Question

How do you solve `3/4n = -1 3/4n - 18`?

Answer 1

`n=-36/5`

Explanation:

`3/4n=-1 3/4n-18`

Convert `1 3/4` into an improper fraction by multiplying the denominator `4` times the whole number `1`, then adding the numerator to get `(4xx1+3)` and place the result over the denominator `4` as shown below. Be sure to include the negative sign.

`1 3/4n=-((4xx1+3))/(4n)=-7/4n`

Rewrite the equation.

`3/4n=-7/4n-18`

Add `-7/4n` to both sides.

`3/4n+7/4n=-18`

Simplify.

`(3n)/(4)+(7n)/(4)=-18`

Multiply both sides times `4`.

`3n+7n=-72`

Simplify.

`10n=-72`

Divide both sides by `10`.

`n=-72/10`

Simplify.

`n=-36/5`