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Introduction

QUICK LINKS


Introduction

Multiplying Fractions

To help us better understand what happens when we multiply fractions, we like to imagine them as pizzas or legos.

Pick whichever you vibe with more:

INTRO
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When we’re given a pair of fractions to multiply, like , the second fraction tells us how many parts we need to split the first fraction into, and how many of those parts we get to keep.
means that we need to take , split it into equal parts, and keep of those parts:
Visualizing the multiplication helps us understand why a fraction’s size changes when it’s multiplied by another number. But, if we had to draw this out every time we multiply a fraction, we’d probably lose our minds 🀯.
Luckily, there’s a quick and simple process we can use to multiply any set of fractions! πŸ™ŒπŸΏπŸ™ŒπŸ»πŸ™ŒπŸΌ
All we need to do is multiply across the top and multiply across the bottom.
Check out our
Calculator
or explore our
Lesson
and
Practice
sections to learn more about multiplying fractions and test your understanding.

You can also use the Quick Links menu on the left to jump to a section of your choice.

You can also use the Quick Links dropdown above to jump to a section of your choice.

CALCULATOR
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Multiplying Fractions Calculator



Step 1. Make sure both numbers are fractions.

Both of our numbers are already fractions, so we can skip to Step 2.

Step 2. Multiply across the top.

Step 3. Multiply across the bottom.

Step 4. Simplify (if needed).

The final answer is .
KEY STEPS
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How to Multiply Fractions

Step 1. Make sure both numbers are fractions.

If multiplying a fraction by a whole number, convert the whole number to a fraction by placing it over . Otherwise, move onto Step 2.

Step 2. Multiply across the top.

Step 2. Multiply across the bottom.

Step 4. Simplify (if needed).

LESSON
β€” Multiplying Fractions

Multiplying Fractions

To multiply fractions, all we need to do is multiply across top and multiply across the bottom.To understand what it means to multiply two fractions, we can start by imagining the first fraction as a pizza or lego.
The bottom of the second fraction tells us how many parts we need to split the first fraction into, and the top of the second fraction tells us how many of those parts we get to keep.
So if we multiply a fraction by another fraction that is the fraction's size increases.
Now that we know what happens when we multiply fractions, let’s check out some examples of how to multiply fractions using our simple steps!

EXAMPLE 1

Let's start by finding the answer to:

Step 1. Make sure both numbers are fractions.

Both of our numbers are already fractions, so we can skip to Step 2.

Step 2. Multiply across the top.

Step 3. Multiply across the bottom.

Step 4. Simplify (if needed).

The final answer is .

EXAMPLE 2

Nice work! Now, let's find the answer to:

Step 1. Make sure both numbers are fractions.

Our second number is not a fraction, but we can make it one by putting it over .

Step 2. Multiply across the top.

Step 3. Multiply across the bottom.

Step 4. Simplify (if needed).

The final answer is .

EXAMPLE 3

Amazing job! Last one - let's find the answer to:

Step 1. Make sure both numbers are fractions.

Both of our numbers are already fractions, so we can skip to Step 2.

Step 2. Multiply across the top.

Step 3. Multiply across the bottom.

Step 4. Simplify (if needed).

The final answer is .
Awesome! If you’d like to practice additional problems multiplying fractions, expand the
Practice
below before closing out this lesson! ⚑
PRACTICE
β€” Multiplying Fractions

Practice: Multiplying Fractions

Question 1 of 10:

Step 1. Make sure both numbers are fractions.

Since both numbers are already fractions, we can just move on to Step 2.
Turn the whole number into a fraction:


Step 2. Multiply across the top.




Step 3. Multiply across the bottom.



Step 4. Simplify (if needed).

Looks like the result is already written in simplest form, so we're all set!
Great work! Our answer is .

CONCLUSION
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Incredible job, look at you go! Thanks for checking out this lesson β˜ΊοΈπŸ™. Where to next?
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