# How do you simplify 5/7 + 3/4?

Mar 28, 2018

$\frac{5}{7} + \frac{3}{4} = \frac{41}{28}$

#### Explanation:

To add fractions, give them a denominator in common

The Lowest Common Denominator for $7$ and $4$ is $28$

That means that you should change $\frac{5}{7}$ into $\frac{20}{28}$

$\frac{5 \cdot 4}{7 \cdot 4} = \frac{20}{28}$

Next, change $\frac{3}{4}$ into $\frac{21}{28}$

$\frac{3 \cdot 7}{4 \cdot 7} = \frac{21}{28}$

Now you can add the like fractions

$\frac{20}{28} + \frac{21}{28}$

To add like fractions, add the numerators and keep the common denominator

$\frac{20}{28} + \frac{21}{28} = \frac{41}{28}$ $\leftarrow$ answer

You can convert the improper fraction into a mixed number if you want, but usually it is just left as an improper fraction.

$\frac{41}{28} = 1 \frac{13}{28}$ $\leftarrow$ same answer