Checking and securing dividing a fraction by a whole number | Maths

Starter quiz

Dividing a cake into 4 equal parts means each part represents ______.

a third

a half

a quarter ✓

a tenth
What is the lowest common multiple of 2 and 3?

1

2

6 ✓

12

18
What is the lowest common multiple of 5 and 4?

1

4

5

20 ✓

40
What is the lowest common multiple of 4 and 12?

1

2

4

12 ✓

48
Match the simplified fraction on the left with an equivalent fraction.

${1} \over {2}$

⇔

${3} \over {6}$   ✓

${4} \over {5}$

⇔

${12} \over {15}$   ✓

${3} \over {7}$

⇔

${9} \over {21}$   ✓

${1} \over {4}$

⇔

${2} \over {8}$   ✓
What is a half of a half?

A double half

Two halves make a whole

A quarter ✓

A third

A pizza is split into 15 equal pieces. A teacher takes 1 piece and the remaining is shared equally between 2 students. What fraction of the whole pizza does each student receive?

${7} \over {15}$ ✓

${7} \over {14}$

${1} \over {2}$

${7.5} \over {15}$
A chocolate bar has 17 equal pieces. The teacher eats 7 pieces and shares the rest between 5 students. What fraction of the whole chocolate bar does each student have?

${5} \over {17}$

${2} \over {17}$ ✓

${5} \over {10}$

${1} \over {2}$
Work out $\frac{5}{11} \div5$ .

$\frac{1}{2/2}$

$\frac{1}{6}$

$5$

$\frac{1}{11}$ ✓
Work out $\frac{12}{17} \div3$ .

$\frac{4}{5.2}$

$4$

$\frac{4}{17}$ ✓

Impossible.
Match the division on the left with the answer on the right.

$\frac{18}{19} \div3$

⇔

$\frac{6}{19}$ ✓

$\frac{18}{19} \div6$

⇔

$\frac{3}{19}$ ✓

$\frac{18}{19} \div2$

⇔

$\frac{9}{19}$ ✓

$\frac{18}{19} \div18$

⇔

$\frac{1}{19}$ ✓
Match the question with the answer. Match the division on the left with the answer on the right.

$\frac{2}{9} \div3$

⇔

$\frac{2}{27}$ ✓

$\frac{3}{9} \div3$

⇔

$\frac{1}{9}$ ✓

$\frac{4}{9} \div3$

⇔

$\frac{4}{27}$ ✓

$\frac{1}{18} \div3$

⇔

$\frac{1}{54}$ ✓

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When dividing a fraction by an integer, some divide the numerator and denominator by the integer.

Embed the understanding that when dividing by an integer, only the numerator is divided as the number of equal parts remains the same.

Lowest common multiple - The lowest common multiple is the lowest number that is a multiple of two or more numbers.