# NCERT Solutions for Class 7 Maths Chapter 2 Exercise 2.4

NCERT Solutions for Class 7 Maths Chapter 2 Exercise 2.4 (Ex. 2.4) Fractions and Decimals in English Medium and Hindi Medium updated for 2021-2022. Contents are updated according to latest CBSE Curriculum 2021-2022 for CBSE and State Board students.

The questions in exercise 2.4 of class 7 math are based on the concept of division of fraction. Learn here how to convert a division section of fraction in multiplication format to solve it.## Class 7 Maths Chapter 2 Exercise 2.4 Solution

### CBSE NCERT Class 7 Maths Chapter 2 Exercise 2.4 Solution in Hindi and English Medium

Class: 7 | Mathematics |

Chapter: 2 | Fractions and Decimals |

Exercise: 2.4 | Hindi and English Meidum Solution |

### Class 7 Maths Chapter 2 Exercise 2.4 Solution in Videos

#### Division of Fractions

##### Reciprocal of a Fraction

Two fractions are said to be the reciprocal of each other, if their product is 1.

For example, 4/9 and 9/4 are the reciprocals of each other, since (4/9) x (9/4) = 1

In general, if a/b is a fraction, then its reciprocal is b/a.

Note: Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.

### Class 7 Maths Exercise 2.4 Extra Questions

##### Write down the reciprocal of: (i) 3/7 (ii) 1/5 (iii) 6 (iv) 3(5/8)

We have:

(i) Reciprocal of 3/7 = 7/3

(ii) Reciprocal of 1/5 = 5/1 = 5

(iii) Reciprocal of 6 = 1/6

(iv) Reciprocal of 3(5/8) = Reciprocal of 29/8 = 8/29

##### Find Reciprocal of 3(5/8).

We have:

Reciprocal of 7(8/11) = Reciprocal of 85/11 = 11/85

##### Divide: (i) 28 by 7/4 (ii) 36 by 6(2/3)

We have:

(i) 28 by 7/4 = (28/1)/ (7/4) = (28 x 4)/ (1 x 7) = 4 x 4 = 16

(ii) 36 by 6(2/3) = (36/1)/ (20/3) = (36 x 3)/ (1 x 20) = 108/20 = 27/5 = 5(2/5)

#### Division of Fractions

Rule: To divide a fraction by another fraction, the first fraction is multiplied by the reciprocal of the second fraction.

Thus, (a/b)/(c/d) = ad/bc

Example:

Simplify: (i) (4/9)/ (5/6) (ii) (5/7)/10

We have:

(i) (4/9)/ (5/6) = (4 x 6)/ (9 x 5) = 24/45 = 8/15

(i) (5/7)/(10/1)= (5 x 1)/(7 x 10) = 5/70 = 1/14

### Class 7 Maths Exercise 2.4 Important Questions

##### What are the 3 steps to dividing fractions?

The easiest way to divide fractions is to follow three simple steps:

(i) Flip the divisor into a reciprocal.

(ii) Change the division sign into a multiplication sign and multiply.

(iii) Simplify if possible.

##### How do I divide a fraction by a whole number?

To Divide a Fraction by a Whole Number:

Multiply the bottom number of the fraction by the whole number. Step 2. Simplify the fraction (if needed)

##### A rope of length 9(3/4) m is cut into 6 pieces of equal length. Find the length of each piece.

Length of the rope = 9(3/4) m = 39/4 m

Number of equal pieces = 6

Length of each piece = (39/4)/6

= (39 x 1)/ (4 x 6)

= 39/24 = 13/8 = 1(5/8) m

Hence, the length of each piece is 1(5/8) m