# How do you simplify (5x-5)/16 div (x-1)/6?

Jul 27, 2015

Dividing is multiplying with the inverse, so invert the right fraction and then factorise.

#### Explanation:

$= \frac{5 \left(x - 1\right)}{16} \cdot \frac{6}{x - 1}$

Now we can cancel:

$= \frac{5 \cancel{\left(x - 1\right)}}{\cancel{2} \cdot 8} \cdot \frac{\cancel{2} \cdot 3}{\cancel{x - 1}} = \frac{15}{8} = 2 \frac{7}{8}$