Question

How do you solve `\frac { 4} { 7} = 52/x`?

Answer 1

See a solution process below:

Explanation:

First, because both sides of the equation are pure fractions we can "flip" both the fractions giving:

`7/4 = x/52`

Now, multiply each side of the equation by `color(red)(52)` to solve for `x` while keeping the equation balanced:

`color(red)(52) xx 7/4 = color(red)(52) xx x/52`

`cancel(color(red)(52))13 xx 7/color(red)(cancel(color(black)(4))) = cancel(color(red)(52)) xx x/color(red)(cancel(color(black)(52)))`

`91 = x`

`x = 91`