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(a) denominator 20

(b) numerator 9

(c) denominator 30

(d) numerator 27

Answer :

(a) We require denominator 20

Let M be the numerator of the fractions

\(\therefore \frac{M}{20} = \(\frac{3}{5} \)

5 × M = 20 × 3

M = (20 × 3) ÷ 5 = 12

Therefore the required fraction is \(\frac{12}{20} \)

(b) We require numerator 9

Let N be the denominator of the fractions

\(\therefore \frac{9}{N} = \(\frac{3}{5} \)

3 × N = 9 × 5

N = (9 × 5) ÷ 3 = 15

Therefore the required fraction is \(\frac{9}{15} \)

(c) We require denominator 30

Let D be the numerator of the fraction

\(\therefore \frac{D}{30} = \(\frac{3}{5} \)

5 × D = 3 × 30

D = (3 × 30) ÷ 5

= 18

Therefore the required fraction is \(\frac{18}{30} \)

(d) We require numerator 27

Let X be the denominator of the fraction

\(\therefore \frac{27}{X} = \(\frac{3}{5} \)

3 × X = 5 × 27

X = (5 × 27) ÷ 3 = 45

Therefore the required fraction is \(\frac{27}{45} \)

- Q.1 Write the fractions. Are all these fractions equivalent?
- Q.2 Write the fractions and pair up the equivalent fractions from each row.
- Q.3 Replace \(\square \)in each of the following by the correct number: (a) \(\frac{2}{7} = \frac{8}{\square } \) (b) \(\frac{5}{8} = \frac{10}{\square } \) (c) \(\frac{3}{5}= \frac{\square }{20} \) (d) \(\frac{45}{60} = \frac{15}{\square } \) (e) \(\frac{18}{24}= \frac{\square }{4} \)
- Q.5 Find the equivalent fraction of 36 / 48 with (a) numerator 9 (b) denominator 4
- Q.6 Check whether the given fractions are equivalent: (a) \(\frac{5}{9} , \frac{30}{54} \) (b) \(\frac{3}{10} , \frac{12}{50} \) (c) \(\frac{7}{13} , \frac{5}{11} \)
- Q.7 Reduce the following fractions to simplest form: (a) \(\frac{48}{60} \) (b) \(\frac{150}{60} \) (c) \(\frac{84}{98} \) (d) \(\frac{12}{52} \) (e) \(\frac{7}{28} \)
- Q.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 her/his pencils?
- Q.9 Match the equivalent fractions and write two more for each. (i) \(\frac{250}{400} \) (a) \(\frac{2}{3} \) (ii) \(\frac{180}{200} \) (b) \(\frac{2}{5} \) (iii) \(\frac{660}{990} \) (c) \(\frac{1}{2} \) (iv) \(\frac{180}{360} \) (d) \(\frac{5}{8} \) (v) \(\frac{220}{550} \) (e) \(\frac{9}{10} \)

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