How to Multiply Fractions
Basic Math Tips: Fractions
How to Recognize Types of Fractions

Multiplying and Dividing Mixed Numbers

There's no direct method for multiplying and dividing mixed numbers. The only way is to convert the mixed numbers to improper fractions and multiply or divide as usual. Here's how to multiply or divide mixed numbers.

For example, suppose you want to multiply 1-3/5 by 2-1/3.

  1. Convert all mixed numbers to improper fractions.

    image0.jpg
  2. Multiply these improper fractions.

    image1.jpg
  3. If the answer is an improper fraction, convert it back to a mixed number.

    image2.jpg

    In this case, the answer is already in lowest terms, so you don't have to reduce it.

As a second example, suppose you want to divide 3-2/3 by 1-4/7.

  1. Convert to improper fractions.

    image3.jpg
  2. Divide these improper fractions.

    Divide fractions by multiplying the first fraction by the reciprocal of the second:

    image4.jpg

    In this case, before you multiply, you can cancel out factors of 11 in the numerator and denominator:

    image5.jpg
  3. Convert the answer to a mixed number.

    image6.jpg
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In Fractions, One Is the Easiest Number
How to Divide Fractions
How to Subtract Fractions with Different Denominators
How to Subtract Fractions with Common Denominators
How to Convert between Mixed Numbers and Improper Fractions
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