Fractions

Adding and subtracting fractions

Adding and subtracting fractions with the same denominator
You can add and subtract like fractions easily - simply add or subtract the numerators and write the sum over the common denominator.
Adding and subtracting fractions with different denominator
Before you can add or subtract fractions with different denominators, you must first find equivalent fractions with the same denominator, like this:
1. Find the smallest multiple (LCM) of both numbers.
2. Rewrite the fractions as equivalent fractions with the LCM as the denominator.

$\frac{1}{6}+\frac{2}{4}=\frac{2}{12}+\frac{6}{12}=\frac{8}{12}=\frac{2}{3}$

$\frac{3}{5}-\frac{1}{5}=\frac{3-1}{5}=\frac{2}{5}$

$\frac{9}{4}+\frac{1}{2}-3=\frac{9}{4}+\frac{2}{4}-\frac{12}{4}=\frac{9+2-12}{4}=\frac{-1}{4}$

Calculate: $\frac{6}{5}-\frac{6}{2}$