# How do you simplify 5/7+31/3?

Jan 12, 2017

See full simplification process below:

#### Explanation:

To add two fractions they must be over a common denominator, in this case 21. To put the two fractions over common denominators we must multiply each fraction by the appropriate form of $1$:

$\frac{5}{7} + \frac{31}{3} = \left(\frac{3}{3} \times \frac{5}{7}\right) + \left(\frac{7}{7} \times \frac{31}{3}\right) = \frac{15}{21} + \frac{217}{21}$

We can now add the numerators over the common denominator:

$\frac{15}{21} + \frac{217}{21} = \frac{15 + 217}{21} = \frac{232}{21}$