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3 (a) Write \( \frac{3}{8} \) as a decimal - OCR - GCSE Maths - Question 3 - 2018 - Paper 1

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3 (a) Write \( \frac{3}{8} \) as a decimal. (b) Write 42% as a fraction. Give your answer in its simplest form.

Worked Solution & Example Answer:3 (a) Write \( \frac{3}{8} \) as a decimal - OCR - GCSE Maths - Question 3 - 2018 - Paper 1

Step 1

(a) Write \( \frac{3}{8} \) as a decimal.

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Answer

To convert ( \frac{3}{8} ) into a decimal, divide the numerator by the denominator:

[ 3 \div 8 = 0.375 ]

Step 2

(b) Write 42% as a fraction.

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Answer

To write 42% as a fraction, express it as ( \frac{42}{100} ). Next, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:

[ \frac{42 \div 2}{100 \div 2} = \frac{21}{50} ] Thus, the simplest form of 42% as a fraction is ( \frac{21}{50} ).

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