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Arithmetic & Fractions

Get a common denominator to add or subtract, multiply straight across, and flip to divide.

The rules

  • Add or subtract fractions only after they have the same denominator.
  • Multiply numerators and denominators. To divide, multiply by the reciprocal.
  • Order of operations: parentheses, exponents, multiplication and division left to right, then addition and subtraction.
  • Simplify at the end, and check whether the answer should be a mixed number or a decimal.
Watch out: Adding denominators (1/3 + 1/4 is not 2/7).
Worked example

What is 3/4 + 5/8?

  1. Rewrite 3/4 as 6/8.
  2. 6/8 + 5/8 = 11/8.

Answer: 11/8

Try it yourself

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