Question

How do you multiply `\frac { 5} { 9} \times \frac { 42} { 6} \times \frac { 12} { 15}`?

Answer 1

See a solution process below:

Explanation:

First, cancel common terms across the numerators and denominators to simplify the math:

`5/9 xx 42/6 xx 12/15 =>`

`(color(red)(cancel(color(black)(5)))1)/(color(green)(cancel(color(black)(3))) * 3) xx (color(blue)(cancel(color(black)(42)))7)/(color(blue)(cancel(color(black)(6)))1) xx (color(green)(cancel(color(black)(3))) * 4)/(color(red)(cancel(color(black)(15)))3) =>`

`1/3 xx 7/1 xx 4/3`

Now, multiply the numerators over the denominators multiplied:

`(1 xx 7 xx 4)/(3 xx 1 xx 3) =>`

`28/9`