Question

If $\frac{x}{y}=\frac{15}{4}$ then find the value of $\frac{2y}{3x+2y}$

Answer 1

Given:-

$\frac{x}{y}=\frac{15}{4}$

$\Rightarrow x=\frac{15}{4}y$

To find:-

$\frac{2y}{3x+2y}=?$

$\frac{2y}{3x+2y}$

$=\frac{2y}{3\left(\frac{15y}{4}\right)+2y}$

$=\frac{2y\times 4}{45y+8y}$

$=\frac{8y}{53y}$

$=\frac{8}{53}$

Hence the correct answer is $\frac{8}{53}$.