## Algebra 1: Common Core (15th Edition)

$\frac{61}{30}$
To add 2 fractions, first we must convert them into a common denominator. In this case, we need to find a common multiple between 5 and 6. Since 30 is the smallest number divisible by both 5 and 6, it is our denominator. When multiplying a denominator by any number, to keep the value of that fraction unchanged, we must also multiply the numerator by that number. Finally, add the new numerators together and keep the denominator unchanged to find the sum. $\frac{6}{5}+\frac{5}{6}=\frac{6*6}{5*6}+\frac{5*5}{6*5}=\frac{36}{30}+\frac{25}{30}=\frac{36+25}{30}=\frac{61}{30}$