Fractions, decimals and percentages.
Find the solutions to the mathematical problems.

🙂 = Correct, ☹️ = Incorrect

📌 Rules

• Convert all numbers to the same form to compare or order: When ordering or comparing fractions, decimals, and percentages, convert them all into decimals or percentages first.

– For example, to compare 3/5, 0.65, and 58%: convert to decimals: 3/5 = 0.60, 0.65, and 58% = 0.58 (so 58% < 3/5 < 0.65).

• Convert between all three forms smoothly:

– Fraction to Decimal: Divide top by bottom (e.g. 3 ÷ 4 = 0.75).

– Decimal to Percentage: Multiply by 100 (e.g. 0.75 = 75%).

– Percentage to Fraction: Write over 100 and simplify (e.g. 75% = 75/100 = 3/4).

💡 Tips

• Memorise key benchmark triplets:

– 1/2 = 0.5 = 50%

– 1/4 = 0.25 = 25% | 3/4 = 0.75 = 75%

– 1/5 = 0.2 = 20% | 2/5 = 0.4 = 40% | 3/5 = 0.6 = 60% | 4/5 = 0.8 = 80%

– 1/10 = 0.1 = 10% | 1/100 = 0.01 = 1%

– 1/8 = 0.125 = 12.5% | 3/8 = 0.375 = 37.5%

• Quick typing on our platform: Typing your answer is designed to be super quick and simple! For fractions, use a forward slash like 3/4. For decimals or percentages, type plain numbers like 0.75 or 75 without adding percentage signs (%), currency symbols (£), or spaces.

⚠️ Warnings

• Always write fractions in their simplest form: If your final answer is a fraction, make sure it cannot be simplified further (e.g. write 4/5, not 80/100 or 8/10).

• Pay attention to place value when converting decimals to percentages: Multiplying by 100 shifts digits two places to the left! 0.07 is 7%, whereas 0.7 is 70%.