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