Practice Problems 3-5 - Dividing Fractions

The drama teacher is making bandanas for costumes. She is cutting  $\frac{1}{2}$   yard of fabric into 6 bandanas of the same size. Write an equation to find how much fabric there will be for each bandana.

•  $\frac{1}{2}\div6\ =\ \frac{1}{2}\times\frac{1}{6}$  

•  $\frac{1}{2}\div6\ =\ \frac{1}{2}\times\frac{6}{1}​$  yard

The drama teacher is making bandanas for costumes. She is cutting  $\frac{1}{2}$    yard of fabric into 6 bandanas of the same size. Write and solve an equation to find how much fabric there will be for each bandana.

• 3 yards

•  $\frac{1}{12}$  yard

A landscape designer has $\frac{4}{5}$  ton of mulch to divide equally among 8 customers. Write an equation to find how much mulch each customer will receive.  

•  $\frac{4}{5}\div8=\frac{4}{5}\times\frac{1}{8}$  
  

•  $\frac{4}{5}\ \div8=\frac{4}{5}\times\frac{8}{1}$  

A landscape designer has $\frac{4}{5}$  ton of mulch to divide equally among 8 customers. Write and solve an equation to find how much mulch each customer will receive.  

•  $\frac{1}{10}ton$  

•  $\frac{32}{5}\ or\ 6\ \frac{2}{5}ton$  

Convert into improper fractions. $2\ \frac{4}{5}\div4$ = 

•  $\frac{14}{5}\div\frac{4}{1}$  

•  $\frac{24}{5}\div\frac{4}{1}$  

 $2\ \frac{4}{5}\div4$  

•  $\frac{56}{5}=11\ \frac{1}{5}$  

•  $\frac{7}{10}$  

 $4\frac{2}{3}\div6=$  Convert into improper fractions.

•  $\frac{42}{3}\ \div\frac{6}{1}$  

•  $\frac{14}{3}\div\frac{6}{1}$  

$4\frac{2}{3}\div6=$

• $\frac{7}{9}$

• $28$

Convert into improper fractions $3\frac{3}{4}\div1\frac{2}{3}=$  

•  $\frac{33}{4}\div\frac{12}{3}$  

•  $\frac{15}{4}\div\frac{5}{3}$  

 $3\frac{3}{4}\div1\frac{2}{3}=$  

•  $\frac{9}{4}\ or\ 2\frac{1}{4}$  

•  $\frac{75}{12}\ or\ 6\frac{1}{4}$