Chapter 0.4, Problem 22E

To determine

To find: The simplest form of the given sum or difference.

Answer to Problem 22E

The simplest form of the sum is $\frac{11}{14}$ .

Explanation of Solution

Given:

The given sum is $\frac{3}{7}+\frac{5}{14}$ .

Calculation:

Consider the given sum,

  $\frac{3}{7}+\frac{5}{14}$

Consider the factors of 7 is,

  $7=1\times 7$

Consider the factors of 14 is,

  $14=2\times 7$

Consider the LCM of 7 and 14 is,

  $2\times 7=14$

Consider the fraction

  $\frac{3}{7}$ as,

  $\begin{array}{c}\frac{3}{7}=\frac{3\times 2}{7\times 2}\\ =\frac{6}{14}\end{array}$

Then, the sum is,

  $\begin{array}{c}\frac{6}{14}+\frac{5}{14}=\frac{6+5}{14}\\ =\frac{11}{14}\end{array}$