Question

If `\frac { 7} { 4} m = 49`, what is `m`?

Answer 1

See a solution process below:

Explanation:

Multiply each side of the equation by `color(red)(4)/color(blue)(7)` to solve for `m` while keeping the equation balanced:

`color(red)(4)/color(blue)(7) xx 7/4m = color(red)(4)/color(blue)(7) xx 49`

`cancel(color(red)(4))/cancel(color(blue)(7)) xx color(blue)(cancel(color(black)(7)))/color(red)(cancel(color(black)(4)))m = color(red)(4)/cancel(color(blue)(7)) xx color(blue)(cancel(color(black)(49)))7`

`m = 28`