Question

How do you solve the proportion `5/12=x/36`?

Answer 1

See the entire solution process below:

Explanation:

Multiply each side of the equation by `color(red)(36)` to solve for `x`:

`color(red)(36) xx 5/12 = color(red)(36) xx x/36`

`(3 xx 12) xx 5/12 = cancel(color(red)(36)) xx x/color(red)(cancel(color(black)(36)))`

`(3 xx color(red)(cancel(color(black)(12)))) xx 5/color(red)(cancel(color(black)(12))) = x`

`15 = x`

`x = 15`

and

`5/12 = 15/36`

Answer 2

`x=15`

Explanation:

Multiply the numerator/denominator of the fraction on the left side by 3. This creates 2 equivalent fractions.

`rArr5/12xx3/3=15/36`

`"now we have "15/36=x/36`

`rArrx=15`