 Multiplication and Division of Fractions Maths Grade 5 | Orchids # Multiplication And Division Of Fractions

## Multiplication and Division of Fractions for Class 5 Maths

In this learning concept, students will learn about the multiplication and division of fractions. Students also can use their previous knowledge of fractions in class 4.

In this learning concept, the students will learn to

• classify the multiplication of fractions examples and the multiplication of fractions with whole numbers.
• Evaluate how to solve fraction division and how to find the reciprocal of a fraction.
• Identify the division fraction for class 5.

Each concept is explained to class 5 maths students using illustrations, examples, and mind maps. Students can assess their learning by solving the two printable worksheets given at the page’s end.

Download the multiplication and division of fractions worksheets for class 5 and check the solutions for the addition and subtraction of fractions provided in PDF format.

Multiplication of Fractions

To multiply fractions, there is no need to have the same denominators. We can multiply any fractions by the following steps.

Step 1: If there is a whole number, write the whole number in the form of a fraction with denominator 1.

Step 2: Multiply the numerators.

Step 3: Multiply the denominators.

Step 4: Simplify the new fraction.

Multiplication of Fractions With Whole Numbers

### Example:

Question: Find the product:
3 / 4
x 4

Step 1: Write the whole number in the form of a fraction.

4 =
4 / 1

Step 2: Multiply the numerators.

4 × 3 = 12

Step 3: Multiply the denominators.

1 × 4 = 4

We can do steps 2 and 3 as:

3 / 4
x
4 / 1
=
3 x 4 / 4 x 1
=
12 / 4

Step 4: Simplify the new fraction.

HCF of 4 and 12 = 4

Divide numerator and denominator by 4.

12 / 4
=
12 `÷` 4 / 4 `÷` 4
=
3 / 1
= 3
Therefore,
3 / 4
x
4 / 1
= 3

Visual Representation: The fraction
3 / 4
is repeated 4 times. (Multiplication is repeated addition.)
3 / 4
x 4 So, 4 of
3 / 4
is 3

Multiplication of Two Fractions

### Example:

Question: Find the product:
5 / 8
x
1 / 2

Step 1: Multiply the numerators.

Step 2: Multiply the denominators.

5 / 8
x
1 / 2
=
5 x 1 / 8 x 2
=
5 / 16

So,
1 / 2
of
5 / 8
is
5 / 16

Visual Representation:  Division of Fractions Class 5

To do division of fractions, we need to know the term ‘reciprocal of a fraction’.

## Reciprocal of a Fraction:

• Reciprocal of a fraction is the fraction obtained by interchanging the numerator and denominator with each other.
• The product of a fraction with its reciprocal is always 1

### Example:

Reciprocal of
3 / 7
is
7 / 3

Reciprocal of
2 / 9
is
9 / 2

Reciprocal of 5 is
1 / 5
(We can write 5 as
5 / 1
.)

## How to Solve Fraction Division?

Step 1: If there is a whole number, write the whole number in the form of a fraction

Step 2: Find the reciprocal of the second fraction.

Step 3: Multiply the first fraction and reciprocal of the second fraction.

Examples:

Question 1:
9 / 12
`÷` 2 = ?

9 / 12
`÷` 2 =
9 / 12
x
1 / 2
(Here,
1 / 2
is the reciprocal of the 2.)
9 / 12
`÷`2=
9 / 12
x
1 / 2
=
9 x 1 / 12 x 2
=
9 / 24

HCF of 9 and 24 = 3

Divide both numerator and denominator by 3.

9 `÷` 3 / 24 `÷` 3
=
3 / 8

So,
9 / 12
`÷` 2 =
3 / 8

Visual Representation:  Question 2:
9 / 12
`÷`
3 / 5
=?

Step 1: Find the reciprocal of the second fraction.

Step 2: Multiply the first fraction and the reciprocal of the second fraction.

9 / 12
`÷`
3 / 5
=
9 / 12
x
5 / 3
=
9 x 5 / 12 x 3
=
45 / 36

Step 3: Simplify the fraction.

HCF of 45 and 36 = 9

Divide both numerator and denominator by 9.

45 `÷` 9 / 36 `÷` 9
=
5 / 4
So,
9 / 12
`÷`
3 / 5
=
5 / 4
=1
1 / 4

Visual Representation:   • -