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• Algebra
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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: $\frac{2}{2}+\frac{2}{9}$
 Solution (reduce the result):