Haryana State Board HBSE 6th Class Maths Solutions Chapter 7 Fractions Ex 7.4 Textbook Exercise Questions and Answers.

## Haryana Board 6th Class Maths Solutions Chapter 7 Fractions Exercise 7.4

Question 1.

Write each fraction. Arrange them in ascending and descending order using correct sign ‘<‘, ‘=’,‘>‘ between the fractions:

Solution:

Question 2.

Compare the fractions and put an appropriate sign.

Solution:

Question 3.

Make 5 more such pairs and make appropriate signs.

Solution:

Question 4.

Name the fractions and arrange them in ascending order:

Solution:

Question 5.

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

Make 5 more such problems and solve them with your friends.

Solution:

Question 6.

How quickly can you compare these? Fill appropriate signs.

Solution:

Question 7.

The following fractions represent just three different numbers. Separate them into three grups of equal fractions by changing each one to its simplest fraction.

Solution:

Question 8.

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

(a) Is \(\frac{5}{9}\) equal to\(\frac{4}{5}\) ?

(b) Is \(\frac{9}{16}\) equal to \(\frac{5}{9}\) ?

(e) Is \(\frac{4}{5}\) equal to \(\frac{16}{20}\)?

(d) Is \(\frac{1}{15}\) equal to \(\frac{4}{30}\)?

Solution:

(a) \(\frac{5}{9} \neq \frac{4}{5}\) because 5 x 5 ≠ 9 x 4 i.e., 25 ≠ 36

(b) \(\frac{9}{16} \neq \frac{5}{9}\) because 9 x 9 ≠ 16 x 5 i.e., 81 ≠ 80

(c) \(\frac{4}{5}=\frac{16}{20}\) because 4 x 20 = 5 x 16 i.e., 80 = 80

(d) \(\frac{1}{15} \neq \frac{4}{30}\) because 1 x 30 ≠ 15 x 4 i.e., 30 ≠ 60.

Question 9.

Ila read 25 pages of a book containing 100 pages. Lalita read \(\frac{1}{2}\) of the same book. Who read less ?

Solution:

Pages read by Ila = 25

Pages read by Lalita = \(\frac{1}{2}\) x 100 = 50

∵ 25 < 50

∴ Ila read less pages.

Question 10.

Rafiq exercised for \(\frac{3}{6}\) of an hour, while Rohit exercised for \(\frac{3}{4}\) of an hour.

Who exercised for a longer time ?

Solution:

Rafiq exercised for \(\frac{3}{6}=\frac{1}{2}\) of an hour = \(\frac{1}{2}\) x 60 = 30 min.

Rohit exercised for \(\frac{3}{4}\) of an hour = \(\frac{3}{4}\) x 60 = 45 min.

∴ Rohit exercised for a longer time.

Question 11.

In a class A of 25 students 20 passed in first class; in another class B of 30 students, 24 passd in first class. In which class were there more number of students getting first class ?

Solution:

Fraction of the students passed in first class in class A = \(\frac{20}{25}=\frac{4}{5}\)

Fraction of the students passed in first class in class B = \(\frac{24}{30}=\frac{4}{5}\)

∴ Equal number of students got first class in both the classes.