Adding Fractions with Unlike Denominators Math Example 4

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

Example 4

hard
Compute 710+215−16\frac{7}{10} + \frac{2}{15} - \frac{1}{6}.

Solution

  1. 1
    Find the LCD of 10, 15, and 6: LCD=30\text{LCD} = 30.
  2. 2
    Convert: 710=2130\frac{7}{10} = \frac{21}{30}, 215=430\frac{2}{15} = \frac{4}{30}, 16=530\frac{1}{6} = \frac{5}{30}.
  3. 3
    Combine: 21+4−530=2030=23\frac{21 + 4 - 5}{30} = \frac{20}{30} = \frac{2}{3}.

Answer

23\frac{2}{3}
When combining three or more fractions, find a single LCD for all denominators, convert each fraction, then perform the additions and subtractions in order.

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 1 easy

Add [formula].

Example 2 medium

Subtract [formula].

Example 3 medium

Add [formula].

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