How to multiply fractions

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Fractions look tricky to work with but multiplying them can be quite easy and fun. Plus, knowing how to multiply fractions is also important for learning how to divide fractions.

Here are four basic steps:

  1. Make sure the fractions are written and lined up properly.
  2. Multiply the numerators (the top numbers).
  3. Multiply the denominators (the bottom numbers).
  4. Simplify the product (resulting fraction) if necessary.

In one sentence, multiplying fractions is simply “multiplying the tops and multiplying the bottoms”.

Multiplying fraction with a whole number:

  1. Make the whole number a fraction by using 1 as its denominator or thinking or it as the top number.
  2. Multiply the tops and multiply the bottoms.

Multiplying mixed fractions:

1. Convert the mixed fraction to improper fraction.

  • Multiply the whole number by the denominator.
  • Add the answer to the numerator.
  • Write the result as the new numerator.

2. Multiply the fractions.
3. Convert back to mixed fractions.

  • Divide the numerator by the denominator.
  • Write the whole number at the side.
  • Write the remainder as the numerator above the denominator.

The basic multiplication of fractions is a breeze but mixed numbers and whole numbers can take a little bit of practice to master. Following the steps above can help in easing the confusion that come with multiplication and with fractions.

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