Dividing a whole number by a fraction | Maths | Quizalize & Oak National Academy

Starter quiz

How many halves are in 3 wholes? (You can use a bar model if it helps.)
- 3
- 6 ✓
- 1.5
- 0
How many quarters are in 5?
- 4
- 5
- 10
- 20 ✓
- 25
$The bar model shows that there are ______ lots of a <Math>{1} \over {3}</Math> in 4.$

The bar model shows that there are ______ lots of a ${1} \over {3}$ in 4.
- '12' ✓
$The bar model shows that there are ______ lots of a <Math>{1} \over {5}</Math> in 3.$

The bar model shows that there are ______ lots of a ${1} \over {5}$ in 3.
- '15' ✓
The Oak teacher gave 4 pupils a question, "How many tenths are there in 5?" Select the correct answer and explanation.
- Laura says "There are 500 tenths because $5\times 100$ = 500"
- Andeep says "There are 50 tenths because $5\times 10$ = 50" ✓
- Jun says "There are 50 tenths because each 10 wholes has five fifths."
- Alex says "There are 2 tenths because $10\div5$ = 2"
Sort the following from largest to smallest.
- 1
  
  ⇔
  
  $10\div \frac{1}{3}$
- 2
  
  ⇔
  
  $2\div \frac{1}{9}$
- 3
  
  ⇔
  
  $1\div \frac{1}{11}$
- 4
  
  ⇔
  
  $1\div \frac{1}{3}$
- 5
  
  ⇔
  
  $1\div \frac{1}{2}$

$Using the bar model, work out <Math> 4\div \frac{2}{3} = </Math> ______.$

Using the bar model, work out $4\div \frac{2}{3} =$ ______.
- '6' ✓
$Using the bar model, work out <Math> 3\div \frac{3}{4} = </Math> ______.$

Using the bar model, work out $3\div \frac{3}{4} =$ ______.
- '4' ✓
What does this bar model represent?
- $4 \div \frac{2}{3}$
- $4 \div \frac{2}{7}$
- $4 \div \frac{2}{5}$ ✓
- $4 \div \frac{5}{2}$
- $4 \div \frac{3}{5}$
Match the question on the left with the calculation on the right.
- $6\div \frac{2}{5}$
  
  ⇔
  
  $\frac{30}{5} \div \frac{2}{5}$ ✓
- $4\div \frac{2}{5}$
  
  ⇔
  
  $\frac{20}{5} \div \frac{2}{5}$ ✓
- $10\div \frac{2}{5}$
  
  ⇔
  
  $\frac{50}{5} \div \frac{2}{5}$ ✓
- $5\div \frac{2}{5}$
  
  ⇔
  
  $\frac{25}{5} \div \frac{2}{5}$ ✓
What does this bar model represent?
- $4 \div \frac{2}{3}$
- $4 \div \frac{3}{2}$
- $4 \div \frac{3}{5}$ ✓
- $6 \div \frac{3}{5}$
By drawing your own bar models or otherwise, match the calculations on the left with the answers on the right.
- $4 \div \frac{3}{5}$
  
  ⇔
  
  $6 {{2} \over {3}}$ ✓
- $5 \div \frac{2}{3}$
  
  ⇔
  
  $7{{1} \over {2}}$ ✓
- $2 \div \frac{3}{5}$
  
  ⇔
  
  $3 {{1} \over {3}}$ ✓
- $1 \div \frac{2}{3}$
  
  ⇔
  
  $1 {{1} \over {2}}$ ✓

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A diagram can help to show the underlying structure.
The whole number can be split into a number of equal parts equal to the denominator.
The numerator states how many equal parts are wanted.
The value of each part is multiplied by the numerator.

Using the unitising method with a remainder, the remainder is not written as a fraction of the unit.

Drawing bar models, ensure that the unit is subdivided so the remainder can be seen as a fraction of the unit.

Proper fraction - A proper fraction is a fraction where the numerator is less than the denominator