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AQA GCSE · Question 07.2 · Statistics
What fraction of the children turn left? Give your answer in its simplest form.
What fraction of the children turn left? Give your answer in its simplest form.
How to approach this question
1. Find the number of children who turn left from the frequency tree. This is 45.
2. Find the total number of children. This is 80.
3. Write this as a fraction: 45/80.
4. Simplify the fraction. Both 45 and 80 are divisible by 5.
45 ÷ 5 = 9
80 ÷ 5 = 16
5. The simplified fraction is 9/16.
Full Answer
9/16
To find the fraction, we need two pieces of information from our frequency tree:
1. The number of children who turned left. This is 45.
2. The total number of children. This is 80.
The fraction is therefore 45/80.
The question asks for the answer in its simplest form. We need to find the greatest common divisor (GCD) of 45 and 80 to simplify it.
Both numbers end in a 5 or 0, so they are divisible by 5.
45 ÷ 5 = 9
80 ÷ 5 = 16
The fraction simplifies to 9/16.
9 and 16 do not share any common factors other than 1, so this is the simplest form.
Common mistakes
✗ Using the total number of people (120) as the denominator instead of the total number of children (80).\n✗ Not simplifying the fraction 45/80.
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