Practice · Grade 6 foundations
Fraction to Percent — Practice
Practice converting fractions to percents in rising difficulty. Numerator over denominator times 100, with a hint and full working for every question.
Q1 of 7
0 correct
Convert 1/2 to a percent.
1/2 = ?%
Quick answer
How do I practise converting fractions to percents?
Convert every fraction the same way: divide the numerator by the denominator and multiply by 100, so a/b = a ÷ b · 100%. Always write the decimal as an intermediate step — it shows at a glance whether the result is sensible. Mix clean fractions (1/2, 1/4, 7/20) with trickier ones (3/8, 7/8), and remember: improper fractions like 5/4 give more than 100%.
HowTo
A 4-step solving strategy
This order works for any fraction a/b where b is not zero — proper or improper.
- 1Step 1 of 4
Read the fraction as a division
A fraction a/b is just the division a ÷ b. The top number (numerator) is divided by the bottom number (denominator). So 3/8 becomes 3 ÷ 8 — not 8 ÷ 3.
- 2Step 2 of 4
Divide to get the decimal
Work out the division. 3 ÷ 8 = 0.375. That is the fraction as a decimal. For repeating results (2/3 = 0.6666…), remember you'll round at the end.
- 3Step 3 of 4
Multiply by 100
Percent means “per hundred”: multiply the decimal by 100, and the decimal point moves two places to the right. 0.375 · 100 = 37.5%.
- 4Step 4 of 4
Check the result
Sanity check: a proper fraction (numerator < denominator) gives under 100%, an improper one (numerator > denominator) gives over 100%. 3/8 is less than a half, so under 50% — 37.5% fits.
Examples
Worked practice examples with full working
Four typical fractions from Grade 6 fraction work. Try each one yourself first, then compare with the working.
Easy
Proper fraction: 3/8 as a percent
a/b = a ÷ b · 100
3 ÷ 8 = 0.375
0.375 · 100 = 37.5%
Check: 37.5% of 8 = 3 ✓
Basic type: top divided by bottom, then times 100. 3/8 is under a half, so under 50%.
Easy
Clean denominator: 7/20 as a percent
7 ÷ 20 = 0.35
0.35 · 100 = 35%
Check: 35/100 reduced = 7/20 ✓
When the denominator divides 100 (here 20), you get a clean percentage.
Medium
Repeating: 2/3 as a percent
2 ÷ 3 = 0.6666…
0.6666… · 100 = 66.67%
Rounded to two places: 66.67% ✓
Round repeating decimals sensibly, usually to two decimal places.
Medium
Improper fraction: 5/4 as a percent
5 ÷ 4 = 1.25
1.25 · 100 = 125%
Check: 5/4 = 1 + 1/4 = 100% + 25% = 125% ✓
Numerator larger than denominator → more than 100%. That's perfectly correct.
Pitfalls
Common mistakes — and how to avoid them
These five traps come up again and again when converting fractions to percents.
Swapping numerator and denominator
3/8 is 3 ÷ 8 = 37.5%, not 8 ÷ 3 = 266.7%. The top number is divided by the bottom — top over bottom.
Forgetting the · 100
3 ÷ 8 = 0.375 is only the decimal. The multiplication by 100 turns it into 37.5%. Without that last step the answer is a hundred times too small.
Rounding badly
2/3 = 66.666…% — to two places 66.67%, not 66.6%. Look at the next digit when you round.
Thinking over 100% is impossible
Improper fractions like 5/4 give more than 100% (here 125%). “Correcting” the result makes it wrong.
Moving the decimal point the wrong way
Times 100 moves the point exactly two places right. 0.375 becomes 37.5 — not 3.75 and not 375.
Study
Practise with a plan — three short tips
15 minutes at a time, not 90 in one go
Three short practice sessions over three days stick better than one long session the night before the test. The magic phrase is “spaced repetition”.
Solve first, then look at the answer
Write down the division and the decimal step before you reveal the hint. Active recall is three to four times more effective for learning than passive reading.
Memorise the clean fractions
1/2 = 50%, 1/4 = 25%, 1/5 = 20%, 1/10 = 10%. Knowing these lets you do many questions in your head and check the rest faster.
FAQ
Frequently asked practice questions
Glossary
Terms in one line
- Fraction
- Numerator over denominator, a notation for the division a ÷ b.
- Numerator
- The top number of the fraction — the one being divided.
- Denominator
- The bottom number of the fraction — what you divide by; never 0.
- Decimal
- The result of the division, with a decimal point — the step before times 100.
- Percent (%)
- A hundredth. The decimal times 100 gives the percentage.
- Improper fraction
- Numerator ≥ denominator; gives 100% or more, e.g. 5/4 = 125%.
- Boss question
- The last and hardest question of a practice set.