Question

Which of the following is/are equivalent rational numbers with respect to $\frac{2}{5}$?

• A. $\frac{6}{10}$
• B. $\frac{8}{20}$
• C. $\frac{38}{95}$
• D. $\frac{42}{105}$

Answer 1

Answer: (B), (C), (D)

The correct options are
B $\frac{8}{20}$
C $\frac{38}{95}$
D $\frac{42}{105}$

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,
$\frac{2\times 4}{5\times 4}$ = $\frac{8}{20}$
$\frac{2\times 19}{5\times 19}$ = $\frac{38}{95}$
$\frac{2\times 21}{5\times 21}$ = $\frac{42}{105}$