# How do you solve \frac { 5} { 8} + \frac { 3} { 2} ( 4- \frac { 1} { 4} ) - \frac { 1} { 8}?

Mar 11, 2018

$\frac{21}{4}$

#### Explanation:

$\frac{5}{8} + \frac{3}{2} \left(\frac{4 \cdot 4 - 1}{4}\right) - \frac{1}{8}$

$\frac{5}{8} + \frac{3}{2} \left(\frac{16 - 1}{4}\right) - \frac{1}{8}$

$\frac{5}{8} + \frac{3}{2} \left(\frac{15}{4}\right) - \frac{1}{8}$

$\frac{5}{8} + \frac{45}{8} - \frac{1}{8}$

$\frac{5 + 45 - 8}{8}$

$\frac{50 - 8}{8}$

$\frac{42}{8}$

$\frac{21}{4} \text{ }$(divide the numerator and the denominator by $2$)