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How well can you multiply fractions?

Multiplying fractions is a simpler process than adding or subtracting fractions. The steps are shown below.

  1. Set up the multiplication problem.
  2. Use cross-cancelation to reduce the fractions before multiplying.
  3. Multiply the numerators and then multiply the denominators.
  4. Make sure that your answer is in simplest form.

Sometimes the product of the multiplication of fractions is a whole number. Remember that the fraction bar represents division. For example:

What is the product of 43 and 184?

Set up the multiplication problem.

43184

Use cross-cancelation to reduce the fractions before multiplying.

143161841

Multiply the numerators and then multiply the denominators.

1161=61

Make sure that your answer is in simplest form.

The fraction 61 can be further simplified.

The fraction bar represents division, so 61=6 ÷ 1=6.

How well can you multiply fractions? Use the activity below to practice. Answer the question on each tab and check your answer.

What is the product of 15, 85, and 144?

84

If you need help arriving at this answer, click the solution button.

Set up the multiplication problem.

Place the whole number over 1 to make it a fraction.

15185144

Use cross-cancelation to reduce the fractions before multiplying.

315128511441

Multiply the numerators and then multiply the denominators.

3121141=841

Make sure that your answer is in simplest form.

841=84 ÷ 1=84