Question

How do you solve `5/6 = b / 48`?

Answer 1

See a solution process below:

Explanation:

Multiply each side of the equation by `color(red)(48)` to solve for `b` while keeping the equation balanced:

`color(red)(48) xx 5/6 = color(red)(48) xx b/48`

`(color(red)(8) xx color(red)(6)) xx 5/6 = cancel(color(red)(48)) xx b/color(red)(cancel(color(black)(48)))`

`(color(red)(8) xx cancel(color(red)(6))) xx 5/color(red)(cancel(color(black)(6))) = b`

`color(red)(8) xx 5 = b`

`40 = b`

`b = 40`