# How do you simplify (9x-21)/(15x-35)?

Nov 1, 2015

$\frac{9 x - 21}{15 x - 35} = \frac{3}{5}$

#### Explanation:

$\frac{9 x - 21}{15 x - 35}$

Factor out the GCF $3$ out of the numerator.

$\frac{3 \left(3 x - 7\right)}{15 x - 35}$

Factor out the GCF $5$ out of the denominator.

$\frac{3 \left(3 x - 7\right)}{5 \left(3 - 7\right)}$

Cancel #(3x-7) in the numerator and denominator.

$\frac{3 \cancel{\left(3 x - 7\right)}}{5 \cancel{\left(3 - 7\right)}} = \frac{3}{5}$