Question

How do you multiply and simplify `\frac { 10m } { 10m - 90} \cdot \frac { 10m - 90} { 4m }`?

Answer 1

See the entire solution process below:

Explanation:

First, cancel the common terms in the numerator and denominator of the fractions:

`(10color(red)(cancel(color(black)(m))))/color(blue)(cancel(color(black)(10m - 90))) * color(blue)(cancel(color(black)(10m - 90)))/(4color(red)(cancel(color(black)(m)))) = 10/4 = (2 xx 5)/(2 xx 2) = (color(red)(cancel(color(black)(2))) xx 5)/(color(red)(cancel(color(black)(2))) xx 2) = 5/2`

However:

`4m != 0` or `m != 0`

and

`10m - 90 != 0` or `m != 9`