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In a quiz, Darcy answered 16 of the 20 questions correctly - OCR - GCSE Maths - Question 6 - 2021 - Paper 1

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In a quiz, Darcy answered 16 of the 20 questions correctly. (a) What fraction of the questions did Darcy answer correctly? Give your fraction in its lowest terms. ... show full transcript

Worked Solution & Example Answer:In a quiz, Darcy answered 16 of the 20 questions correctly - OCR - GCSE Maths - Question 6 - 2021 - Paper 1

Step 1

What fraction of the questions did Darcy answer correctly?

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Answer

To find the fraction of questions that Darcy answered correctly, we can use the formula:

ext{Fraction} = rac{ ext{Correct Answers}}{ ext{Total Questions}} = rac{16}{20}

Next, we simplify the fraction to its lowest terms. The greatest common divisor (GCD) of 16 and 20 is 4.

Dividing both the numerator and the denominator by 4, we get:

rac{16 ext{ (divided by 4)}}{20 ext{ (divided by 4)}} = rac{4}{5}

Thus, the fraction of questions Darcy answered correctly is ( \frac{4}{5} ).

Step 2

Write the fraction as a decimal.

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Answer

To convert the fraction ( \frac{4}{5} ) into a decimal, we divide the numerator by the denominator:

4÷5=0.84 \div 5 = 0.8

Therefore, the decimal representation of the fraction is 0.8.

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