Explain how to multiply two unit fractions | Maths | Quizalize & Oak National Academy

Starter quiz

35 is a common multiple of:
- 1 and 2
- 2 and 3
- 4 and 5
- 5 and 6
- 5 and 7 ✓
Tick the factors of 24 in this list.
- 2 ✓
- 3 ✓
- 4 ✓
- 5
- 6 ✓
$What fraction of the whole has been shaded?$

What fraction of the whole has been shaded?
- ${1} \over {5}$ ✓
- ${1} \over {6}$
- ${4} \over {5}$
- ${4} \over {1}$
Tick the equations that exemplify the commutative law.
- 4 × 6 = 24 ✓
- 4 × 3 × 2 = 24
- 6 × 4 = 24 ✓
- 24 ÷ 4 = 6
Tick the smallest fraction.
- ${3} \over {5}$
- ${1} \over {5}$
- ${7} \over {8}$
- ${1} \over {7}$ ✓
$The large rectangle is the whole. What fraction of the whole has been shaded?$

The large rectangle is the whole. What fraction of the whole has been shaded?
- ${1} \over {5}$
- ${1} \over {7}$
- ${1} \over {4}$
- ${1} \over {15}$ ✓

Exit quiz

Which expressions could represent one-half of one-quarter?
- ${1} \over {2}$ × ${1} \over {4}$ ✓
- ${1} \over {2}$ + ${1} \over {4}$
- ${1} \over {4}$ × ${1} \over {2}$ ✓
- ${1} \over {4}$ + ${1} \over {2}$
Tick the equations that could represent this image.
- ${1} \over {3}$ × ${1} \over {4}$ = ${1} \over {12}$ ✓
- ${1} \over {12}$ × ${1} \over {4}$ = ${1} \over {12}$
- ${1} \over {4}$ × ${1} \over {3}$ = ${1} \over {12}$
- ${1} \over {4}$ + ${1} \over {3}$ = ${1} \over {12}$
To find the product of two unit fractions, you can _________.
- multiply the numerators
- add the numerators
- multiply the denominators ✓
- add the denominators
Tick the product of ${1} \over {5}$ × ${1} \over {2}$
- ${1} \over {20}$
- ${1} \over {10}$ ✓
- ${2} \over {7}$
- ${2} \over {10}$
Tick the product of ${1} \over {6}$ × ${1} \over {3}$
- ${1} \over {9}$
- ${2} \over {9}$
- ${2} \over {18}$
- ${1} \over {18}$ ✓
What could the missing digits be?
- 2 and 3
- 3 and 4 ✓
- 1 and 6
- 2 and 6 ✓
- 12 and 2

Worksheet

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Presentation

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Lesson Details

Key learning points

When you multiply by a unit fraction you find that fraction of the other factor.
Multiplication can be represented by the word of.
One-half multiplied by one-quarter is the same as one half of one-quarter.
Multiplying by a proper fraction will give a product smaller than the value of the other factor.

Common misconception

Pupils procedurally multiply the numerators together and then multiply the denominators together to find the product.

It's important pupils understand the magnitude of the fraction in relation to one another. Encourage pupils to draw images to represent each equation and notice that the magnitude of the product is decreasing in size each time.

Keywords

Commutative - Commutative law states that you can write the values of a calculation in a different order without changing the calculation; the result is still the same. It applies for addition and multiplication.