# Multiply Fractions By Whole Numbers

Multiply Fractions By Whole Numbers – The last time I thought about multiplying fractions was probably in 5th grade. But if you want to cut a recipe in half or use fractions to calculate the price of a new sales jersey, you may have to dig through the back of your memory to figure out how. Refresh:

All fractions have upper and lower numbers separated by short horizontal lines. In a correct fraction, the smaller number, called the numerator, is always at the top and the larger number (the denominator) is at the bottom. The numerator tells you the total number of units, and the denominator tells you how many units make up the whole. So in the fraction 1/2, 1 is the numerator and 2 is the denominator. There are 2 units in total, but this fraction tells us that there is one of these parts.

## Multiply Fractions By Whole Numbers

Unlike adding or subtracting fractions, you can multiply fractions with different denominators. For example, multiplying by 3/4 x 2/5 is not a problem.

#### Fractions On A Number Line Game

The third step is to simplify or reduce fractions. Because there are better ways to study fractions.

To do this, find the largest number that can reduce the fraction by dividing both the numerator and denominator. In this case, the largest number that divides the two evenly is 2, so the reduced answer to this multiplication problem is 3/10.

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This complete guide to multiplying fractions and whole numbers includes several examples, small animated video lessons, free worksheets and answers.

Before we learn how to multiply fractions, let’s take a quick look at multiplying fractions by fractions (multiplying fractions by whole numbers will be much easier once you understand how to use the rules below!)

The Law of Fraction Multiplication: Whenever you multiply a fraction, multiply by the numerator and multiply by the denominator, you get:

The fraction (3/8) cannot be simplified (because 8 and 3 have no common factors).

Now that you are familiar with the rules for multiplying fractions by fractions, you can use these rules to multiply fractions by whole numbers.

## Multiplying Fractions By Whole Numbers Worksheet

Now, since we are multiplying fractions by fractions, we can use the rule to solve for…

Wait! What if you could simplify the answer? Let’s handle the situation in the following example…

Since the common factor (GCF) of 45 and 10 is 5, we can simplify this by dividing both the numerator and denominator by 5…