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2 (a) Write 6:14 as a ratio in its simplest form - OCR - GCSE Maths - Question 2 - 2019 - Paper 1

Question 2

2 (a) Write 6:14 as a ratio in its simplest form. (b) The ratio 20:50 can be written in the form 1:n. Find the value of n.

Worked Solution & Example Answer:2 (a) Write 6:14 as a ratio in its simplest form - OCR - GCSE Maths - Question 2 - 2019 - Paper 1

Step 1

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Answer

To simplify the ratio 6:14, we need to find the greatest common divisor (GCD) of 6 and 14. The GCD is 2. Therefore, we can divide both terms by 2:

\frac{6}{2} : \frac{14}{2} = 3 : 7

Thus, the simplest form of the ratio 6:14 is 3:7.

Step 2

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Answer

We start with the ratio 20:50 and want to express it in the form 1:n. We can simplify the ratio by dividing both numbers by 20:

\frac{20}{20} : \frac{50}{20} = 1 : 2.5

Thus, in this case, n equals 2.5.

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