# Multiplying Fractions Is As Easy As One, Two…

**easiest**of the four basic operations. Why? You do not have to worry about a common denominator.

**Here’s the Rule for Multiplying Fractions..**.

**Multiply numerators.****Multiply denominators.****Simplify or reduce the results, if needed.**

We can illustrate the multiplication problem below by picturing each fraction as **part of a whole or unit**. With that idea in mind, we can show the fractions **4/5** and **2/3** as…

### 4/5 X 2/3 = (4 X 2)/(5 X 3) = 8/15

Like in our example above, we wanted to find **2/3 of 4/5**. The **“of”** in this expression indicates that we are taking **a part of something**. That’s what multiplying fractions is really all about.

When we combine the two diagrams as shown below, the part of the whole that represents multiplying **2/3 x 4/5** is shown in the **double-shaded area**.

**2/3 x 4/5 = 8/15**

*Notice how the rule is “suggested” by the diagram.*

**By the way…**

- Did you also notice that the double shaded area is
**less than**both fractions, 2/3 and 4/5? That’s because multiplying**proper fractions**always produces a**smaller**fraction. - When we multiply a
**fraction by a fraction**, aren’t we actually taking a “**part**” of a “**part**“? - As always, don’t forget to
**reduce**or**simplify**your answer, as needed. - Present your solution in the
**form asked for**in your instructions.

## Want to practice multiplying fractions?

### Homework Helpers

Check out these great **additional resources** for multiplying fractions: Reducing Fractions and Simplifying Fractions

### Related Topics

If you’ve mastered **multiplying fractions**, why not try your hand at one of the following: Dividing Fractions, Adding Fractions or Subtracting Fractions

### Fraction Calculator

Learn how to solve fraction problems, then check your work with our online **fraction calculator**. Click here >

### Fraction Worksheets

**Free downloadable worksheets** make it to easy to practice multiplying fractions. To get even more fraction worksheets, click here >