by Tiwari Academy
NCERT Solutions for Class 7 Maths Chapter 2 Exercise 2.2 Fractions and Decimals in Hindi and English Medium revised and modified for 2024-25 exams. The questions explanation is updated according to new textbook issued for academic session 2024-25.
NCERT Solutions Class 7 Maths Exercise 2.2 Solution in Hindi and English Medium
| Class: 7 | Mathematics |
| Chapter: 2 | Exercise: 2.2 |
| Topic: | Fractions and Decimals |
| Content: | NCERT Book’s Solutions |
| Academic Session: | 2024-25 |
| Medium: | English and Hindi Medium |
Class 7 Maths Chapter 2 Exercise 2.2 Solution
All the solutions and videos are based on latest CBSE syllabus for academic session 2024-25. In class 7 Maths exercise 2.2 questions are given to practice the multiplication of fractions. Here we will learn the multiplication of fraction and daily life situation questions.
Class 7 Maths Exercise 2.3 Practice Questions
Rekha bought 5(3/4) kg potatoes and 3(1/2) kg tomatoes from a vendor. What is the total weight of vegetables bought by her?
Total weight of vegetables bought by Rekha.
23/4 + 7/2 = (23 + 14)/4 = 37/4 kg = 9(1/4)
Find the product: (i) 5/8 x ¾ (ii) 3/4 x 5/2.
We have:
(i) 5/8 x ¾ = (5 x 3)/ (8 x 4) = 15/32
(ii) 3/4 x 5/2 = (3 x 5)/ (4 x 2) = 15/8
Multiply: (i) 7(5/8) by 3/2 (ii) 9(3/8) by 12
We have:
(i) 7(5/8) by 3/2 = 7(5/8) x 3/2 = 61/8 x 3/2 = (61 x 3)/ (8 x 2) = 183/16
(ii) 9(3/8) by 12 = {(9 x 8 + 3)/ 8} x 12 = 75/8 x 12 = (75 x 12)/ 8 = 225/2 = 112(1/2)
Class 7 Maths Chapter 2 Exercise 2.2 Solution in Videos
NCERT Book’s Solution App for Class 7
Class 7 Maths Exercise 2.2 Extra Questions
Simplify: (14/25) x (35/51) x (34/49)
We have:
(14/25) x (35/51) x (34/49)
= (14 x 35 x 34)/ (25 x 51 x 49)
After simplifying we get
4/15
Milk is sold at Rs. 16(3/4) per litre. Find the cost of 6(2/5) litres of milk. Cost of 1 litre of milk = Rs. 16(3/4) = Rs. 67/4
Cost of 6(2/5) litres of milk = Rs. (67/4) x (32/5)
= (67 x 32)/ (4 x 5) = 236/5 = Rs. 107(1/5)
Hence, the cost of 6(2/5) litres of milk is Rs. 107(1/5).
Subtraction of Fractions
Example:
Find the difference: (i) 7/9 – 5/9 (ii) 13/16 – 7/12
We have:
(i) 7/9 – 5/9 = (7 – 5)/9 = 2/9
(ii) 13/16 – 7/12
LCM of 16 and 12 is 48
So, (13 x 3 – 7 x 4)/48 = (39 – 28)/48 = 11/48
Class 7 Maths Exercise 2.2 Important Questions
How do you multiply fractions with questions?
Steps for Multiplying Fractions:
(i) Multiply the top numbers (the numerators).
(ii) Multiply the bottom numbers (the denominators).
(iii) Simplify the fraction if needed.
Renu spends 4/5 of her income on household expenses. Her monthly income is Rs. 15000 . How much does she save every month?
Total monthly income = Rs. 15000
So, Monthly expenditure = 4/5 of Rs. 15000
= 15000 x (4/5) = 3000 x 4 = Rs. 12000
So, Monthly savings = Rs. (15000 – 12000) = Rs. 3000
What is important to know for multiplying fractions?
To multiply fractions, first we simplify the fractions if they are not in lowest terms. Then we multiply the numerators of the fractions to get the new numerator, and multiply the denominators of the fractions to get the new denominator. Simplify the resulting fraction if possible.
Multiplication of Fractions
Rule: Product of Fractions = (Product of their Numerators)/ (Product of their Denominators)
Thus, (a/b x c/d) = (a x c)/ (b x d)
Use of OF
We define:
a/b of c = c x (a/b)
Example:
(i) 2/5 of 40 (ii) 5/9 of 48
(i) 2/5 of 40 = 40 x (2/5) = 80/5 = 16
(ii) 5/9 of 48 = 48 x (5/9) = (48 x 5)/9 = 240/9 = 80/3 = 26(2/3)
FAQ – Frequently Asked Questions
On which concepts questions of exercise 2.2 of class 7th Maths are based?
Questions of exercise 2.2 of class 7th Maths are based on the following concepts:
1. Multiplication of a Fraction by a Fraction.
2. Value of the Products.
Is exercise 2.2 of grade 7th Maths lengthy?
No, exercise 2.2 of grade 7th Maths is not at all lengthy. It is a short exercise. There are only eight questions and one example (example 6) in exercise 2.2 of 7th standard Maths. This exercise is also not very tough.
Can students finish exercise 2.2 of class 7th Maths rapidly?
Yes, students can finish exercise 2.2 of class 7th Maths rapidly because this exercise has only one example (example 6) and eight questions. Students need a maximum of 2 days to finish exercise 2.2 of grade 7th Maths if they honestly give at least 1-2 hours per day to this exercise. This time can vary because no students can have the same working speed, same ability, same efficiency, etc.
Are there any questions of exercise 2.2 of grade 7th Maths that have complete chances to come in the exam?
There are eight questions and one example (example 6) in exercise 2.2 of class 7th Maths out of which questions 4 (i), 5, 6, 7, 8, and example 6 have the complete chances to come in the exam. Students can’t skip these sums for the exams.
