Question

How do you solve `\frac{8}{20}=\frac{32}{n}`?

Answer 1

See the entire solution process below:

Explanation:

First, multiply each side of the equation by `color(red)(20)/color(blue)(8)` to isolate the terms on one side of the equation while keeping the equation balanced:

`color(red)(20)/color(blue)(8) xx 8/20 = color(red)(20)/color(blue)(8) xx 32/n`

`cancel(color(red)(20))/cancel(color(blue)(8)) xx color(blue)(cancel(color(black)(8)))/color(red)(cancel(color(black)(20))) = color(red)(20)/cancel(color(blue)(8)) xx (color(blue)(cancel(color(black)(32)))4)/n`

`1 = 80/n`

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

`color(red)(n) xx 1 = color(red)(n) xx 80/n`

`n = cancel(color(red)(n)) xx 80/color(red)(cancel(color(black)(n)))`

`n = 80`