Question

How do you solve `12/7=36/m`?

Answer 1

`color(green)(m=21)`

Explanation:

There are several ways to solve this, but since it was asked under "Rational Equations Using Proportions" let's approach it that way.

Notice that `36` is `12 xx 3`.

If we multiply the Left Side by `3/3` (equivalent to multiplying by `1`)
we get:
`color(white)("XXX")12/7 xx 3/3 =36/21`

and our original equation
`color(white)("XXX")12/7=36/mcolor(white)("XX")`becomes`color(white)("XX")36/21=36/m`
with the implication that
`color(white)("XXX")m=21`