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Level 3-4 Numbers - Fractions - Simplification
33 is the biggest number you can divide into both the numerator and denominator of 33/66.

Level 3-4 Numbers - Fractions - Simplification

Let's chat about fractions - they're a big deal in KS3 Maths! Fractions have different ways of being written. For example, ten twentieths can be 10⁄20, but guess what? It's the same as 2⁄4 or 1⁄2. Changing fractions into simpler forms is called simplification.

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1.
What is the biggest number you can divide into both the numerator and denominator of 71/92?
1/9
7/9
7/2
It's not possible
There is no common factor!
2.
What is 30/40 as a fraction in its simplest form?
1/2
3/4
30/40
300/400
The highest common factor of 30 and 40 is 10
3.
What is the simplest way of writing 1/2?
1/4
1/3
1/2
1/5
1/2 is in its simplest form already!
4.
What is the biggest number you can divide into both the numerator and denominator of 30/40?
3
4
10
There isn't one
Dividing 30 (the numerator) and 40 (the denominator) by 10 gives us 3/4
5.
How would you write 12/18 in its simplest form?
1/3
2/3
3/4
5/10
Divide 12 and 18 by 6 to find the answer
6.
How would you write 10/100 in its simplest form?
1/10
1/100
100/10
10/1
The common factor is 10
7.
What is the biggest number you can divide into both the numerator and denominator of 33/66?
3
6
11
33
Although both numbers are divisible by 11, it isn't the HIGHEST common factor
8.
How would you write 9/81 in its lowest terms?
1/9
9/1
9/8
It's not possible
Both numbers are divisible by 9
9.
How would you write 33/66 in its simplest form?
33/66
3/6
1/2
3/4
'Simplest form' is also known as 'lowest terms'
10.
What is the biggest number you can divide into both the numerator and denominator of 12/18?
3
6
9
12
12 and 18 share a few factors - 1, 2, 3, 6 - but 6 is the highest
You can find more about this topic by visiting BBC Bitesize - How to simplify fractions

Author:  Frank Evans

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