Question

How do you solve `\frac{ 6}{ 66} = \frac{ n }{ 132}`?

Answer 1

To solve this problem multiply each side of the equation by `color(red)(132)`. See full explanation below.

Explanation:

`6/66 = n/132`

`color(red)(132) xx 6/66 = color(red)(132) xx n/132`

`color(red)(66 xx 2) xx 6/66 = cancel(color(red)(132)) xx n/color(red)(cancel(color(black)(132)))`

`cancel(color(red)(66)) xx color(red)(2) xx 6/color(red)(cancel(color(black)(66))) = cancel(color(red)(132)) xx n`

`2 xx 6 = n`

`12 = n`

`n = 12`