Adding Fractions with Like Denominators Math Example 4

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Example 4

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Compute 411+511+611\frac{4}{11} + \frac{5}{11} + \frac{6}{11} and simplify.

Solution

  1. 1
    Add all numerators: 4+5+6=154 + 5 + 6 = 15. Denominator stays 1111: 1511\frac{15}{11}.
  2. 2
    Convert to mixed number: 15รท11=115 \div 11 = 1 remainder 44, so 1511=1411\frac{15}{11} = 1\frac{4}{11}.

Answer

14111\frac{4}{11}
When adding three or more like-denominator fractions, add all numerators together in one step. An improper result should be expressed as a mixed number.

About Adding Fractions with Like Denominators

Adding fractions that share the same denominator by adding the numerators and keeping the denominator.

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