Multiply Fractions and Mixed Numbers Lesson

Warm Up: Turn this improper fraction into a mixed number

 $\frac{28}{5}$  

Multiplying Fractions and Mixed Numbers

1. Make sure you have basic fractions

This makes things easier for you!

If you have a whole number, you must put a 1 under it.

 $2\ becomes\ \frac{2}{1}$  

Open Ended

How do I turn 5 into a fraction?

If you have a mixed number, turn it into an improper fraction

 $2\ \frac{1}{3}\ becomes\ \frac{7}{2}$  

Reminder on Converting Mixed Numbers

• Multiply the denominator and whole number

• Add that product to the numerator

• Denominator stays the same

Open Ended

$$3\ \frac{1}{4}$$  What is this as an improper fraction?

We want fractions that we can multiply straight across with!

It makes life easier!!

Remember that you multiply fractions straight across

Numerator x Numerator

Denominator x Denominator

Open Ended

$$\frac{2}{3}\degree\ \frac{1}{4}$$  Multiply

Now let's put it all together

 $2\ \degree\ 1\ \frac{1}{3}$  

Our answer is an improper fraction

 $\frac{8}{3}$  

When we are done with our problem, we cannot leave our answer like that

We MUST turn our answer back into a mixed number

Open Ended

$$\frac{8}{3}$$  Turn this into a mixed number

So the answer to our original problem is...

 $2\ \degree\ 1\ \frac{1}{3}=\ 2\ \frac{2}{3}$  

Problems like these take a lot of steps, but you know how to do each step

Let's practice another one together!

Open Ended

$$\frac{1}{4}\ x\ 3\ \frac{1}{2}$$  

Try this one on your own

You only need to change parts of your multiplication problem IF it is NOT a type of fraction that you can multiply straight across

Only change your final answer if it is an improper fraction!

You can also have a mixed number times a mixed number

Remember, turn them into improper fractions so you can multiply straight across!

Multiple Choice

$$1\ \frac{1}{5}\ \times\ 1\ \frac{2}{3}$$  

• 3

• 4

• $$1\ \frac{1}{2}$$  

• 2

Multiple Choice

$$4\ \ x\ \ 1\ \frac{1}{2}\ =$$  
Solve.  Be sure to simplify! 

• $$\frac{12}{2}$$  

• 6

• $$4\ \frac{1}{2}$$  

Multiple Choice

$$2\frac{1}{3}\ \times\ 1\frac{3}{5}$$  

• $$3\ \frac{1}{5}$$  

• $$3\ \frac{3}{20}$$  

• $$3\ \frac{4}{15}$$  

• $$3\ \frac{11}{15}$$  

Multiple Choice

$2\ \times\ \frac{3}{4}$

• 1

• $$1\ \frac{1}{2}$$

• $$2\ \frac{1}{2}$$

• 3

Multiple Choice

$$1\frac{2}{5}\ \times\ 2\frac{1}{4}$$  

• $$3\ \frac{1}{5}$$  

• $$3\ \frac{3}{20}$$  

• $$3\ \frac{4}{15}$$  

• $$3\ \frac{11}{15}$$