Exercise 8.1 of Chapter 8 will help you eliminate unfamiliarity with basic functions with fractions. Within this exercise, you will learn how to add, subtract, multiply, and divide fractions (with like and unlike denominators). These functions happen often in our day-to-day lives, therefore, it is important for your mathematical learning.
This exercise is in accordance with the current NCERT curriculum, and follows structure from the Class 7 CBSE Maths textbook. By practicing these questions, you will feel better prepared for your school exams and feel more confident in solving word problems related to fractions.
To help you practice fractions, the NCERT Solutions to Exercise 8.1 is offered in a simple-to-follow format. These step-by-step answers can lead you in clarifying your doubts, and you will be able to learn the important foundations of this topic.
Exercise 8.1 is focused on basic operations with fractions, and it provides you with the foundations. The free PDF of the NCERT Solutions for Class 7 Maths Chapter 8 Ex 8.1 can be downloaded from below:
Exercise 8.1 introduces you to different ways of working with fractions. It lays the groundwork for later topics. Here are the key concepts covered:
1. Tenzin drinks 1/2 glass of milk every day. How many glasses of milk does he drink in a week? How many glasses of milk did he drink in the month of January?
Sol.
Milk per day = 1/2 glass.
Milk in a week (7 days) = 1/2 x 7 = 7/2 glasses.
Milk in January (31 days) = 1/2 x 31 = 31/2 glasses.
Answer: Tenzin drinks 7/2 glasses in one week and 31/2 glasses in the month of January.
2.A team of workers can make 1 km of a water canal in 8 days. So, in one day, the team can make ____ km of the water canal. If they work 5 days a week, they can make____ km of the water canal in a week.
Sol.
Length of canal made in one day = 1 / 8 km.
Length of canal made in a week (5 working days) = 1/8 x 5 = 5/8 km.
Answer: The team can make 1/8 km of the water canal in one day and 5/8 km in a week.
3. Manju and two of her neighbours buy 5 litres of oil every week and share it equally among the 3 families. How much oil does each family get in a week? How much oil will one family get in 4 weeks?
Sol.
Quantity of oil each family gets in a week = 5 / 3 litres.
Quantity of oil one family gets in 4 weeks = 5/3 x 4 = 20/3 litres.
Answer: Each family gets 5/3 litres of oil in a week and 20/3 litres in 4 weeks.
4. Safia saw the Moon setting on Monday at 10 pm. Her mother, who is a scientist, told her that every day the Moon sets 5/6 hour later than the previous day. How many hours after 10 pm will the moon set on Thursday?
Sol.
Time difference on Thursday (3 days later) = 5/6 x 3 = 15/6 hours.
Answer: The Moon will set 15/6 hours after 10 pm on Thursday.
5. Multiply and then convert it into a mixed fraction:
(a) 7 x 3/5
(b) 4 x 1/3
(c) 9/7 x 6
(d) 13/11 x 6
Sol.
(a) 7 x 3/5 = 21/5. Mixed fraction = 4 1/5.
(b) 4 x 1/3 = 4/3. Mixed fraction = 1 1/3.
(c) 9/7 x 6 = 54/7. Mixed fraction = 7 5/7.
(d) 13/11 x 6 = 78/11. Mixed fraction = 7 1/11.
(Session 2026 - 27)