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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÷8=0.3753 \div 8 = 0.375

Thus, the decimal representation of ( \frac{3}{8} ) is 0.375.

Step 2

(b) Write 42% as a fraction.

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Answer

To convert 42% to a fraction, first express it as:

42100\frac{42}{100}

Next, simplify the fraction. Both the numerator and the denominator can be divided by 2:

42÷2100÷2=2150\frac{42 \div 2}{100 \div 2} = \frac{21}{50}

Therefore, 42% as a fraction in simplest form is ( \frac{21}{50} ).

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