Grade 5 · Math

Add fractions with unlike denominators

The idea

Find a common multiple of the two denominators.

Step by step
  1. Find a common multiple of the two denominators.
  2. Multiply the numerator and denominator of each fraction by the same factor to use that common denominator.
  3. Add the numerators, keep the common denominator, then simplify and check the size of the answer.

Example

Find + 1/3. Give the answer in simplest form.

Answer

Use denominator 6: + = = 5/6.

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Try it together

Use fraction strips to model + 1/3. Rename both in sixths and connect the picture to the calculation.

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