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(a) numerator 9

(b) denominator 4

Answer :

(a) Given numerator = 9

\(\therefore \frac{9}{X} = \frac{36}{48} \)

X × 36 = 9 × 48

X = (9 × 48) / 36

X = 12

Hence, the equivalent fraction is \(\frac{9}{12} \)

(b) Given, denominator = 4

\(\therefore \frac{X}{4} = \frac{36}{48} \)

X × 48 = 4 × 36

X = (4 × 36) / 48 = 3

Hence, the equivalent fraction is \(\frac{3}{4} \)

- 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.4 Find the equivalent fraction of \(\frac{3}{5} \)having (a) denominator 20 (b) numerator 9 (c) denominator 30 (d) numerator 27
- 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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