Solve x/y/1/frac{2{3}}

$$\frac { \frac { \frac { x } { y } } { 1 } } { \frac { 2 } { 3 } }$$

Evaluate

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

Solution Steps

Divide \frac{\frac{x}{y}}{1} by \frac{2}{3} by multiplying \frac{\frac{x}{y}}{1} by the reciprocal of \frac{2}{3}.

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

Express \frac{x}{y}\times 3 as a single fraction.

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

Express \frac{\frac{x\times 3}{y}}{2} as a single fraction.

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

Differentiate w.r.t. x

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