Question

How do you solve `\frac { 3} { 8} = \frac { 6} { x }`?

Answer 1

See the entire solution process below:

Explanation:

First, multiply each side of the equation by `color(red)(8)color(blue)(x)` to eliminate the fractions:

`color(red)(8)color(blue)(x) xx 3/8 = color(red)(8)color(blue)(x) xx 6/x`

`cancel(color(red)(8))color(blue)(x) xx 3/color(red)(cancel(color(black)(8))) = color(red)(8)cancel(color(blue)(x)) xx 6/color(blue)(cancel(color(black)(x)))`

`3x = 48`

Now, divide each side of the equation by `color(red)(3)` to solve for `x` while keeping the equation balanced:

`(3x)/color(red)(3) = 48/color(red)(3)`

`(color(red)(cancel(color(black)(3)))x)/cancel(color(red)(3)) = 16`

`x = 16`