How to Multiply a Whole Number by a Fraction

in Fraction How To's

Multiplying a whole number by a fraction is no different from multiplying two fractions. You just have to turn the whole number into a fraction by adding ‘1’ as its denominator, and then perform the steps of multiplication.

Take a look at the following examples.

  • 3 x (1/2) = (3/1) x (1/2) = 3/2
  • 13 x (3/4) = (13/1) x (3/4 = 39/4 or 9 3/4
  • 12 x (1/4) = (12/1) x (1/4) = 12/4 or 3
  • 20 x (3/8) = (20/1) x (3/8) = 60/8 or 7 ½

To summarize, you need to follow these steps when multiplying whole numbers by fractions.

  1. Add ‘1’ as the denominator of the whole number
  2. Multiply the numerators. This will be the numerator of the product.
  3. Multiply the denominators. This will be the denominator of the product
  4. Combine your answers above and simplify if needed.
Tip: Go through the lessons on multiplying fractions by clicking on the links below.

  • Click here for lesson on multiplying fractions
  • Click here to learn about multiplying mixed numbers
  • Click here to learn about multiplication of signed fractions

More Practice

Work on the items below to test your understanding on how to multiply fractions by a whole number. You can check your answers by using the multiplication calculator for fractions.

  • 4 x (1/4) =
  • 5 x (11/13) =
  • 6 x (4/3) =
  • 18 x (3/16) =
  • 11 x (4/5) =

Click on the following to learn more!

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