Multiplying Fractions

Ages 1014

Difficulty adapts to you

Multiplying Fractions

Multiply the numerators to make the new numerator and multiply the denominators to make the new denominator. Then write the product in simplest form.

Your goals

  • You can multiply fractions together.
  • You can use product, simplify correctly.
  • You can estimate whether the product should be larger or smaller than each positive factor.

Words to know

product:
The result of multiplication.
simplify:
Write a fraction in an equivalent form using smaller whole numbers.

Examples

  • 12/3 × 4/5 = (2 × 4)/(3 × 5) = 8/15.
  • 23/4 × 2/3 = 6/12 = 1/2.

Check these

  • Do not look for a common denominator before multiplying.
  • Keep every number, symbol, label, and unit in its correct place.
  • Show enough working to check how you reached your answer.

Helpful habits

  • Read the whole question before choosing what to do.
  • Show one clear step at a time and check each step.
  • If you are stuck, draw a model, try smaller numbers, or revisit the example.

Now try your own

Create your own multiplying fractions example, solve it, and explain how you checked it.

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