Chapter 9.5, Problem 49CCR

To determine

To find the sum in simplest form.

Answer to Problem 49CCR

The sum of $\frac{1}{6}+\frac{3}{12}=\frac{5}{12}$ .

Explanation of Solution

Given information:

The given fractions are:

  $\frac{1}{6}+\frac{3}{12}$

Calculation:

The sum can be calculated by:

  $\begin{array}{l}\frac{1}{6}+\frac{3}{12}\\ =\frac{2}{12}\text{+}\frac{3}{12}\left[\begin{array}{l}\text{Least common multiple of 6 and 12 is 12}\\ \text{Convert into like fractions}\end{array}\right]\\ =\frac{5}{12}\left[\text{Add the numerators}\right]\end{array}$

Hence, the sum of $\frac{1}{6}+\frac{3}{12}=\frac{5}{12}$ .