8 Free Dividing Whole Numbers by Fractions Worksheet | Fun Activities
These dividing whole numbers by fractions worksheet will help to visualize and understand dividing whole numbers by fraction and number system. 5th and 6th-grade students will learn basic division methods of whole numbers by fractions and can improve their basic math skills with our free printable interactive worksheets.
8 Dividing Whole Numbers by Fractions Worksheet
Please download the following dividing whole numbers by fractions worksheet and practice division on the pages.
Dividing Whole Numbers by Fraction Worksheet: Basic Explanation with Visual Model
When a whole number is divided by a fraction, the number of groups of the fraction that fit inside the whole is determined. At first, we will draw some shapes to represent whole numbers and divide each shape in reference to the fraction’s denominator.
For example, let’s calculate 3 ÷ 2/3. In the figure below, you can see three rectangles representing the given whole number. Each rectangle is divided into 3 equal parts to match the denominator of the fraction. To represent the fraction 2/3, we shade 2 parts in each square.
Steps of Dividing Whole Numbers by Fraction
In this article, you will be provided “Dividing Whole Numbers by Fraction Worksheet” for practicing. Before that, you need to know the steps of dividing whole numbers by
fractions. There are four easy steps for diving whole numbers by a fraction. Have a look at the following steps :
Step 1:
Transform the whole number into a fraction by putting it over a denominator of 1. If any of the fractions are mixed fractions (or mixed numbers), then convert them into
improper fractions.
Step 2:
Swap the numerator and denominator of the dividend fraction ( the fraction after the ÷ sign ) and change the operator to a “X” instead of “ ÷ ”.
Step 3:
Multiply the numerators of the fraction together, the denominators of the fraction together, and the denominators of the fraction together. This will give you the answer.
Step 4:
Simplify the fraction. Let’s see an example.
Dividing Whole Numbers by Fraction Using Tape Diagram
Have you heard about tape diagrams? It is a rectangular illustration that resembles a piece of tape and has sections to help with computations. With a tape diagram, it
becomes very easy to divide a whole number by fractions.
Now, to find 5÷ ½ we can use a tape diagram to find out how many ½ are in there in 5. There are 5 whole units. Divide each whole into 2 equal parts.
Let’s do some following exercises.
Dividing Whole Numbers by Fraction Using Area Model
The area model is another way to understand the basic idea of dividing whole numbers by fractions. An area model to help students understand dividing with fractions will make the process more concrete.
In this process, we use the divisor to divide the model of the dividend into equal parts. That’s why the dividend is the number that is being divided and the divisor is the number that divides the dividend.
Let’s see the process with an example.
Afterward, we can partake in a set of exercises to evaluate our comprehension.
Dividing Whole Numbers by Unit Fraction
A fraction that has a numerator of 1 is called a unit fraction. Example: ½,⅕,⅙, and so on. Now let’s see the steps of dividing whole numbers by unit fractions.
Step 1:
First, we have to transform the whole number into a fraction by putting it over a denominator of 1.
Step 2:
After that, we have to change the operator to a “X” instead of “ ÷ ”. Then Swap the numerator and denominator of the dividend fraction ( the fraction after the ÷ sign ).
Step 3:
Multiply the numerators of the fraction together and the denominators of the fraction together. This will give you the answer. Let’s do following worksheet to assess your
understanding.
Afterward, we can partake in a set of exercises to evaluate our comprehension.
Dividing Whole Numbers by Proper Fraction
A proper fraction is a fraction that has its numerator value less than the denominator. For example, ⅔, 6/7, 8/9, etc. are proper fractions. Let us follow the steps of dividing
whole numbers by proper fractions.
Step 1:
First, we have to transform the whole number into a fraction by putting it over a denominator of 1.
Step 2:
After that, we have to change the operator to a “X” instead of “ ÷ ”. Then Swap the numerator and denominator of the dividend fraction ( the fraction after the ÷ sign ).
Step 3:
Multiply the numerators of the fraction together and the denominators of the fraction together. This will give you the answer.
Test your knowledge afterward with worksheets and exercises.
Dividing Whole Numbers by Improper Fractions
An improper fraction is a fraction that has its numerator value larger than the denominator. Let us follow the steps of dividing whole numbers by improper fractions.
Step 1: First we have to transform the whole number into a fraction by putting it over a denominator of 1.
Step 2: We have to change the operator to a “X” instead of “ ÷ ”. Then Swap the numerator and denominator of the dividend fraction ( the fraction after the ÷ sign ).
Step 3: Multiply the numerators of the fraction together and the denominators of the fraction together. This will give you the answer.
Let’s practice with exercises.
Dividing Whole Numbers by Mixed Fraction
Let us follow the steps of dividing whole numbers by mixed fractions.
Step 1:
First transform the mixed fraction into an improper fraction.
Step 2:
Then we have to transform the whole number into a fraction by putting it over a denominator of 1.
Step 3:
After that, we have to change the operator to a “X” instead of “ ÷ ”. Then Swap the numerator and denominator of the dividend fraction ( the fraction after the ÷ sign ).
Step 4:
Multiply the numerators of the fraction together and the denominators of the fraction together.
This will give you the answer. Now, solve the following exercises.
Drawing Figures to Divide Whole Numbers by Fraction
In this process, we will learn how to divide whole numbers by fractions by drawing figures. Let’s have a look at the steps:
Step 1:
Identify the whole number to draw equal figures.
Suppose, if you see the whole number is 6 in your given problem, you will draw 6 rectangles. You can choose other shapes according to your wish.
Step 2:
Now identify the fraction number. Then divide each shape according to the denominator number. As an example, if the denominator is 4, then you will divide each of the drawn shapes by 4 parts.
Step 3: Now count how many parts you have in total.
This will give you the answer. Now, solve the following exercises.
Word Problems for Dividing Whole Numbers by Fraction
Now Let’s solve some word problems to test your knowledge afterward.
Now, go through the following exercises.
Download Free Printable PDF
Download the following combined PDF and enjoy your practice session.
So today, we’ve discussed dividing whole numbers by fractions worksheet using the concepts of dividing whole numbers using tape diagrams, area models, unit fractions, proper fractions, mixed numbers, and some interactive word problems. Download our free worksheets, and after practicing these worksheets, students will surely improve their mathematical skills and have a better understanding of dividing whole numbers by fractions.
