Question

Which of the rational numbers given in the options is/are equivalent to $\frac{2}{3}$​

• A. 8/21
• B. 8/12
• C. 8/15
• D. 8/20

Answer 1

Answer: (A), (B), (D)

The correct options are
A

8/21

B

8/12

D

8/20

(A) $\frac{6}{9}=\frac{2\times 3}{3\times 3}=\frac{2}{3}$
(B) $\frac{8}{12}=\frac{2\times 4}{3\times 4}=\frac{2}{3}$
(C) $\frac{8}{15}\ne \frac{2}{3}$
(D) $\frac{10}{15}=\frac{2\times 5}{3\times 5}=\frac{2}{3}$
So except option (C), all are correct.