# How do you simplify (1/x) / ((3x)/5)?

May 26, 2015

Dividing is the same as multiplying by the reciprocal.

So$\frac{\frac{1}{x}}{\frac{3 x}{5}}$

$= \frac{1}{x} \cdot \frac{5}{3 x}$

$= \frac{5}{3 {x}^{2}}$

May 27, 2015

$\frac{\frac{1}{x}}{\frac{3 x}{5}}$

$= \left(\frac{1}{x}\right) \cdot {\left(\frac{3 x}{5}\right)}^{- 1}$

$= \left(\frac{1}{x}\right) \cdot \left(\frac{5}{3 x}\right)$

$= \frac{5}{3 {x}^{2}}$