Question

Raj and Smith were running in a relay race, Raj ran $\frac{24}{52}$ part of the total distance. What fraction of the distance did Smith run?

• A. $\frac{9}{13}$
• B. $\frac{5}{13}$
• C. $\frac{6}{13}$
• D. $\frac{7}{13}$

Answer 1

The correct option is D

$\frac{7}{13}$

Fraction of distance run by Raj = $\frac{24}{52}$
Dividing 4 as a common factor, we get
$\Rightarrow \frac{\text{/}{}_{24}^6}{\text{/}{52}_{13}}$$=\frac{6}{13}$
$\therefore$ Fraction of distance run by Smith $=1-\frac{6}{13}=\frac{13-6}{13}$
$=\frac{7}{13}$