Question

How do you solve `\frac { 15} { n } = \frac { 24} { 128}`?

Answer 1

See a solution process below:

Explanation:

Because both sides of the equation are pure fractions we can "flip" the fractions without affecting the result:

`n/15 = 128/24`

`n/15 = (8 * 16)/(8 * 3)`

`n/15 = (color(red)(cancel(color(black)(8))) * 16)/(color(red)(cancel(color(black)(8))) * 3)`

`n/15 = 16/3`

Now, multiply each side of the equation by `color(red)(15)` to solve for `n` while keeping the equation balanced:

`color(red)(15) xx n/15 = color(red)(15) xx 16/3`

`cancel(color(red)(15)) xx n/color(red)(cancel(color(black)(15))) = cancel(color(red)(15))color(red)(5) xx 16/color(red)(cancel(color(black)(3)))`

`n = 5 xx 16`

`n = 80`