Question

How do you solve `\frac { 2} { 3} = \frac { a } { 18}`?

Answer 1

See the entire solution process below:

Explanation:

Multiply each side of the equation by `color(red)(18)` to solve for `a` while keeping the equation balanced:

`color(red)(18) xx 2/3 = color(red)(18) xx a/18`

`cancel(color(red)(18))6 xx 2/color(red)(cancel(color(black)(3))) = cancel(color(red)(18)) xx a/color(red)(cancel(color(black)(18)))`

`12 = a`

`a = 12`