Question

Simplify this expression. 2q/16(q+r)

Answer 1

The denominator can be simplified with the distributive property.

$\frac{2q}{16(q + r)}$

$\frac{2q}{16q + 16r}$

Then simplify the fraction by prime factorizing each term in the fraction and cancel out common factors.

$\frac{2q}{16q + 16r} = \frac{(2)(q)}{(2)(2)(2)(2)(q) + (2)(2)(2)(2)(r)} = \\ \\ \frac{1}{(2)(2)(2) + (2)(2)(2)(2)(r)} = \frac{1}{8 + 16r}$

So, that is the simplified form.