The identity property of multiplication and division | Maths

Starter quiz

Two fractions are ______ if they have the same value.
- 'equivalent' ✓
$Use the diagram to help you find two more fractions that are equivalent to <Math>2 \over 5</Math>.$

Use the diagram to help you find two more fractions that are equivalent to $2 \over 5$ .
- $1 \over 5$
- $4 \over 10$ ✓
- $2 \over 10$
- $6 \over 20$
- $8 \over 20$ ✓
Andeep writes: $\frac{3\times \square}{4\times \square} = \frac{9}{12}$ . What number should Andeep write in each box? ______
- '3' ✓
Select all the fractions that are equivalent to $1 \over 3$ .
- $2 \over 6$ ✓
- $3 \over 5$
- $4 \over 6$
- $3 \over 9$ ✓
- $4 \over 9$
Select all the fractions that are equivalent to $4 \over 9$ .
- $6 \over 11$
- $8 \over 18$ ✓
- $2 \over 7$
- $16 \over 45$
- $20 \over 45$ ✓
Match each fraction to an equivalent fraction.
- $1 \over 5$
  
  ⇔
  
  $3 \over 15$ ✓
- $2 \over 7$
  
  ⇔
  
  $6 \over 21$ ✓
- $4 \over 11$
  
  ⇔
  
  $20 \over 55$ ✓
- $3 \over 8$
  
  ⇔
  
  $12 \over 32$ ✓
- $5 \over 6$
  
  ⇔
  
  $20 \over 24$ ✓

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Anything multiplied by one is itself.
Anything divided by one is itself.
One can be written in infinitely many ways using fractions because anything divided by itself is one.
When a fraction is multiplied by 1 it remains the same but may look different.
When a fraction is divided by 1 it remains the same but may look different.

As the denominator is larger the value of the fraction is larger.

An analogy of sharing pizza helps students understand. Would pupils get a bigger slice of pizza if it was shared between more people?