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

Mar 2, 2018

$= \frac{41}{28} = 1 \frac{13}{28}$

#### Explanation:

$\frac{5}{7} + \frac{3}{4}$

$= \frac{5 \times 4}{7 \times 4} + \frac{3 \times 7}{4 \times 7}$ [Since Lowest Common Multiple = 28]

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

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

$= \frac{41}{28}$

$= 1 \frac{13}{28}$

Mar 2, 2018

$\frac{41}{28}$

#### Explanation:

To add fractions, we need to find a common denominator. The easiest way to so multiply each fraction by the other denominator:

$\frac{4}{4} \times \frac{5}{7} + \frac{3}{4} \times \frac{7}{7}$

The reason we multiply by $\frac{4}{4}$ and $\frac{7}{7}$ is that these are really $1$. When we multiply by $1$ we technically don't change the value of the number

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

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

$\frac{41}{28}$

Now we simplify this:

$\frac{41 \times 1}{2 \times 2 \times 7}$

$41$ is a prime number, so we actually can't simplify this further