Multiplying and Dividing Fractions

Multiplying & Dividing Fractions

by Cheri Medendorp

​Cross cancel before you multiply.

​If you can divide numbers diagonal from each other by their GCF, you can reduce your numbers to keep them smaller and hopefully not have to simplify your final answer.

Multiple Choice

Simplify if necessary

$$\frac{1}{8}\times\frac{3}{5}$$  

• $$\frac{3}{40}$$  

• $$\frac{4}{40}$$  

• $$\frac{3}{5}$$  

• $$\frac{5}{24}$$  

Multiple Choice

Simplify if necessary

$$\frac{7}{10}\times\frac{3}{4}$$  

• $$\frac{11}{14}$$  

• $$\frac{12}{21}$$  

• $$\frac{21}{40}$$  

• $$\frac{28}{30}$$  

Multiple Choice

Simplify if necessary

$$\frac{1}{12}\times\frac{4}{7}$$  

• $$\frac{1}{21}$$  

• $$\frac{4}{84}$$  

• $$\frac{1}{10}$$  

• $$\frac{1}{28}$$  

Multiple Choice

Simplify if necessary

$$\frac{2}{10}\ \times\frac{2}{9}$$  

• $$\frac{3}{14}$$  

• $$\frac{2}{5}$$  

• $$\frac{2}{45}$$  

• $$\frac{3}{45}$$  

Multiple Choice

Simplify if necessary

$$\frac{2}{9}\ \times5$$  

• $$\frac{2}{45}$$  

• $$1\frac{1}{4}$$  

• $$\frac{10}{45}$$  

• $$1\ \frac{1}{9}$$  

Multiple Choice

Simplify if necessary 

$$14\ \times\frac{4}{7}$$  

• 4

• 8

• $$2\ \frac{3}{8}$$  

• $$1\frac{2}{5}$$  

Multiple Choice

Simplify if necessary

$$\frac{4}{3}\ \times15$$  

• 6

• $$\frac{4}{45}$$  

• 20

• $$\frac{1}{20}$$  

Multiple Choice

• 1/5
• 12/72
• 7/17
• 1/6

Multiple Choice

• 1/21
• 4/84
• 1/10
• 1/28

Multiple Choice

• 2/24
• 3/16
• 5/7
• 1/12

Multiple Choice

• 10/18
• 1/9
• 1/6
• 4/24

​Dividing Fractions

​Reminder - keep, change flip

Multiple Choice

Change this mixed number to an improper fraction

$$3\ \frac{5}{7}$$  

• $$\frac{26}{7}$$  

• $$\frac{15}{7}$$  

• $$\frac{21}{7}$$  

Multiple Choice

Keep, Change, Flip

$$\frac{3}{7}\div\frac{8}{21}$$  

• $$\frac{3}{7}\times\frac{21}{8}$$  

• $$\frac{7}{3}\times\frac{8}{21}$$  

• $$\frac{3}{7}\div\frac{21}{8}$$  

Multiple Choice

Follow all steps and divide:

$$\frac{8}{21}\div\frac{6}{7}$$  

• $$\frac{48}{147}$$  

• $$\frac{56}{126}$$  

• $$\frac{4}{9}$$  

Multiple Choice

Follow all steps to divide:

$$\frac{3}{5}\div\frac{21}{25}$$  

• $$\frac{5}{7}$$  

• $$\frac{7}{5}$$  

• $$\frac{75}{105}$$