Addition and Subtraction of Fractions with Like Denominators

The illustration below show how to add and subtract fractions with like denominators:


To add or subtract fractions with like denominators, write the sum or difference of the numerators over the denominator.
$\frac{a}{c} + \frac{b}{c}=\frac{a+b}{c}$
$\frac{a}{c} - \frac{b}{c}=\frac{a-b}{c}$

Examples: 
1. $\frac{4}{6} + \frac{2}{6}=\frac{6}{6}=1$

2. $\frac{6}{11} - \frac{3}{11}=\frac{3}{11}$

3. $\frac{7}{3} - \frac{2}{3}=\frac{5}{3} $ or $1\frac{2}{3}$

4. $\frac{1}{8} + \frac{4}{8} + \frac{2}{8}=\frac{7}{8}$

5.  $(\frac{10}{13} + \frac{2}{13}) - \frac{7}{13}=\frac{5}{13}$


Always write your answer in lowest term.  If for instance your numerator is greater than the denominator then write the answer as a mixed number like in example 3 or if they are equal then you get a whole number like example 1. When you see a parenthesis, work inside it first like in example 5.