Question

How do you solve `4/5 x = 2/5`?

Answer 1

See a solution process below:

Explanation:

Multiply each side of the equation by `color(red)(5)/color(blue)(4)` to solve for `x` while keeping the equation balanced:

`color(red)(5)/color(blue)(4) xx 4/5x = color(red)(5)/color(blue)(4) xx 2/5`

`cancel(color(red)(5))/cancel(color(blue)(4)) xx color(blue)(cancel(color(black)(4)))/color(red)(cancel(color(black)(5)))x = cancel(color(red)(5))/color(blue)(4) xx 2/color(red)(cancel(color(black)(5)))`

`x = 2/4`

`x = 2/(2 xx 2)`

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

`x = 1/2`