# How do you simplify 1/3+1/4?

Nov 23, 2016

$\frac{7}{12}$

#### Explanation:

To add two fractions you must first have them represented with common denominators. In this case the Lowest Common Denominator (LCD) is $12$.

Therefore we must multiply each fraction by the necessary form of $1$ to ensure the denominator is $12$:

$\left(\frac{4}{4} \cdot \frac{1}{3}\right) + \left(\frac{3}{3} \cdot \frac{1}{4}\right) \implies \frac{4}{12} + \frac{3}{12}$

We can now add the fractions:

$\frac{4}{12} + \frac{3}{12} \implies \frac{4 + 3}{12} \implies \frac{7}{12}$