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Solving 1/2 x 3

Instructor: Mia Primas

Mia has taught math and science and has a Master's Degree in Secondary Teaching.

In this lesson, you will learn three methods for multiplying a fraction by a whole number. Two of the methods use arithmetic, and the third uses a diagram. You will see each method applied to calculate 1/2 times three.

Steps for Multiplying a Fraction by a Whole Number

Step 1: Convert the whole number to a fraction by adding one as the denominator.

Step 2: Multiply the numerators of both fractions, and then multiply the denominators together.

Step 3: Simplify the solution if possible. If the numerator and denominator of the solution have a common factor, it can be simplified.

Completing the Calculation


One-half times three
half1

  • Step 1: Convert the whole number to a fraction by adding one as the denominator.


Converting a whole number to a fraction
half2

  • Step 2: Multiply the numerators of both fractions, and then multiply the denominators together.


Multiplying the fractions together
half3

  • Step 3: Simplify the solution if possible. If the numerator and denominator of the solution have a common factor, it can be simplified.

The numerator and denominator do not have a common factor, so it cannot be simplified. The answer may be left as an improper fraction (3/2) or as a mixed fraction (1 1/2).

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