# How do you solve (4-f)/5=(f+1)/3?

Jul 12, 2016

$f = \frac{7}{8}$

#### Explanation:

This problem is simply a matter of rearranging terms and is solved as such:
$\frac{4 - f}{5} = \frac{f + 1}{3}$
$3 \left(4 - f\right) = 5 \left(f + 1\right)$
$12 - 3 f = 5 f + 5$
$12 - 5 = 5 f + 3 f$
$7 = 8 f$
$f = \frac{7}{8}$