Multiplying Fractions and Mixed Numbers

Multiply. Do not use a calculator.
 $\frac{1}{3}\cdot\frac{1}{9}$  

•  $\frac{2}{12}$  

•  $\frac{1}{27}$  

•  $\frac{1}{12}$  

•  $\frac{4}{9}$  

Multiply. Do not use a calculator.
 $1\frac{1}{4}\cdot\frac{4}{5}$  

•  $1$  

•  $1\frac{4}{20}$  

•  $1\frac{5}{9}$  

•  $1\frac{1}{5}$  

Multiply. Do not use a calculator.
 $\frac{3}{5}\cdot\frac{5}{6}$  

•  $\frac{8}{11}$  

•  $\frac{15}{11}$  

•  $\frac{8}{30}$  

•  $\frac{1}{2}$  

Both Jordan and Keisha wanted the job at the Parks Office, but it was Jordan who won out. Her first assignment was to measure a rectangular lot that the Parks Office hopes to turn into a playground later this year. Jordan was really excited about her first task, and she eagerly told Keisha about it. “It was cool! I measured one side and found it was a quarter of a mile long. Then I measured the other side and found it was a half a mile long. That made the total area one-eighth of a square mile,” Jordan explained.

Keisha was frustrated; she wanted that job! After Jordan left, Keisha complained to whoever would listen: “The joke’s on Jordan! She had her first assignment and she must have done something wrong,” she began. “How in the world can one side be one-fourth, another side be one-half, and the total area be even smaller: one eighth! Her first assignment and Jordan blew it!” Keisha finished.

Is Jordan wrong? Or, is Keisha wrong?

• Jordan

• Keisha

Half of the students in Mr. Lupin’s class wear Nikes, and 3/8 of them wear black Nikes. What fraction of the class has black Nikes?

•  $\frac{4}{10}$  

•  $\frac{1}{4}$  

•  $\frac{3}{16}$  

•  $\frac{2}{5}$  

Multiply. Do not use a calculator.
 $5\frac{1}{2}\cdot2\frac{1}{6}$  

•  $10\frac{1}{4}$  

•  $11\ \frac{11}{16}$  

•  $7\frac{1}{4}$  

•  $10\frac{1}{12}$  

What multiplication sentence is shown here?

• $\frac{1}{3}\cdot\frac{2}{3}=\frac{2}{9}$

• $\frac{2}{8}\cdot\frac{4}{6}=\frac{8}{48}=\frac{1}{6}$

• $\frac{1}{2}\cdot\frac{1}{2}\cdot9=2\frac{1}{4}$

• $\frac{3}{4}\cdot\frac{3}{5}=\frac{9}{20}$

Multiply. Do not use a calculator.
 $2\frac{2}{3}\cdot4\frac{3}{5}$  

•  $8\frac{6}{15}$  

•  $6\frac{5}{8}$  

•  $12\frac{4}{15}$  

•  $12\frac{1}{3}$  

Multiply. Do not use a calculator.
 $\frac{4}{7}\cdot2\frac{1}{2}$  

•  $1\frac{3}{7}$  

•  $2\frac{2}{7}$  

•  $2\frac{4}{14}$  

•  $2\frac{5}{9}$  

Multiply. Do not use a calculator.
 $3\frac{1}{3}\cdot2\frac{3}{4}$  

•  $6\frac{3}{12}$  

•  $6\frac{1}{4}$  

•  $9\frac{1}{6}$  

•  $5\frac{4}{7}$