Question

Which of the following pairs represent the equivalent rational numbers?

• A. $\frac{36}{90}.and.\frac{52}{130}$
• B. $\frac{-15}{24}.and.\frac{-45}{-72}$
• C. $\frac{-11}{36}.and.\frac{22}{72}$
• D. None of the above

Answer 1

The correct option is A $\frac{36}{90}.and.\frac{52}{130}$

(A) $\frac{36}{90}=\frac{6}{15}=\frac{2}{5}$

$\frac{52}{130}=\frac{26}{65}=\frac{13\times 2}{13\times 5}=\frac{2}{5}$

$\therefore \frac{36}{90}$ & $\frac{52}{130}$ are equivalent rational numbers.

(B) $\frac{-15}{24}=\frac{-5}{8}$

$\frac{-45}{-72}=\frac{15}{24}=\frac{5}{8}$

$\therefore \frac{-15}{24}$ & $\frac{-45}{-72}$ are not eqivalent rational numbers.

(C) $\frac{-11}{36}$ and $\frac{22}{72}$

Again since there signs are different , they are not equivalent rational numbers.