Question

Which of the following is/are equivalent rational numbers with respect to $\frac{3}{2}$?

• A. $\frac{12}{10}$
• B. $\frac{27}{18}$
• C. $\frac{15}{8}$
• D. $\frac{39}{26}$

Answer 1

Answer: (B), (D)

The correct options are
B $\frac{27}{18}$
D $\frac{39}{26}$

Equivalent rational numbers can be obtained by multiplying or dividing both numerator and denominator of a rational number by the same non-zero integer.
Note that,
$\frac{3\times 9}{2\times 9}$ = $\frac{27}{18}$
$\frac{3\times 13}{2\times 13}$ = $\frac{39}{26}$