Solution of Chapter 7. Fractions (NCERT - Mathematics Book)

Write the fraction representing the shaded portion.

Colour the part according to the given fraction.

Identify the error, if any.

What fraction of a day is 8 hours?

What fraction of an hour is 40 minutes?

Arya, Abhimanyu and Vivek shared lunch. Arya has brought two sandwiches, one made of vegetable and one of jam. The other two boys forgot to bring their lunch. Arya agreed to share his sandwiches so that each person will have an equal share of each sandwich.

(a) How can Arya divide his sandqiches so that each person has an equal share?

(b) What part of a sandwich will each boy receive?

Kanchan dyes dresses. She had to dye 30 dresses. She has so far finished 20 dresses. What fraction of dresses has the finished?

Write the natural numbers from 2 to 12. What fraction of them are prime numbers?

Write the natural numbers from 102 to 113. What fraction of them are prime numbers?

What fraction of these circles has X’s in them?

Kristin received a CD player for her birthday. She bought 3 CDs and received 5 others as gifts. What fraction of her total CDs did she buy and what fraction dis she receive as gifts?

Draw number lines and locate the points on them:

(a)

(b)

(c)

Express the following as mixed fractions:

(a) (b) (c)

(d) (e) (f)

Express the following as improper fractions:

(a) 7 (b) 5 (c) 2

(d) 10 (e) 9 (f) 8

Write the fractions. Are all these fractions equivalent?

(a)

(b)

Write the fractions and pair up the equivalent fractions from each row:

Replace in each of the following by the correct number:

(a) (b) (c)

(d) (e)

Find the equivalent fraction of having:

(a) denominator 20

(b) numerator 9

(c) denominator 30

(d) numerator 9

Find the equivalent fraction of with:

(a) numerator 9

(b) Denominator 4

Check whether the given fractions are equivalent:

(a)

(b)

(c)

Reduce the following fractions to their simplest form:

(a) (b)

(c) (d)

(e)

Ramesh had 20 pencils, Sheelu had 50 pencils and Jamaal had 80 pencils. After 4 months, Ramesh used up 10 pencils, Sheeluused up 25 pencils and Jamaal used up 40 pencils. What fraction did each use up? Check if each has used up and equal fraction of her/his pencils?

Match the equivalent fractions and write two more for each.

(i) (a)

(ii) (b)

(iii) (c)

(iv) (d)

(v) (e)

Write shaded portions as fractions

Arrange them in ascending and descending orders using correct sign ‘<’ or ‘>’ between the fractions:

(a)

(b)

(c) Show and on the number line. Put appropriate signs between the given fractions.

Compare the fractions and put an appropriate sign:

(a)

(b)

(c)

(d)

Make five more such pairs and put appropriate signs.

Look at the figures and write ‘<’, ‘=’ or ‘>’ between given pairs of fractions:

(a)

(b)

(c)

(d)

(e)

Make five more such problems and solve them your friends.

How quickly can you do this? Fill appropriate sign (‘<’, ‘=’ or ‘>’):

(a) (b)

(c) (d)

(e) (f)

(g) (h)

(i) (j)

(k)

The following fractions represent just three different numbers. Separate them into three groups of equivalent fractions, by changing each one to its simplest form.

(a) (b)

(c) (d)

(e) (f)

(g) (h)

(i) (j)

(k) (l)

Find answers to the following. Write and indicate how you solved them:

(a) Is equal to ?

(b) Is equal to ?

(c) Is equal to ?

(d) Is equal to ?

Ila read 25 pages of a book containing 100 pages. Lalita read 2/5th of the same book. Who read less?

Rafiq exercised for of an hour, while Rohit exercised for of an hour. Who exercised for a longer time?

In a Class A of 25 students, 20 passed in first Class; in another Class B of 30 students, 24 passed in first Class. In which Class, was a greater fraction of students getting first Class?

Write these fractions appropriately as additions or subtractions:

Solve:

(a) (b)

(c) (d)

(e) (f)

(g) (h)

(i) 3-

Shubham painted of the wall space in his room. Her sister Madhavi helped and painted of the wall space. How much did they paint together?

Fill in the missing fractions:

(a)

(b)

(c)

(d)

Javed was given of a basket of oranges. What fraction of oranges was left in the basket?

Solve:

(a) (b)

(c) (d)

(e) (f)

(g) (h)

(i) (j)

(k) (l)

(m) (n)

Sarita bought metres of ribbon and Lalita metres of ribbon. What is the total length of the ribbon they bought?

Naina was given piece of cake and Najma was given piece of cake. Find the total amount of cake was given to both of them.

Fill in the boxes:

(a)

(b)

(c)

Complete the addition-subtraction box:

A piece of wire metres long broke into two pieces. One piece was metres long. How long was the other piece?

Nandini’s house is km from her school. She walked some distance and then took a bus for km to reach the school. How far did she walk?

Asha and Samuel have bookshelves of the same size partly filled with books. Asha’s shelf is th full and Samuel’s shelf is th full. Whose bookshelf is more full? By what fraction?

Jaidev takes minutes to walk across the school ground. Rahul takes minutes to do the same. Who takes less time and by what fraction?