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# 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