Question

How do you solve `\frac { 56} { 84} = \frac { x} { 12}`?

Answer 1

See a solution process below:

Explanation:

First, simplify the fraction on the left:

`(28 xx 2)/(28 xx 3) = x/12`

`(color(red)(cancel(color(black)(28))) xx 2)/(color(red)(cancel(color(black)(28))) xx 3) = x/12`

`2/3 = x/12`

Now, multiply each side of the equation by `color(red)(12)` to solve for `x` while keeping the equation balanced:

`color(red)(12) xx 2/3 = color(red)(12) xx x/12`

`cancel(color(red)(12))4 xx 2/color(red)(cancel(color(black)(3))) = cancel(color(red)(12)) xx x/color(red)(cancel(color(black)(12)))`

`8 = x`

`x = 8`