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.
- Add ‘1’ as the denominator of the whole number
- Multiply the numerators. This will be the numerator of the product.
- Multiply the denominators. This will be the denominator of the product
- Combine your answers above and simplify if needed.
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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