Question

If $\frac{27}{36}=\frac{9}{12}$ $=k$, then value of $k$ is .

• A. $\frac{38}{73}$
• B. $\frac{36}{48}$
• C. $\frac{48}{36}$
• D. $\frac{4}{8}$

Answer 1

The correct option is B $\frac{36}{48}$

According to the theorem of equivalent ratios,

$\frac{a}{b}=\frac{c}{d}=\frac{a+c}{b+d}$

Hence, $\frac{27}{36}=\frac{9}{12}=k=\frac{27+9}{36+12}=\frac{36}{48}$