CONTENT TYPE
SUBJECT
- Number Sense (44)
- Addition (42)
- Subtraction (28)
- Multiplication (63)
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Multiplication Strategies
(5)
- Times Tables (10)
- Multiplication Properties (6)
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Multiply By Multiples Of 10
(5)
- Multi-Digit Multiplication (36)
- Division (81)
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Fractions
(126)
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Fractions Using Models
(12)
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Fractions On A Number Line
(7)
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Compare Fractions
(13)
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Equivalent Fractions
(25)
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Mixed Numbers As Improper Fractions
(4)
- Fractions Operations (60)
- Decimals (81)
- Read And Write Decimals (31)
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Compare Decimals
(16)
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Order Decimals
(12)
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Round Decimals
(9)
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Convert Decimals To Fractions
(7)
- Decimal Operations (8)
- Geometry (39)
- Measurement (61)
- Money (10)
- Algebra (25)
- Word Problems (24)
Equivalent Fractions Using Models Skills
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Equivalent Fractions Using ModelsAre the Fractions Equivalent Game
In this exciting math game, kids will explore equivalent fractions using visual models. They'll solve engaging problems to determine if fractions are equivalent, building a solid understanding of fractions. This interactive approach helps make learning fractions fun and intuitive, boosting confidence in math skills. Get started on mastering fractions today!
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Equivalent Fractions Using ModelsCompleting Equivalent Fractions Game
This exciting game helps third graders master equivalent fractions by using fraction strips. Kids will tackle various problems, boosting their math skills while having fun. With visual aids, students can easily grasp the concept of equivalent fractions. Perfect for young learners to enjoy and learn fractions in a playful way!
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Equivalent Fractions Using ModelsIdentifying Equivalent Fractions Game
Unravel the mystery of equivalent fractions with this engaging game! Using fraction strips as visual aids, kids will identify if fractions are equivalent while having fun. This interactive math adventure helps clear misconceptions and builds strong fraction skills. Perfect for young learners eager to explore fractions in a playful way. Get started now!
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Equivalent Fractions Using ModelsGenerating Equivalent Fractions Game
Unlock the mystery of equivalent fractions in this vibrant game! Kids will use visual models to practice creating fractions that are equivalent. This interactive experience makes understanding fractions fun and engaging, helping kids gain confidence in math. Watch as they explore, learn, and master the skill of generating equivalent fractions with ease.
All Equivalent Fractions Skills
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Equivalent Fractions Using A Number LineGenerating Equivalent Fractions Using Number Line Game
In this engaging math game, kids will dive into the world of fractions by generating equivalent fractions using number lines. They'll tackle problems that challenge them to fill in missing parts, boosting their understanding of fractions. It's a fun and interactive way to grasp equivalent fractions, making math both exciting and educational for young learners.
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Equivalent Fractions Using A Number LineGenerating Multiple Equivalent Fractions Game
Unlock the world of fractions in this exciting game! Kids will use number lines to find and generate equivalent fractions, reinforcing their understanding of this key math concept. With engaging patterns and interactive play, your child will gain confidence in fractions while having fun. Perfect for young learners eager to practice and improve their math skills!
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Equivalent Fractions Using ModelsIdentifying the Equivalent Models Game
In this fun math game, kids tackle equivalent fractions by identifying matching visual models. Perfect for third graders, it helps clear up common misconceptions and builds strong problem-solving skills. This interactive experience guides learners towards fraction mastery while making math enjoyable. Get ready to explore fractions in a whole new way!
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Equivalent Fractions Using ModelsRecognizing Equivalent Fractions Game
Enter the enchanting realm of jellies and discover how to recognize equivalent fractions! This game invites kids to solve intriguing problems using visual models, reinforcing their understanding of fractions. Perfect for curious minds, it helps children apply prior knowledge to complete whole fractions in a fun, engaging way. Let the adventure begin!
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Equivalent Fractions Using ModelsFinding Equivalent Fractions Game
Join the adventure of finding equivalent fractions by collecting magic potions from jellies! This engaging game uses fraction models to make learning fractions fun and easy. Your child will gain confidence in math both in school and beyond. With regular play, understanding fractions becomes a breeze. Perfect for young math enthusiasts eager to explore!
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Equivalent Fractions Using ModelsMatching Equivalent Fractions Game
Join the adventure and learn fractions by matching jellies to create magical potions! This engaging game helps kids grasp the concept of equivalent fractions using visual models. As they play, children will enhance their understanding of fractions in a fun and interactive way. Perfect for young math enthusiasts eager to explore the world of numbers. Get started now!
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Equivalent Fractions Using ModelsColoring Parts to Show Tenths as Hundredths Game
In this engaging game, kids will color parts of shapes to understand how tenths can be shown as hundredths. Through interactive fraction models, they learn to relate tenths and hundredths, boosting their comfort with decimals. Perfect for making tricky concepts like equivalent fractions easier to grasp. Watch your child become a decimals whiz!
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Equivalent Fractions Using ModelsShade Parts to Showing Hundredths as Tenths Game
In this fun math game, kids will shade parts to show how hundredths relate to tenths. By playing, they'll tackle misconceptions about equivalent fractions and learn to model them visually. This interactive experience makes understanding fractions with denominators of 10 and 100 an enjoyable task. Perfect for fourth graders eager to boost their decimal skills!
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Equivalent FractionsFill the Blank to Make an Equivalent Fraction Game
In this exciting math game, your child will fill in the blanks to create equivalent fractions. Designed for fourth graders, this game offers a variety of problems to help kids practice and understand fractions in a fun way. Boost their confidence and skills as they explore and generate equivalent fractions. Perfect for young math enthusiasts!
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Equivalent FractionsFilling in to Show Equivalence Between Tenths and Hundredths Game
This engaging math game helps kids relate tenths to hundredths, building a strong understanding of decimals. Through fun tasks, your child will learn to connect fractions with decimals effortlessly. Perfect for young learners eager to master decimal notation. Watch your fourth grader enjoy learning while boosting their math skills. Start for free!
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Equivalent FractionsSelecting the Correct Equivalent Expression Game
In this fun math game, kids practice identifying equivalent fractions. They'll tackle problems using their understanding to find the correct expressions. Perfect for making learning lively, this game boosts skills in fractions while ensuring a fun experience. Ideal for fourth graders who want to learn while having a blast!
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Equivalent FractionsFilling in to Complete the Equivalent Fractions Pattern Game
In this fun math game, kids will complete patterns using equivalent fractions. By filling in the missing parts, they'll gain confidence in identifying and generating equivalent fractions. This interactive activity helps make a tricky concept more approachable and enjoyable, allowing children to practice and solidify their fraction skills with ease.
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Equivalent FractionsSelecting a Pair of Equivalent Fractions Game
In this fun math game, your child will select pairs of equivalent fractions, helping them tackle common misconceptions. Designed for fourth graders, it strengthens fraction skills by letting young mathematicians practice generating and identifying equivalent fractions. Kids will enjoy learning math concepts while playing this exciting game!
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Equivalent FractionsChoosing the Equivalent Fraction Game
In this engaging math game, students will dive into the world of equivalent fractions. They'll tap interactive elements to choose the correct fraction, enhancing their understanding of fractions. Designed for young mathematicians, this game offers a fun way to practice and master the skill of generating equivalent fractions. Perfect for hands-on learning!
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Equivalent FractionsDividing and Completing the Equivalent Fraction Game
Get ready to explore the world of fractions with this engaging game! Kids will learn to divide and generate equivalent fractions, building a strong understanding of this crucial math concept. Perfect for young learners, this game turns complex ideas into fun exercises, boosting confidence and skills in fractions. Watch your child become a fraction whiz!
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Equivalent FractionsFilling in the Number That Makes Tenths and Hundredths Equivalent Game
This engaging math game lets kids solve problems and fill in numbers to make tenths and hundredths equivalent. By tapping interactive elements, young learners will master the concept of equivalent fractions with denominators 10 and 100. It's a fun way to practice decimals while enhancing problem-solving skills. Perfect for building confidence in math. Signup now!
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Equivalent FractionsFilling in to Make Tenths and Hundredths Equivalent Game
This interactive math game invites kids to explore the world of fractions and decimals by filling in models to make tenths and hundredths equivalent. Through active participation, children will practice and improve their understanding of equivalent fractions. Perfect for young learners eager to grasp the concepts of decimals and fractions in an engaging way.
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Equivalent FractionsAdding Decimal Fractions Using Equivalence Game
This exciting game helps your child master adding decimal fractions using equivalence. Through playful activities, kids will learn to add tenths and hundredths, making math fun and easy. Designed for fourth graders, the game transforms learning fractions into an engaging adventure. Perfect for building confidence in handling fractions with denominators 10 and 100. Get started today!
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Equivalent FractionsSelecting the Pair of Equivalent Fractions Game
Jump into the fun of fractions! In this game, kids will select pairs of equivalent fractions from given options, honing their fraction skills. Perfect for young math explorers, this game boosts confidence in identifying equivalent fractions without visual aids. An exciting way to practice and master the concept of fractions. Get ready to play and learn!
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Equivalent FractionsCompleting the Equivalent Fractions Game
In this engaging math game, kids will tackle problems on equivalent fractions by identifying the missing parts. Perfect for young mathematicians, this game makes learning fractions lively and fun. As they play, children will explore the concept of equivalent fractions, boosting their math skills in an interactive way.
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Equivalent FractionsMultiplying and Completing the Equivalent Fraction Game
Uncover the world of equivalent fractions with this interactive game. Kids will multiply fractions to discover their equivalents, overcoming common misconceptions. This game offers a fun and focused approach to mastering fraction skills, making learning both enjoyable and effective. Perfect for young mathematicians eager to enhance their math journey.
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.
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.
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.
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.
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.
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.
That is, 
.
When the fractions 
are plotted on a number line, they occupy the exact same point.
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.
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.
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:
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 
.
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.
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:
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.
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:
. Ans: 289 tenths = ? hundredths
- Compare the decimals and fill up the blanks using either < , > , or =
0.35 ? 0.53
Ans: <
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