Haryana State Board HBSE 6th Class Maths Solutions Chapter 7 Fractions Ex 7.3 Textbook Exercise Questions and Answers.

## Haryana Board 6th Class Maths Solutions Chapter 7 Fractions Exercise 7.3

Question 1.

Write the fractions. Are all these fractions equivalent ?

Solution:

(a) \(\frac{1}{2}, \frac{2}{4}, \frac{3}{6}, \frac{4}{8}\). All these fractions are equivalent.

(b) ,\(\frac{4}{12}, \frac{3}{9}, \frac{2}{6}, \frac{1}{3}, \frac{6}{15}\). First four fractions are equivalent. All fractions are not equivalent. 14 a bo 15

Question 2.

Write the fractions and pair up the equivalent fraction from each row A and B.

Solution:

Question 3.

Replace in each of the following by the correct number:

Solution:

Question 4.

Find the equivalent fraction of \(\frac{3}{5}\) having

(a) denominator 20

(b) numarator 9

(c) denominator 30

(d) numarator 27

Solution:

Question 5.

Find the equivalent fraction of \(\frac{36}{48}\) with

(a) numarator 9

(b) denominator 4

Solution:

Question 6.

Check whether the given fractions are equivalent :

(a) \(\frac{5}{9}, \frac{30}{54}\)

(b) \(\frac{3}{10}, \frac{12}{50}\)

(c) \(\frac{7}{13}, \frac{5}{11}\)

Solution:

Question 7.

Reduce the following fractions to their simplest forms :

(a) \(\frac{48}{60}\)

(b) \(\frac{150}{60}\)

(c) \(\frac{84}{98}\)

(d) \(\frac{12}{52}\)

(e) \(\frac{7}{28}\)

Solution:

Question 8.

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

Solution:

∵ Ramesh had 20 pencils and he used up 10 pencils.

Fraction of pencils used by Ramesh = \(\frac{10}{20}=\frac{1}{2}\)

∵ Sheelu had 50 pencils and she used up 25 pencils.

∴ Fraction of pencils used by Sheelu = \(\frac{25}{50}=\frac{1}{2}\)

∵ Jamaal had 80 pencils and he used up 40 pencils.

∴ Fraction of pencils used up by Jamaal = \(\frac{40}{80}=\frac{1}{2}\)

Yes, each had used up an equal fraction of their pencils.

Question 9.

Match the equivalent fractions and write other 2 for each :

Solution:

Solution:

To reduce \(\frac{250}{400}\) we find the H .C.F. of 250 and 400.

We have

∴ 250 = 2 x 5 x 5 x 5

and 400 = 2 x 2 x 2 x 2 x 5 x 5

∴ H.C.F. of 250 and 400

= 2 x 5 x 5 = 50

\(\frac{250}{400}=\frac{250 \div 50}{400 \div 50}=\frac{5}{8}\)

Thus (i) is matched to (d).

(ii) To reduce \(\frac{180}{200}\) we find the HCF of 180 and 200.

We have

∴ 180 = 2 x 2 x 3 x 3 x 5

and 200 = 2 x 2 x 2 x 5 x 5

∴ HCF of 180 and 200

= 2 x 2 x 5 = 20

\(\frac{180}{200}=\frac{180 \div 20}{200 \div 20}=\frac{9}{10}\)

Thus, (ii) is matched to (e).

(iii) To reduce \(\frac{660}{990}\), we find the HCF of

660 and 990.

We have

∴ 660 = 2 x 2 x 3 x 5 x 11

and 990 = 2 x 3 x 3 x 5 x 11

∴ HCF of 660 and 990

= 2 x 3 x 5 x 11 = 330

\(\frac{660}{990}=\frac{660 \div 330}{990 \div 330}=\frac{2}{3}\)

Thus, (iii) is matched to (a).

(iv) To reduce \(\frac{180}{360}\), we find the HCF of 180 and 360.

∴ 180 = 180

360 = 180 x 2

∴ HCF of 180 and 360 = 180

\(\)

Thus, (iv) is matched to (c).

(v) To reduce \(\frac{220}{550}\), we find the HCF of 220

and 550 We have

220 = 550

and 220 = 2 x 110

HCF of 220 and 550 = 110

\(\)

Thus, (v) is matched to (b).