4th Grade Math: Equivalent Fractions Games

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

Generate Equivalent Fractions

Kids must generate equivalent fractions to refine their math skills.

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Equivalent Fractions Using Models

Are the Fractions Equivalent

Sharpen your fraction skills with this 'Are the Fractions Equivalent' game.

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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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All Equivalent Fractions Skills

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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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 Models

Identify the Equivalent Models

Take a deep dive into the world of math by identifying equivalent models.

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Equivalent Fractions Using Models

Recognize Equivalent Fractions

Learn to solve math problems by recognizing equivalent fractions.

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Equivalent Fractions Using Models

Find Equivalent Fractions

Choose the correct equivalent fractions to make a whole.

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Equivalent Fractions Using Models

Match Equivalent Fractions

Learn to solve math problems by matching equivalent fractions.

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Equivalent Fractions Using Models

Color Parts to Show Tenths as Hundredths

Ask your little one to color parts to show tenths as hundredths to play this game.

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Equivalent Fractions Using Models

Shade Parts to Show Hundredths as Tenths

Learn to solve math problems by shading parts to show hundredths as tenths.

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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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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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Equivalent Fractions

Fill in to Show Equivalence Between Tenths and Hundredths

You must fill in to show the equivalence between tenths and hundredths.

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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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Equivalent Fractions

Fill in the Number That Makes Tenths and Hundredths Equivalent

Kids must fill in the number that makes tenths and hundredths equivalent.

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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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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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Equivalent Fractions

Fill in to Make Tenths and Hundredths Equivalent

Apply your knowledge of decimals to make tenths and hundredths equivalent.

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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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Equivalent Fractions

Add Decimal Fractions Using Equivalence

Practice the superpower of decimals by learning how to add decimal fractions using equivalence.

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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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Equivalent Fractions

Fill the blank to make an Equivalent Fraction

Make an equivalent fraction by filling in the blank.

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Equivalent Fractions

Select a Pair of Equivalent Fractions

Kids must select a pair of equivalent fractions correctly.

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Some fractions even with different numerators and denominators have the same value.

For example, consider the fractions and . Though the denominators and numerators look different, the value of both the fractions is the same. They are called equivalent fractions.

Equivalent fractions have exactly the same value but expressed using different fractions.

Consider a pizza cut into half, another one into 4 slices and the third one cut into 8. Eating a slice from the first pizza is equivalent to eating two slices from the second and eating four slices from the third. That is, the pizza fractions calculated any of the three ways is the same.

$Equivalent fraction using pizza$

That is, the unit fraction is equivalent to , and again equivalent to .

Equivalent fractions have the exact same area covered. Also, equivalent fractions occupy the exact same place on a number line.

Simple equivalents of fractions can be generated by doubling or tripling the given fraction. Equivalent fractions calculator multiplies the numerator (the number above the fraction bar) and the denominator (the number below the fraction bar) by the same number to generate equivalent fractions. Similarly by reducing fractions to halves or quarters also give equivalent fractions.

Manipulatives for teaching equivalent fractions

The below discussed math manipulatives would help to understand the concept of equivalent fractions for fourth graders.

1. Fraction Charts / Fraction strips: This is one of the most commonly used manipulative for learning fractions.

$Equivalent fraction on fraction strip$

The definition, as well as the equivalence of fractions, can be explained using fractional strips. Children can make such equivalent fractions chart using multicolored chart papers. As they do the activity by themselves, they enjoy independent learning the as well as the concept gets reinforced.

2. Area models: These are another similar math manipulative for teaching fractions.

$Equivalent fraction using area model$

The area covered by the shaded portion of each circle is the same, though the number of parts of the whole is different. The equivalent fractions reduce to if you simplify fractions given in the area models.

3. Fractional Strips for Tenths and Hundredths or Base Ten Blocks:

Fractional strips can be used to show tenths and hundredths as shown:

A three-dimensional version of these fractional strips can be like base ten blocks. The smallest cube is called 1 unit or 1 hundredth. Each rod consists of 10 such hundredths can be called 1 tenth. The flat square consists of 10 such rods and is called 1 whole or 10 tenths or 100 hundredths.

Math Activities/Games for teaching equivalent fractions

Once the concept of fractions is clear, the equivalence of fractions should be introduced using activities and fraction games for kids. A mere robotic repetitional practice can give children computational fluency. But for a better understanding of the topic, it should be demonstrated using real-life activities and math games.

Matching Equivalent Fractions: Given a set of fractions, the child can pair the equivalent ones.

The difficulty level can be increased by giving the models without giving the fractions represented. Introducing timer in later levels would help children concentrate more and calculate faster.

Writing Down Equivalent Fractions Challenge: In a fixed time one has to finish writing as many equivalent fractions as possible. Then comes the opponent’s chance. Whoever writes the most number of fractions wins the game. The difficulty level can be adjusted by giving a fraction to start with. The more complex fractions you give, the more difficult the game is.
Hidden Character hunt: Fractions can be on a 5 by 5 square grid as shown. The child’s favorite hero is hidden behind the grid.

$find an equivalent fraction from grid$

Each time a fraction is given to the child, on finding an equivalent fraction from the grid, it opens up. The child who first identifies the character behind the grid wins the game. The difficulty level of the game can be controlled by giving more complex fractions.

Teaching methodologies for equivalent fractions

The Equivalence

Two fractions are equivalent if they have the exact same size.

$3 equivalent fraction on fraction chart$

Here, the fractions are equivalent fractions. The area shaded in all the three fractions are equal. Though they are expressed differently, the value of all the three is the same.

Now, consider the fractions .

When these are represented using area models, the area covered by the first two fractions as a part of the same whole are equal. But for the third fraction, the area shaded is more than the other two. Thus, is not equivalent to the other two.

$Equivalent fraction using area model$

That is, .

When the fractions are plotted on a number line, they occupy the exact same point.

$Equivalent fraction using number line$

Plenty of equivalent fraction calculators are available online. But this might not give a clear idea about the concept.

A child can practice solving fraction equations to find the missing number in equivalent fraction equations at equivalent fractions with models.

Generating Equivalent Fractions

The 3rd grade fractions skills include generating equivalents for common fractions like and by simply doubling or tripling the numerators and denominators. At this level, the equivalent fractions worksheets available at equivalent fraction without models children can practice by solving fractions.

Using area models:

In 4th grade fractions, children can initially generate equivalent fractions using models.

Consider the fraction . This can be represented using area model as shown.

$Quarter fraction$

Here, the whole is divided into 4 equal parts. Now, to form a fraction equivalent to this, say with one with denominator 8, the whole should be divided into 8 equal parts. For that, one need to sub-divide each of the above parts into two.

$two eighths fraction$

The circle is divided into 8 equal parts and the shaded parts are 2. That is, the above area model represents the fraction and it is equivalent to the unit fraction .

Further, if the whole is divided into 16 parts, you get an equivalent fraction as shown:

$four eighths fraction$

In a similar way when the divisions of a whole are merged together, the resultant is an equivalent fraction too.

Consider the area model representing the fraction .

$four sixths fraction on area model$

Here the whole is divided into 6 equal parts and 4 parts are shaded in blue. Now, merge the two rectangles in each row to get a bigger rectangle.

$two thirds fraction on area model$

Now the whole is divided into 3 equal parts and 2 of them are shaded. So, the fraction represented is .

But the area shaded in both are equal and thus, and are equivalent.

The algebraic significance of this generation process will be discussed in the next section.

Using multiplication:

In the previous section, each subpart of the area model for the fraction was subdivided into two. That is, the number of divisions in the whole is doubled. As a result, the number of parts that are shaded also doubles. Precisely, the numerator and denominator get multiplied by 2.

That is, =

Similarly, if the numerator and the denominator get multiplied by 3, = .

Thus, the equivalent fractions can be generated by multiplying the numerator and the denominator with the same number.

In the second example, when the two rectangles in a row were merged to get a bigger rectangle, the division of the whole was reduced to half. That is, the numerator and the denominator were multiplied by .

So, and are also equivalent fractions.

Finding an equivalent fraction for any given fraction can be practiced at equivalent fractions.

Mixed Numbers as Equivalent Fractions

One way to add mixed numbers is to separately add the integral and fractional parts.

In this method, children have to be really careful if there is an improper fractional part after addition.

For example,

= 3 +

Now, the fractional part is an improper fraction. Convert it to an equivalent mixed number.

= 3 +

= 3 + 1 +

= 4 +

While subtracting mixed fractions, the chances of making mistakes are even higher.

Consider the subtraction problem, .

When the integral and fractional parts are operated separately:

= 2 +

To avoid this, write the mixed numbers as equivalent improper fractions. A mixed number say, , can be converted to an equivalent fraction as follows:

Consider the initial addition problem, .

First, convert the mixed numbers to equivalent improper fractions. Make sure to follow math order of operations for the computations.

Adding fractions:

Now, convert the improper fraction back to the mixed number.

This method is more systematic and children tend to make fewer mistakes.

The subtraction problem can also be solved in a better way.

Convert the mixed fractions to improper ones.

Subtracting fractions:

Tenths and Hundredths

Tenths are special fractions with denominator 10 and hundredths are the ones with denominator 100.

How to generate a fraction equivalent to with a denominator 100?

It can be generated by multiplying the numerator and denominator by 10.

That is, one-tenth is equivalent to ten-hundredths.

This can be represented using fraction model as shown:

Further, children learn to convert non-unit tenths to hundredths.

For example, 3 tenths = 30 hundredth.

The converting fraction worksheets provided by SplashLearn has a handful of questions that models tenths and hundredths using fractional strips and their conversions.

Addition of tenths and hundredths:

Using the equivalent fractions tenths and hundredths, children learn how to add fractions with unlike denominators of 10 and 100.

For example, to find the sum of and , first rewrite

Now the child has two like fractions to add.

Comparing decimals

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

For example, to compare the decimals 0.5 and 0.25.

A child whose foundation of the topic is not clear might think that 5 < 25, so 0.5 < 0.25.

One needs to realize that comparisons are valid only when the two decimals refer to the same whole.

First, the child needs to learn how to convert decimal to fraction.

Like whole numbers, decimals also can be written as a fraction with a denominator of 1.

So, converting decimals to fraction, they can be written as $\frac{0.5}{1}\;$ and $\;\frac{0.25}{1}$.

Now, write the equivalent fractions of the two such that decimal points do not exist in the numerator.

For that, multiply the numerator and the denominator of the first fraction by 10.

Similarly, multiply the numerator and denominator of the second fraction by 100.

When you convert the decimals to fractions, and the two fractions do not have the same whole. To compare them, rewrite the first fraction.

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

Thus, 0.5 > 0.25 .

In simpler words, 0.5 is 5 tenths and 0.25 is 25 hundredth. Five tenths are equivalent to 50 hundredths. It is obvious that 50 hundredths are greater than 25 hundredths.

Thus, 0.5 > 0.25.

Further, children use this principle to list decimals in ascending and descending orders.

Evaluation:

To evaluate the equivalent fraction skills one can use the below assessment questions:

Find the missing number in the fraction equation, . Ans: 28
Fill in the blanks:

9 tenths = ? hundredths

Compare the decimals and fill up the blanks using either < , > , or =

0.35 ? 0.53

Ans: <

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4th Grade Math: Equivalent Fractions Games

Equivalent Fractions Using Models Skills

Complete Equivalent Fractions

Generate Equivalent Fractions

Are the Fractions Equivalent

Identify Equivalent Fractions

All Equivalent Fractions Skills

Generate Equivalent Fractions using Number Line

Generate Multiple Equivalent Fractions

Identify the Equivalent Models

Recognize Equivalent Fractions

Find Equivalent Fractions

Match Equivalent Fractions

Color Parts to Show Tenths as Hundredths

Shade Parts to Show Hundredths as Tenths

Select the Correct Equivalent Expression

Multiply and Complete the Equivalent Fraction

Fill in to Show Equivalence Between Tenths and Hundredths

Complete the Equivalent Fractions

Fill in the Number That Makes Tenths and Hundredths Equivalent

Divide and Complete the Equivalent Fraction

Select the Pair of Equivalent Fractions

Fill in to Make Tenths and Hundredths Equivalent

Fill in to Complete the Equivalent Fractions Pattern

Add Decimal Fractions Using Equivalence

Choose the Equivalent Fraction

Fill the blank to make an Equivalent Fraction

Select a Pair of Equivalent Fractions