# 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

• 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.

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).

To unlock this lesson you must be a Study.com Member.

### Register to view this lesson

Are you a student or a teacher?

#### See for yourself why 30 million people use Study.com

##### Become a Study.com member and start learning now.
Back
What teachers are saying about Study.com

### Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.