# How do you simplify 3/8+1/6?

$\frac{13}{24}$
To add fractions you need to get have each fraction have a common denominator. In this case $24$ is a common denominator for eight's and sixth's.
First, multiple each fraction by the necessary for of $1$ for them to have a denominator of $24$. We can do this because multiplying by one does not change the value of the fraction:
$\frac{3}{8} + \frac{1}{6} \implies \left(\frac{3}{3} \cdot \frac{3}{8}\right) + \left(\frac{4}{4} \cdot \frac{1}{6}\right) \implies \frac{9}{24} + \frac{4}{24} \implies \frac{9 + 4}{24} \implies \frac{13}{24}$