Resources

Fraction Examples

Worked examples for adding, subtracting, multiplying, dividing, and reducing fractions.

How to use the fraction examples calculator

These examples support the fraction calculator by showing the written work students are often asked to provide.

  1. Identify the operation.
  2. Find a common denominator when needed.
  3. Combine numerators or multiply/divide as appropriate.
  4. Reduce the result.

Formula or method

For unlike denominators, use a common denominator before adding or subtracting.

Worked examples

Add unlike denominators

Problem: 1/4 + 1/6

Solution: LCM is 12, so 3/12 + 2/12 = 5/12.

Multiply fractions

Problem: 2/3 * 3/5

Solution: Multiply straight across: 6/15 = 2/5.