Multiplying Fractions

Multiplying Fractions

How do you multiply fractions?

Multiplying fractions is a lot like multiplying fractions and whole numbers.

The only difference is we don't have to worry about changing a whole number to a fraction.

Follow the steps in the next slide to multiply fractions :)

Use these steps!

To multiply two fractions, follow these steps:

1. Multiply the numerators.

2. Multiply the denominators.

3. Simplify, if needed.

Let's try it!

For the problem  $\frac{1}{4}\times\frac{2}{3}$  multiply the numerators together. Then multiply the denominators together. 

Try this on your whiteboard!

After...

you multiply the numerators and denominators you should have gotten  $\frac{2}{12}$ . 

Now the last step is to simplify!

Hint: Find the GCF (greatest common factor) of the numerator and denominator. Use the GCF to divide the top and bottom of  $\frac{2}{12}$  

Have you reduced  $\frac{2}{12}$  yet?

the next slide is the answer...

Multiple Choice

 $\frac{1}{6}\times\frac{1}{9}$  = ? 

•  $\frac{2}{15}$  

•  $\frac{2}{54}$  

•  $\frac{1}{27}$  

•  $\frac{1}{54}$  

Go watch this video on youtube!

https://www.youtube.com/watch?v=x6xtezhuCZ4

Multiplying two fractions: an explanation I Fractions I Pre-Algebra I Khan Academy

Why does this work?

When you multiply  $\frac{1}{4}\times\frac{2}{3}$ , you are finding  $\frac{1}{4}$  of  $\frac{2}{3}$  

You can split  $\frac{2}{3}$  into fourths using models. Start with a model of  $\frac{2}{3}$  

Why does this work?

Split that into fourths...

Why does this work?

Now, look at one of those fourths to find  $\frac{1}{4}$  of  $\frac{2}{3}$  

Why does this work?

It's  $\frac{2}{12}$  which in simplest form is  $\frac{1}{6}$ 


So,  $\frac{1}{4}\times\frac{2}{3}$   $=\frac{1}{6}$  

IXL Practice

Skill Code: 8KV

Skill Code: UAY