# How do you simplify 3/14 + 17/63?

Feb 14, 2017

See the entire simplification process below:

#### Explanation:

First, we need to multiply each fraction by the appropriate form of $1$ to have each fraction over a common denominator:

$2 \times 63 = 126$

$9 \times 14 = 126$

Therefore we need to multiply $\frac{3}{14}$ by $\frac{9}{9}$ and we need to multiply $\frac{17}{63}$ by $\frac{2}{2}$.

$\frac{3}{14} + \frac{17}{63}$ becomes:

$\left(\frac{9}{9} \times \frac{3}{14}\right) + \left(\frac{2}{2} \times \frac{17}{63}\right) \to$

$\frac{27}{126} + \frac{34}{126}$

Now, with each fraction over a common denominator we can add the numerators:

$\frac{27 + 34}{163} \to$

$\frac{61}{163}$

Feb 14, 2017

61/126