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Multiply Fractions Games for Kids
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    • Multiply Fractions Using Models Skills

    View all 10 games
    • Choose the Multiplication Expression Representing Fraction Models
      Multiply Fractions Using Models
      Choose the Multiplication Expression Representing Fraction Models

      Kids must choose the multiplication expression representing fraction models.

      4 5 4.NF.4.a
      VIEW DETAILS
    • Complete the Multiplication Expression Using the Fraction Models
      Multiply Fractions Using Models
      Complete the Multiplication Expression Using the Fraction Models

      Use fraction models to complete the multiplication expression.

      4 5 4.NF.4.a
      VIEW DETAILS
    • Multiply Unit Fraction by a Whole Number on a Number Line
      Multiply Fractions Using Models
      Multiply Unit Fraction by a Whole Number on a Number Line

      Kids must multiply unit fractions by a whole number on a number line.

      4 5 4.NF.4.a
      VIEW DETAILS
    • Represent Unit Fraction Multiplication on a Number Line
      Multiply Fractions Using Models
      Represent Unit Fraction Multiplication on a Number Line

      Dive deep into the world of math by representing unit fraction multiplication on a number line.

      4 5 4.NF.4.a
      VIEW DETAILS

    Multiply Fractions By Whole Numbers Skills

    View all 18 games
    • Multiply Unit Fraction by Whole Number
      Multiply Fractions By Whole Numbers
      Multiply Unit Fraction by Whole Number

      Enjoy the marvel of math-multiverse by exploring how to multiply unit fractions by whole numbers.

      4 4.NF.4.a
      VIEW DETAILS
    • Select the Multiplication Expression Represented by Fraction Models
      Multiply Fractions By Whole Numbers
      Select the Multiplication Expression Represented by Fraction Models

      Select the multiplication expression represented by fraction models correctly.

      4 5 4.NF.4.b
      VIEW DETAILS
    • Fill in and Find the Product of Unit Fraction and the Whole Number
      Multiply Fractions By Whole Numbers
      Fill in and Find the Product of Unit Fraction and the Whole Number

      Kids must fill in and find the product of unit fractions and whole numbers.

      4 5 4.NF.4.a
      VIEW DETAILS
    • Choose the Correct Addition Sentence Related to the Fraction
      Multiply Fractions By Whole Numbers
      Choose the Correct Addition Sentence Related to the Fraction

      Kids must choose the correct addition sentence related to the fraction.

      4 5 4.NF.4.a
      VIEW DETAILS

    All Multiply Fractions Skills

    • Complete the Multiplication Between Fractions and Whole Numbers
      Multiply Fractions By Whole Numbers
      Complete the Multiplication Between Fractions and Whole Numbers

      Use your fraction skills to complete the multiplication between fractions and whole numbers.

      4 5 4.NF.4.b
      VIEW DETAILS
    • Find the Product of Fractions and the Whole Numbers
      Multiply Fractions By Whole Numbers
      Find the Product of Fractions and the Whole Numbers

      Dive deep into the world of fractions by finding the product of fractions and whole numbers.

      4 5 4.NF.4.b
      VIEW DETAILS
    • Fill in the Correct Number Using Fraction Models
      Multiply Fractions Using Models
      Fill in the Correct Number Using Fraction Models

      Utilise your fraction knowledge to fill in the correct number using fraction models.

      4 5 4.NF.4.b
      VIEW DETAILS
    • Solve Word Problems on Fraction-Whole Number Multiplication
      Multiply Fractions By Whole Numbers
      Solve Word Problems on Fraction-Whole Number Multiplication

      Apply your knowledge to solve word problems on fraction-whole number multiplication.

      4 5 4.NF.4.c
      VIEW DETAILS
    • Represent Fraction Multiplication on a Number Line
      Multiply Fractions Using Models
      Represent Fraction Multiplication on a Number Line

      Use your fraction skills to represent fraction multiplication on a number line.

      4 5 4.NF.4.b
      VIEW DETAILS
    • Find Fraction of a Whole Number
      Multiply Fractions By Whole Numbers
      Find Fraction of a Whole Number

      Shine bright in the math world by learning how to solve a fraction to make a whole number.

      4 5 5.NF.4.a
      VIEW DETAILS
    • Multiply Fraction by a Whole Number on a Number Line
      Multiply Fractions Using Models
      Multiply Fraction by a Whole Number on a Number Line

      Use your fraction skills to multiply fractions by a whole number on a number line.

      4 5 4.NF.4.b
      VIEW DETAILS
    • Multiply a Fraction and a Whole Number
      Multiply Fractions By Whole Numbers
      Multiply a Fraction and a Whole Number

      Ask your little one to multiply a fraction and a whole number to play this game.

      4 5 5.NF.4.a
      VIEW DETAILS
    • Multiply Fractions using Models
      Multiply Fractions Using Models
      Multiply Fractions using Models

      Shine bright in the math world by learning how to multiply fractions using models.

      5 5.NF.4.a
      VIEW DETAILS
    • Identify the Expression for the Model
      Multiply Fractions By Whole Numbers
      Identify the Expression for the Model

      Add more arrows to your child’s math quiver by helping them identify the expression for the model.

      5 5.NF.4.a
      VIEW DETAILS
    • Determine the Correct Fraction
      Multiply Fractions Using Models
      Determine the Correct Fraction

      Practice how to determine the correct fraction with this game.

      5 5.NF.5.b
      VIEW DETAILS
    • Simplify the Product of Fractions
      Multiply Fractions By Whole Numbers
      Simplify the Product of Fractions

      Enjoy the marvel of math-multiverse by exploring how to simplify the product of fractions.

      5 5.NF.4.a
      VIEW DETAILS
    • Find the Product of Fractions
      Multiply Fractions
      Find the Product of Fractions

      Take a deep dive into the world of math by finding the product of fractions.

      5 5.NF.4.a
      VIEW DETAILS
    • Simplify the Product of Whole Number and Fraction
      Multiply Fractions
      Simplify the Product of Whole Number and Fraction

      Use your fraction skills to simplify the product of whole numbers and fractions.

      5 5.NF.4.a
      VIEW DETAILS

    What Is the Multiplication of Fractions?

    Multiplication of fractions involves combining two or more fractions to find the product. When multiplying fractions, you multiply the numerators (top numbers) together to get the new numerator and the denominators (bottom numbers) together to get the new denominator. Simplifying the resulting fraction may be necessary to express it in its simplest form.

    Multiplying fractions is a crucial skill as it's often used in real-life scenarios like cooking, construction, and more. For instance, if a recipe calls for \(\frac{2}{3}\) cup of flour and you want to bake half a portion, you'd multiply \(\frac{1}{2}\) (for half the recipe) by \(\frac{2}{3}\) (for the original amount of flour). This yields \(\frac{2}{3} \times \frac{1}{2} = \frac{1}{3}\) cup of flour, the amount needed for half of the recipe.

    A fractions represents parts of a whole. The fractional notation widely used is \frac{a}{b}\), where a and b are whole numbers, \(b \neq 0\).

     

    Numerator and denominator of a fraction
     

    Example: The colored portions in each of the models represent one part of equally divided parts of a whole.

     

    Visual representation of fractions 

     

    Another way to represent a fraction is using the number line.  

    Example: To represent the fractions \(\frac{1}{4}\) , \(\frac{1}{2}\), and \(\frac{3}{4}\) on a number line, we first divide the segment joining 0 to 1 into 4 equal parts. Now, each part represents one-fourth of a unit. 

     

    Fraction on number line

     

    Multiplication extends the concept of fractions by showing how fractions can be scaled or multiplied to find a new fraction representing a different portion of the whole. 

    How to Multiply Fractions

    To multiply fractions, follow these simple steps:

    Example: Multiply \(\frac{2}{5}\) by \(\frac{3}{4}\):

    \(2 \times 3 = 6\)                      (new numerator)

    \(5 \times 4 = 20\)                    (new denominator)

    \(\frac{2}{5} \times \frac{3}{4} = \frac{6}{20}\)

    \(\frac{6}{20}\) can be further reduced to \(\frac{3}{10}\).

    Multiplication of Fractions: Different Types and Methods

    Let’s understand fraction multiplication through its various types and methods.

    Multiplication of a Fraction by a Whole Number

    To multiply a fraction by a whole number, visual models like fraction strips are used. This helps children to get the geometric picture of arithmetic.

    Example: Identify the multiplication represented in the below fraction strip.

     

    Multiplication of a unit fraction by whole number using fraction strip

     

    Here, each of the addends is a unit fraction \(\frac{1}{2}\) or one-half. There are 4 such addends.

    So, the multiplication represented is \(\frac{1}{2} \times 4 = 2\).

    If you arrange the shaded parts in consecutive one-halves, you will get 2 wholes.

    Example 2: Now, let us consider the multiplication of a non-unit fraction with a whole number. Identify the multiplication represented in the fraction strip.

     

    Multiplication of a non-unit fraction by whole number using fraction strip

     

    Each addends is \(\frac{2}{5}\) since two-fifth of the parts are shaded. There are 3 such addends.

    Thus, the multiplication represented is \(\frac{2}{5} \times 3\). .

    If you arrange the shaded parts in the consecutive one-fifths we get:

     

    Fraction 6/5 represented using fraction strip

     

    This is precisely the product \(\frac{2}{5} \times 3 = \frac{6}{5}\).

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

     

    Multiplying a non-unit fraction with whole number on a number line

     

    Each leap moves two-fifth of a unit to the right. Since the multiplication is by 3, after the third leap it reaches the product.

    The arithmetic computation of this would be 

    \(\frac{2}{5} \times 3 = \frac{2}{5} \times \frac{3}{1} = \frac{2 \times 3}{5 \times 1} = \frac{6}{5}\)

    Looking for multiplying fractions by whole numbers games? Check out Multiply a Fraction and a Whole Number Game and have a fun-filled practice!

    Multiplication of a Fraction by a Fraction:

    When the multiplication is with two fractions then both have to be shown as different fraction strips. Consider the product \(\frac{2}{3} \times \frac{3}{4}\). This can be represented as:

     

    Multiplying two fractions using area model

     

    The arithmetic computation of the multiplication can be done by multiplying the numerators and denominators separately as shown.

    \(\frac{2}{3} \times \frac{3}{4} = \frac{2 \times 3}{3 \times 4} = \frac{6}{12}\)

    The simplified fraction of \(\frac{6}{12}\) will be \(\frac{1}{2}\). Arranging the shaded parts differently will show exactly half of the given strip.

    Multiplication of Mixed Numbers (Mixed Fractions):

    When two fractions are multiplied with at least one of them being a mixed fraction, the first step is to convert the mixed fraction into an improper fraction. Then, multiply the numerators and the denominators separately, just like two fractions.

    Example 1: To multiply \(\frac{5}{8}\) and \(\frac{3}{12}\), we first rewrite  \(3\frac{1}{2}\) as an improper fraction.

     

    Mixed fraction to improper fraction conversion

      

    Next, we will multiply the fractions.  

     

    Multiplying a fraction and a mixed fraction

     

    The improper fraction \(\frac{35}{16}\) can be written as a mixed fraction as \(2\frac{3}{16}\).

    Example 2: Multiplying two mixed fractions

    Now, to multiply mixed fractions, the procedure is similar. First, simplify fractions.

     

    Multiplying two mixed fractions

     

    Now, cancel the common factors of the two fractions to be multiplied.

     

    Multiplying two fractions

     

    For multiplying 3 fractions the procedure is similar. The denominators, as well as the numerators, need to be multiplied separately. If you are looking for multiplying mixed numbers games, check out Multiply Mixed Fractions Game!

    Progression of Multiplication of Fraction Concepts with Grades

     

    Grade

    Concept

    Grade 3

    • Introduction to fractions (understanding of fractions as numbers) and identifying fractions

    • Introduction to simple fractions with denominators 2, 3, 4, 6, and 8 using pictures and models. 

    • Understanding fractions as sums of unit fractions.

    • Learning the representation of fraction on the number line.

    • Learning about the concept of equivalent fractions 

    • Comparing fractions with the same numerator or same denominator.

    Grade 4

    • Multiplication of a fraction by a whole number introduced using fraction strip visual models and number lines. 

    • Unit and non-unit fractions treated separately for clear understanding.

    • Learning decomposition of fractions 

    • Addition, subtraction, and multiplication of fractions and mixed numbers

    Grade 5

    • Direct multiplication of fractions by considering whole numbers as fractions with a denominator of 1. 

    • Multiplication of fractions with fractions or whole numbers.

    • Simplifying multiplication using numerators and denominators separately. 

    • Multiplication of more complex fractions and mixed numbers, along with solving real-world problems. 

    • Interpretation of multiplication as scaling

    • Addition and subtraction of fractions by making them equivalent fractions. 

    • Solving real-world problems involving multiplication of fractions and mixed numbers. 

    • Dividing whole numbers and unit fractions.

     

    Activities for Teaching Multiplying Fractions

     

    While multiplying fractions calculators can give you the product, it is important to understand the concept behind it. Children can relate better to a topic when they have first-hand experience of the application of the concept. So, it is always a great idea to start the topic of multiplying fractions using an example of a fraction which they are familiar with, in their day-to-day life.

    Multiplication of a Fraction by a Whole Number

    Primary graders may find multiplying fraction as a boring mechanical calculation. Introducing it with a real-life situation like below would help the kids to relate to it better.

    Example: Rhea is making Lemonade for her and her 6 friends for a birthday party. She knows that each glass of lemonade needs to be fresh lime juice. To estimate the amount of lime juice required, she can multiply the fraction \(\frac{1}{5}\) by 7.

    She also has to serve a pizza to all 7 of them. So, to estimate the number of pizzas required, again she can do the multiplication \(\frac{1}{4} \times 7\).

    Now, how to multiply fractions by whole numbers?

    A pictorial representation of the second situation can be shown as below:

    \(\frac{1}{5} \times 7\) = \(\frac{7}{5}\)

    Multiplication of a fraction by a number line using circle fractions
     

     

    Another representation for the multiplication of a fraction by a whole number is using the number line:

    \(\frac{1}{4} \times 7 = \frac{7}{4}\)
     

    Multiplication of a fraction by a number line using number line

     

    Multiplication of a Fraction by a Fraction:

    Consider the area of a rectangle with fractional side lengths. It would be a good example of multiplying a fraction by another.

    Example: A rectangular dining table has dimensions \(\frac{2}{7}\) units by \(\frac{3}{5}\) units. The area covered by the dining table can be obtained by multiplying the fractions \(\frac{2}{7}\) and \(\frac{3}{5}\).

    A pictorial representation of multiplying two fractions can be shown as below:

     

    Visual model of multiplying fractions

     

    How Can Children Use the Concept of Multiplying Fractions in Real Life?

    Importance of Introducing Multiplication of Fractions to Kids through Multiplication Fractions Games

    Learning to Multiply Fractions: Multiplication Math Games vs. Traditional Methods

    What Are 5 Best Fun Multiplying Fractions Games and Activities for Kids?

    Here are a few amazing multiplying fractions games by SplashLearn:

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