Word problems on division of fractions and decimals

Example 1

Sima bought 24 litres of milk and filled it in bottles of $3/4$ litres each. How many bottles did he use?

Solution

The milk bought was 24 litres.

Each bottle was filled with $3/4$ litres of milk.

Divide 24 litres by $3/4$ to obtain the number of bottles filled with milk:

$24 \div \frac{3}{4} = \frac{24}{1} \times \frac{4}{3} = 32$

Therefore, Sima used 32 bottles.

Example 2

A father ate $1/6$ of a loaf of bread and divided equally the remaining fraction to his 5 children. What fraction of the bread did each child get?

Steps

The remaining fraction of the bread was $1 - \frac{1}{6} = \frac{5}{6}$.

Number of children is 5.

Divide $\frac{5}{6}$ by 5 to get the fraction of bread each child got:

$\frac{5}{6} \div 5 = \frac{5}{6} \times \frac{1}{5} = \frac{5}{30} = \frac{1}{6}$

Therefore, each child got $\frac{1}{6}$ of the bread.