# How do you simplify \frac { 4} { 5} + \frac { 7} { 8} ?

Mar 4, 2018

See a solution process below:

#### Explanation:

We need to put each fraction over a common denominator by multiplying each fraction by the appropriate form of $1$:

$\frac{4}{5} = \frac{8}{8} \times \frac{4}{5} = \frac{8 \times 4}{8 \times 5} = \frac{32}{40}$

$\frac{7}{8} = \frac{5}{5} \times \frac{7}{8} = \frac{5 \times 7}{5 \times 8} = \frac{35}{40}$

We can now add the numerators of the two fractions over the common denominator.

$\frac{32}{40} + \frac{35}{40} = \frac{32 + 35}{40} = \frac{67}{40}$

If necessary, we can convert this improper fraction into a mixed number as follows:

$\frac{67}{40} = \frac{40 + 27}{40} = \frac{40}{40} + \frac{27}{40} = 1 + \frac{27}{40} = 1 \frac{27}{40}$