which is a power of 10. For example, the decimal number 0.2 can be written in fractional notation as . Similarly, hundredths are special fractions with denominator 100. A decimal number 0.25 can be converted to as fraction. Conversion between tenths and hundredths is a special case of equivalence of fractions.

Multiplying the numerator and denominator of by 10, . That is, 2 tenths are equivalent to 20 hundredths. The converting fraction worksheets provided by SplashLearn has a handful of questions that models tenths and hundredths using fractional strips. These strips explain how to change decimal to fraction with denominator 10 and vice versa. This geometrical interpretation helps children correlating the two and deduce the equivalence.

For example, children can add 0.4 and 0.23. First, convert decimal to fraction as and . Rewriting the first fraction as the addition becomes an easy task:

Convert fraction to decimal.

Thus, 0.4 + 0.23 = 0.63.

A clear concept about the above conversions enables children to manipulate the conversions between the decimal unit systems of length, weight etc. That is, children can interpret 34 centimeters as 0.34 meter.

Another skill learned at the level is comparing decimals based on their sizes.

For example, to compare the decimals 0.4 and 0.68.

One needs to realize that comparisons are valid only when the two decimals refer to the same whole. When you convert the decimals to fractions, and the two fractions do not have the same whole. To compare them, rewrite the fraction.

Now, the two fractions refer to the same whole. Comparing the numerators, .

Thus, 0.4 < 0.68.

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4th Grade Math: Fractions Games

Fractions Using Models Skills

Write Whole Numbers as Fractions

Identify the Correct Real World Models

Write the Non-Unit Fraction for the Models

Identify Tenths Using Fraction Models

Fractions On A Number Line Skills

Identify Fractions on Number Lines

Mark Unit Fractions on Number Lines

Mark Fractions on Number Lines

Choose the Fraction Marked on the Number Line

Compare Fractions Skills

Compare Fractions Using Different Models

Compare using Different Models

Compare Fractions with help of the Fraction 1/2

Compare Fractions Using 1 as Benchmark

Equivalent Fractions Skills

Complete Equivalent Fractions

Identify Equivalent Fractions

Generate Multiple Equivalent Fractions

Generate Equivalent Fractions using Number Line

Mixed Numbers As Improper Fractions Skills

Convert the Mixed Number into a Fraction

Choose the Fraction Equivalent of the Mixed Number

Fill in to Complete the Equivalent Fractions

Select the correct Equivalent Fraction for the Mixed Number

Fractions Operations Skills

Fill in Colors in the Model to Show the sum

Subtract a Mixed Number from a Mixed Number

Estimate the Difference using Number Line

FIll in the Blank to add the Fraction and the Mixed Number

All Fractions Skills

Compare Fractions with Like Denominators

Order Fractions with Same Denominator

Complete the Equivalent Fractions

Convert the Fractions into Mixed Numbers

Compare Fractions with Same Denominator

Order Fractions with Same Numerator

Select the Pair of Equivalent Fractions

Complete the Mixed Number

Find the Sum WIth Help of Fraction Models

Compare Fractions with Like Numerators

Select the Correct Equivalent Expression

Select the Mixed Number for the Given Fraction

Fill in the Models to FInd the Sum

Compare fractions Using Symbols

Choose the Equivalent Fraction

Use Fractions Models to FInd the Sum

Shade the Parts To Show the Given Tenths

Place the Fraction on the Number Line

Compare fractions with 1

Multiply and Complete the Equivalent Fraction

Use Models to Add Fractions Bigger than 1

Identify Hundredths Less than 1

Identify the Mixed Number on the Number Line

Compare Fractions with Half Using Symbols

Divide and Complete the Equivalent Fraction

Take Help of Models to add Fraction Bigger than 1

Choose the Hundredth Represented by the Fraction Model

Place the Mixed Number on the Number Line

Find out if the Fraction is greater, smaller or equal to half

Fill the blank to make an Equivalent Fraction

Add Fractions using Models

Color the Parts to Represent the Given Hundredths

Fill in to Complete the Equivalent Fractions Pattern

Add Like Fractions using Number Lines