Question

If $\frac{a}{b}$ = $\frac{8}{3},$ then the ratio $\frac{a+4b}{4b}$ is .

• A. $\frac{16}{12}$
• B. $\frac{12}{12}$
• C. $\frac{10}{12}$
• D. $\frac{20}{12}$

Answer 1

The correct option is D $\frac{20}{12}$

Given: $\frac{a}{b}=\frac{8}{3}$
Multiplying the above equation by '4', it becomes:
$\Rightarrow \frac{a}{4b}=\frac{8}{4\times 3}=\frac{8}{12}$
$\Rightarrow \frac{a+4b}{4b}=\frac{8+12}{12}$ (Using Componendo)
$\Rightarrow \frac{a+4b}{4b}=\frac{20}{12}$
Hence, $\frac{a+4b}{4b}=\frac{20}{12}$