# Chapter 7 - Algebraic Fractions - 7.3 - Adding and Subtracting Algebraic Fractions - Problem Set 7.3: 39

$\frac{11y}{12}$

#### Work Step by Step

By inspection, we see that the LCM of the denominators is $12$. Therefore, we create a common denominator to obtain: $\frac{y}{6}+\frac{3y}{4}$ $=\frac{2(y)+3(3y)}{12}$ $=\frac{2y+9y}{12}$ $=\frac{11y}{12}$

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