Q.6 Check whether the given fractions are equivalent:
(a) \(\frac{5}{9} , \frac{30}{54} \)
(b) \(\frac{3}{10} , \frac{12}{50} \)
(c) \(\frac{7}{13} , \frac{5}{11} \)

(a) Given \(\frac{5}{9} \) and \(\frac{30}{54} \)
We have 5× 54 = 270
9 × 30 = 270
5 × 54 = 9 × 30
Hence, \(\frac{5}{9} \) and \(\frac{30}{54} \) are equivalent fractions
(b) Given \(\frac{3}{10} \) and \(\frac{12}{50} \)
We have 3 × 50 = 150
10 × 12 = 120
3 × 50 \(\neq \)10 × 12
Hence, \(\frac{3}{10} \) and \(\frac{12}{50} \) are not equivalent fractions
(c) Given \(\frac{7}{13} \) and \(\frac{5}{11} \)

We have 7 × 11 = 77
5 × 13 = 65
7 × 11 \(\neq \) 5 × 13
Hence, \(\frac{7}{13} \) and \(\frac{5}{11} \) are not equivalent fractions