Fractions, Decimals & Percentages — Year 7 Practice Questions
10 marks · Suggested time: 20 minutes
Practise fractions, decimals and percentages with these Year 7 questions. Try each one, then reveal the worked solution.
Questions
Write the fraction 6/8 in its simplest form.
Write 3/4 as a percentage.
Work out 1/2 + 1/3.
Work out 2/3 × 3/4. Give your answer in its simplest form.
Find 20% of 45.
Work out 5/6 − 1/2.
Answers & Worked Solutions
Question 1 Solution
Step 1: The highest common factor of 6 and 8 is 2.
Step 2: Divide top and bottom by 2: 6/8 = 3/4.
Answer: 3/4
Question 2 Solution
Step 1: 3 ÷ 4 = 0.75.
Step 2: 0.75 × 100 = 75%.
Answer: 75%
Question 3 Solution
Step 1: Use a common denominator of 6: 1/2 = 3/6 and 1/3 = 2/6.
Step 2: Add the numerators: 3/6 + 2/6 = 5/6.
Answer: 5/6
Question 4 Solution
Step 1: Multiply the numerators and the denominators: (2 × 3)/(3 × 4) = 6/12.
Step 2: Simplify 6/12 to 1/2.
Answer: 1/2
Question 5 Solution
Step 1: 20% = 0.2, or one fifth.
Step 2: 45 ÷ 5 = 9.
Answer: 9
Question 6 Solution
Step 1: Use a common denominator of 6: 1/2 = 3/6.
Step 2: 5/6 − 3/6 = 2/6, which simplifies to 1/3.
Answer: 1/3
Frequently Asked Questions
Should I always simplify my final fraction?
Yes, unless the question says otherwise. Giving a fraction in its simplest form is expected and often carries a mark.
Build strong foundations in Fractions, Decimals & Percentages
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