# How do you simplify 6/7+1/5?

Nov 23, 2016

$\frac{37}{35}$

#### Explanation:

First you need to get these two fractions over a common denominator. The easiest way to find a common denominator is to multiply the two denominators. In this case $7$ and $5$. So, $7 \times 5 = 35$ and we can use $35$ as the common denominator:

$\left(\frac{5}{5} \times \frac{6}{7}\right) + \left(\frac{7}{7} \times \frac{1}{5}\right) \implies \frac{30}{35} + \frac{7}{35}$

Now that these fractions are over a common denominator we can add the numerators:

$\frac{30}{35} + \frac{7}{35} \implies \frac{30 + 7}{35} \implies \frac{37}{35}$