Dividing Fractions

 $\frac{1}{3}\div3\ =\ ....$  

•  $\frac{1}{3}\div\frac{3}{1}\ =\ 1$  

•  $\frac{1}{3}\times\frac{3}{1}=1$  

•  $\frac{1}{3}\times\frac{1}{3}=\ \frac{1}{9}$  

• none is correct

 $\frac{4}{5}\div5\ =\ ....$  

•  $\frac{4}{25}$  

•  $\frac{4}{5}$  

•  $\frac{25}{4}$  

•  $\frac{4}{20}$  

 $3\div\frac{2}{3}\ =\ ....$  

•  $3\ \times\frac{2}{3}=\ 2$  

•  $3\ \div\frac{3}{2}=2$  

•  $\frac{1}{3}\times\frac{3}{2}=\frac{1}{2}$  

•  $3\ \times\frac{3}{2}=\frac{9}{2}=4\ \frac{1}{2}$  

 $3\ \div\frac{1}{3}=\ ...$  

•  $3\ \times\ \frac{3}{1}=\ \frac{3}{3}=\ 1$  

•  $3\ \times\frac{3}{1}=\ 9$  

•  $\frac{1}{3}\times3\ =\ 1$  

•  $\frac{1}{3}\times3\ =\ 3$  

 $\frac{1}{6}\div\frac{1}{2}=\ ....$  

•  $\frac{1}{6}\ \times\frac{1}{2}=\ \frac{1}{12}$  

•  $6\ \times\frac{1}{2}=\ 3$  

•  $6\ \times2\ =\ 12$  

•  $\frac{1}{6}\times\frac{2}{1}=\frac{2}{6}=\frac{1}{3}$  

 $\frac{1}{3}\div\frac{1}{6}=\ ....$  

•  $\frac{1}{3}\times6\ =\ 2$  

•  $3\ \times\frac{1}{6}=\frac{3}{6}=\ \frac{1}{2}$  

•  $\frac{1}{3}\div6\ =\ \frac{1}{18}$  

• none is correct

Study the following model. 

Vallery said the model represents  $\frac{6}{10}\div\frac{1}{5}$  

Do you agree with her?

• No, because it is  $\frac{1}{5}\div\frac{6}{10}=\frac{1}{5}\times\frac{10}{6}=\ \frac{1}{3}$  

• No, because it is  $\frac{6}{10}\div5\ =\ \frac{6}{10}\times\frac{1}{5}=\ \frac{6}{50}$  

• Yes, because there are 3 pieces of  $\frac{1}{5}$  can fit into  $\frac{6}{10}$  

• Yes, because there are 6 pieces of  $\frac{1}{5}$  can fit into  $\frac{6}{10}$  

Study the following model.

Find the best mathematical statement that represents the model.

• $3\ \div\frac{1}{5}=3\times5\ =\ 15$

• $3\ \div5\ =\ \frac{3}{5}$

• $3\ \div\frac{1}{5}=\frac{3}{5}$

• $\frac{1}{5}\div3\ =\ \frac{1}{15}$

The perimeter of a square piece of paper is 7/10 m.

The length of the side of the square piece of paper is  ... m.

•  $\frac{7}{10}\times\frac{7}{10}=\frac{49}{100}$  

•  $\frac{7}{10}\div4\ =\ \frac{7}{10\ }\times\frac{1}{4}=\frac{7}{40}$  

•  $\frac{7}{10}\times4\ =\ \frac{28}{10}=2\ \frac{4}{5}$  

• none is correct

A 5-m long lope was cut equally into shorter pieces measuring 5/8 m each.

How many shorter pieces of rope were there?

• 5 pieces

• 8 pieces

• 25 pieces

• 40 pieces