Adding Fractions with Unlike Denominators Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
Add 13+14\frac{1}{3} + \frac{1}{4}.

Solution

  1. 1
    Find the LCD of 3 and 4: LCD=12\text{LCD} = 12.
  2. 2
    Rewrite each fraction: 13=412\frac{1}{3} = \frac{4}{12} and 14=312\frac{1}{4} = \frac{3}{12}.
  3. 3
    Add: 412+312=712\frac{4}{12} + \frac{3}{12} = \frac{7}{12}.

Answer

712\frac{7}{12}
To add fractions with unlike denominators, first convert them to equivalent fractions with a common denominator (the LCD), then add the numerators.

About Adding Fractions with Unlike Denominators

Adding fractions with different denominators by first rewriting them with a common denominator (usually the LCD), then adding numerators.

Learn more about Adding Fractions with Unlike Denominators →

More Adding Fractions with Unlike Denominators Examples

Example 2 medium

Subtract [formula].

Example 3 medium

Add [formula].

Example 4 hard

Compute [formula].

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