Fractions Multiply and Divide

Multiplying and Dividing Fractions

When Multiplying or Dividing fractions, ALWAYS convert Mixed Numbers to Improper Fractions FIRST!

Do you remember how?

Converting Mixed numbers to Improper fractions:

• Multiply the whole number and the denominator

• Add the numerator to the answer you got

• Put your new number over the old denominator

Poll

What are the steps for converting a mixed number to an improper fraction?

• add and subtract

• multiply and divide

• Multiply then add

• Divide then subtract

Multiple Choice

What is 5 3/4 as an improper fraction?

• 19/4

• 23/4

• 20/3

• 23/5

ALWAYS SIMPLIFY YOUR ANSWER...either before you multiply by breaking down to prime factors and canceling them or at the end by dividing the numerator and denominator by a common factor.

Now you are ready to Multiply and Divide

Multiple Choice

What is the first step to solving this question:

• Multiply the whole numbers together

• Convert to improper fractions

• Ignore the whole numbers and multiply the fractions

• Change the denominators so they match

Multiple Choice

Solve this question:

• 8/11

• 15/11

• 15/28

• 20/21

If you have a whole number, what do you put under it to make it a fraction?

1

Multiple Choice

Solve this question:

• 12/15

• 12/5

• 4/15

• 12/8

Remember this rhyme to help you every time:

First is fine,

Switch the sign,

Flip the fraction,

Complete the action!

​Dividing Fractions

Fill in the Blanks

What is the word that means you flip the fraction and make the top number the bottom and the bottom number the top?

Poll

What kind of math do you really do when you are dividing fractions?

• multiplying

• dividing

• adding

• subtracting

ALWAYS SIMPLIFY YOUR ANSWER...either before you multiply by breaking down to prime factors and canceling them or at the end by dividing the numerator and denominator by a common factor.

Multiple Choice

Solve this question:

• 20/21

• 1.1/1.2

• 1/1

• 12/35

Multiple Choice

Simplify $$\frac{3}{8}\div\frac{2}{3}$$  

• $$\frac{9}{16}$$  

• $$\frac{6}{24}$$  

• $$\frac{1}{4}$$  

• $$\frac{3}{8}$$  

Multiple Choice

Simplify. Write your answer as a mixed number when necessary. $$\frac{9}{10}\div\frac{1}{4}$$  

• $$\frac{36}{10}$$  

• $$3\ \frac{6}{10}$$  

• $$\frac{9}{40}$$  

• $$3\ \frac{3}{5}$$  

Multiple Choice

• 74/9
• 9/74
• 16/9
• 72/9

Multiple Choice

Simplify to lowest terms.

• 7 3/6
• 7 1/2
• 8
• 6/46

Multiple Choice

Multiply. 

• 12 5/6
• 77/6
• 6/77
• 12 6/5

Multiple Choice

¹/₄  ÷  ²/₅

• ⁵/₈
• 2/20
• ¹/₁₀
• ³/₉

Multiple Choice

What is the recriprocal of 4/5

• 4/5
• 5/4
• 5/1
• 1/5

Multiple Choice

• 2 2/5

• 1 2/3

• 3/5

Multiple Choice

• 36/121

• 4/9

• 2 1/4

Multiple Choice

5 ÷ 1/2

• 10

• 1/10

• 5/2

• 1/5