Question

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

Answer 1

The denominator can be simplified with the distributive property.


`(2q)/(16(q + r))`


`(2q)/(16q + 16r)`

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


`(2q)/(16q + 16r) = ((2)(q))/((2)(2)(2)(2)(q) + (2)(2)(2)(2)(r)) = \\ \\ (1)/((2)(2)(2) + (2)(2)(2)(2)(r)) = (1)/(8 + 16r)`

So, that is the simplified form.