# 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

##### Can short answer-type questions come from exercise 2.4 of class 7th Maths?

Yes, short answer type questions like fill in the blanks, MCQ, true or false, yes or no, answer in one word, Match the following, etc can come from exercise 2.4 of class 7th Maths.

##### How much time is required to complete exercise 2.4 of class 7th Maths?

Students require at most 2 days to complete exercise 2.4 of class 7th Maths if they give 1 hour per day to this exercise. This time depends on teachers and children also because no teacher and children can have the same working speed.

##### Which questions of exercise 2.4 of class 7th Maths can the teacher give in the unit test?

Exercise 2.4 of grade 7th Maths is important from the exam point of view. Every year questions come from this exercise in the unit test. There are 4 questions in exercise 2.4. Question 1 has 6 parts, question 2 has 7 parts, question 3 has 6 parts, and question 4 has 8 parts. All the parts of all the questions of this exercise are good, logical, and important. Teachers can give any question of this exercise in the unit test.

##### Is exercise 2.4 (chapter 2) of class 7th Maths easy or tough to solve?

Exercise 2.4 (chapter 2) of class 7th Maths is easy and not tough. Students can easily solve all questions of this exercise. However, the difficulty level of any question varies from child to child. So, exercise 2.4 (chapter 2) of class 7th Maths is easy, or tough depends on children also. Some children find it complicated, some find it simple, and some find it in the middle of easy and complicated.