# How do you solve 1 7/16 + s = 9/8?

Jul 16, 2015

$\textcolor{red}{s = - \frac{5}{16}}$

#### Explanation:

$1 \frac{7}{16} + s = \frac{9}{8}$

I would multiply both sides of the equation by the lowest common multiple of the denominators.

The lowest common multiple of 16 and 8 is 16.

16(1 7/16 + s) = 16 × 9/8

16×23/16 + 16s = 18

$23 + 16 s = 18$

Subtract 23 from each side,

$23 + 16 s - 23 = 18 - 23$

$16 s = - 5$

Divide both sides by 16.

$\frac{16 s}{16} = - \frac{5}{16}$

$s = - \frac{5}{16}$

Check:

$1 \frac{7}{16} + s = 1 \frac{7}{16} + \left(- \frac{5}{16}\right) = \frac{23}{16} - \frac{5}{16} = \frac{18}{16} = \frac{9}{8}$