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Write 0.16 as a fraction in its simplest form - OCR - GCSE Maths - Question 4 - 2020 - Paper 1

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Question 4

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Write 0.16 as a fraction in its simplest form. (a) (b) Write 7/20 as a decimal.

Worked Solution & Example Answer:Write 0.16 as a fraction in its simplest form - OCR - GCSE Maths - Question 4 - 2020 - Paper 1

Step 1

Write 0.16 as a fraction in its simplest form.

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Answer

To convert 0.16 into a fraction, consider that it represents 16 hundredths. Thus:

0.16=161000.16 = \frac{16}{100}

Next, simplify the fraction by finding the greatest common divisor (GCD) of 16 and 100, which is 4:

16÷4100÷4=425\frac{16 \div 4}{100 \div 4} = \frac{4}{25}

So, the simplest form of 0.16 as a fraction is ( \frac{4}{25} ).

Step 2

Write 7/20 as a decimal.

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Answer

To convert the fraction ( \frac{7}{20} ) into a decimal, divide the numerator by the denominator:

7÷20=0.357 \div 20 = 0.35

Therefore, ( \frac{7}{20} ) as a decimal is 0.35.

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