Multiply & Divide Fractions

Skill Review:

Fraction Operations: multiplication and division

Multiple Choice

$$\frac{6}{27}$$  

Simplify!

• $$\frac{2}{9}$$  

• $$\frac{1}{3}$$  

• $$\frac{3}{9}$$  

• Already in simplest form. 

• $$\frac{1}{7}$$  

Fraction multiplication is our favorite fraction operation: multiply numerators, multiply denominators

simplify if needed!

Multiple Choice

Evaluate  $$\frac{2}{5}\cdot\frac{7}{11}$$  

• $$\frac{21}{55}$$  

• $$\frac{14}{55}$$  

• $$\frac{14}{50}$$  

• $$\frac{21}{50}$$  

Multiple Choice

Evaluate  $$\frac{5}{9}\cdot\frac{2}{3}$$  

• $$\frac{7}{12}$$  

• $$\frac{15}{18}$$  

• $$\frac{5}{6}$$  

• $$\frac{10}{27}$$  

• $$\frac{10}{24}$$  

Multiple Choice

Evaluate  $$\frac{2}{11}\times3$$  

remember: we can give any whole number a denominator of 1! 

• $$\frac{6}{33}$$  

• $$\frac{6}{11}$$  

• $$\frac{2}{33}$$  

• $$\frac{5}{16}$$  

• $$\frac{5}{11}$$  

Fraction division is quite nice because we can rewrite a division statement as an equivalent multiplication statement.

: rewrite as "multiply by the reciprocal!" then continue & simplify if needed. Here is an example >

Multiple Choice

$$\frac{2}{5}\div\frac{3}{4}$$  = 

rewrite! 

• $$\frac{2}{5}\times\frac{4}{3}$$  

• $$\frac{2}{5}\times\frac{3}{4}$$  

• $$\frac{5}{2}\times\frac{3}{4}$$  

Multiple Choice

$$\frac{2}{5}\div\frac{3}{4}$$  =  $$\frac{2}{5}\times\frac{4}{3}=$$  ?

• $$\frac{6}{8}$$  

• $$\frac{8}{15}$$  

• $$\frac{5}{2}\times\frac{3}{4}$$  

• $$1$$  

Fill in the Blank

$$-\frac{2}{7}\div\frac{1}{3}$$

Multiple Choice

$$\frac{2}{3}\div\frac{5}{6}$$  

• $$\frac{12}{30}$$  

• $$\frac{5}{9}$$  

• $$\frac{10}{18}$$  

• $$\frac{4}{5}$$  

• $$=\frac{15}{12}=\ \frac{5}{4}$$  

Multiple Choice

$$\frac{2}{3}\div5$$  

• $$\frac{10}{3}$$  

• $$\frac{10}{15}$$  

• $$\frac{2}{15}$$  

• $$\frac{2}{3}$$  

Multiple Choice

$$6\div\frac{3}{4}$$  

• $$\frac{18}{24}$$  

• $$\frac{24}{18}$$  

• $$\frac{1}{8}$$  

• $$8$$  

• $$\frac{3}{4}$$