Solve Problems by Multiplying and Dividing Mixed Number Fractions

In this activity, we will solve problems by multiplying and dividing  mixed number fractions

 

Recap

As you know, when multiplying fractions,

we multiply the numerators together and we multiply the denominators together!

 

 

When dividing fractions, we change to multiply as it is easier to handle.

We do this by using the inverse:

 

 

When the fractions are mixed numbers, we have to convert them to improper fractions before we can multiply or divide.

 

 

Example

 

Step 1

Convert any mixed number fractions to improper fractions.

Rewrite the question with improper fractions.

 

Step 2

Multiply the numerators together and the denominators together:

 

Step 3

Change back to a mixed number fraction if improper:

25 ÷ 12 = 2 with a remainder of 1

Answer is:

 

It might not be an improper answer, so it could be simplified instead.

 

Division is done the same way but remember to do the inverse too!

 

Let's have a go at some questions now.