Question

How do you solve `4/x = 2/3`?

Answer 1

See a solution process below:

Explanation:

Because both sides of the equation are pure fractions we can flip the fractions and solve for `x` without impact the result:

`x/4 = 3/2`

`color(red)(4) xx x/4 = color(red)(4) xx 3/2`

`cancel(color(red)(4)) xx x/color(red)(cancel(color(black)(4))) = 12/2`

`x = 6`