# Question #c4bdd

Sep 20, 2017

Melissa ran $11 \frac{29}{60}$ miles in all.

#### Explanation:

To solve this problem, first, you need to find a common denominator, also known as a least common multiple (LCM). The LCM of $3$, $4$, and $5$ is $60$, so you know you need to change all of the fractions to a denominator of $60$.

• $\frac{2}{5}$ is equal to $\frac{24}{60}$
• $\frac{3}{4}$ is $\frac{45}{60}$
• $\frac{1}{3}$ is $\frac{20}{60}$

Add these up and you get $\frac{89}{60}$. Change this into a mixed number and you get $1 \frac{29}{60}$. Then you add the mixed numbers and get $6 + 2 + 2$, which is $10$.

$10 + 1 \frac{29}{60} = \frac{11}{60}$