Multiplying and Dividing Fractions/Mixed Numbers

Multiplying and Dividing Fractions/Mixed Numbers

Multiplying Fractions/Mixed Numbers

When multiplying fractions:

>Change any mixed numbers to improper fractions.

>Multiply the numerators of the fractions.

>Multiply the denominators of fractions. If the

product is an improper fraction, change it to a

mixed number to get the final answer.

Multiple Choice

Which of these is the first step when multiplying or dividing mixed numbers?

• Find a common denominator

• Leave, Change, Flip

• Multiply the numerators together

• Convert to improper fractions

Multiple Choice

 $\frac{4}{5}\ \times\ \frac{7}{9}$  

•  $\frac{11}{14}$  

•  $\frac{21}{45}$  

•  $\frac{36}{35}$  

•  $\frac{28}{45}$  

Multiple Choice

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

•  $3\frac{2}{15}$  

•  $3\frac{3}{15}$  

•  $3\frac{4}{15}$  

•  $3\frac{5}{15}$  

Multiple Choice

A batch of oatmeal muffins calls for $\frac{2}{3}$ cups of oats. How many cups of oats do you need to make four batches of muffins?

•  $2$  cups
  

•  $\frac{2}{12}\$ cup
  

•  $4\frac{2}{3}$ cups

•  $2\frac{2}{3}$ cups

Dividing Fractions/Mixed Numbers

• Change any mixed numbers or whole numbers to improper fractions.

• Multiply the first fraction by the reciprocal of the second fraction.  Leave (Keep), Change, Flip

• If your answer is an improper fraction, change it to a mixed number.

Multiple Choice

 $\frac{3}{4}\ \div\ \frac{7}{8}$ 

•  $\frac{21}{32}$  

•  $\frac{24}{28}$ 

•  $1\frac{11}{21}$  

•  $1\frac{4}{24}$  

Multiple Choice

 $2\ \div\ \frac{1}{3}$  

•  $\frac{2}{3}$  
  

• 6

•  $1\frac{1}{2}$ 

•  $\frac{1}{6}$  
  

Multiple Choice

 $4\frac{3}{4}\ \div\ 1\frac{1}{2}$  

•  $4\frac{3}{8}$  
  

•  $\frac{8}{57}$  

•  $1\frac{6}{16}$  

•  $3\frac{2}{12}$  

Multiple Choice

Kelly has  $2\frac{1}{2}$  feet of fabric.   She needs  $\frac{1}{4}$ foot to make each ribbon.  How many ribbons can Kelly make?

• 5

•  $\frac{5}{8}$  

• 10

• 12