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Express 0.418 as a fraction - Edexcel - GCSE Maths - Question 16 - 2019 - Paper 1

Question 16

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Express 0.418 as a fraction. You must show all your working.

Worked Solution & Example Answer:Express 0.418 as a fraction - Edexcel - GCSE Maths - Question 16 - 2019 - Paper 1

Step 1

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Answer

Let ( x = 0.418 ). To eliminate the decimal, multiply both sides by 1000:

1000x = 418

Step 2

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Answer

Now, express the equation in fraction form:

x = \frac{418}{1000}

Step 3

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Answer

To simplify ( \frac{418}{1000} ), find the greatest common divisor (GCD):\nThe GCD of 418 and 1000 is 2, so:

\frac{418 \div 2}{1000 \div 2} = \frac{209}{500}

Therefore, ( 0.418 = \frac{209}{500} ) as a simplified fraction.

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