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LANTITE Numeracy / Fractions, percentages and ratios

Core topics

Fractions, percentages and ratios practice

Fractions, percentages and ratios often describe the same relationship in different ways. Practising them together helps you choose the fastest method.

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These topics appear in contexts such as class data, resources, measurement, rates, survey results and everyday comparison problems.

What to watch for

  • Identify the whole before calculating a percentage.
  • Keep ratio parts separate from totals.
  • Use equivalent fractions when they simplify the calculation.
  • Check whether the answer asks for a number, percentage, rate or ratio.

Practice examples

FractionThree fifths of 45 students completed the survey. How many students is that?45 / 5 = 9. 3 x 9 = 27.

Answer: 27 students.

PercentageA score is 72 out of 90. What percentage is this?72 / 90 = 0.8. 0.8 = 80%.

Answer: 80%.

RatioThe ratio of red to blue counters is 3:2. There are 40 counters. How many are red?3 + 2 = 5 parts. 40 / 5 = 8. Red: 3 x 8 = 24.

Answer: 24 red counters.

If you are stuck, write down the whole, the parts and the unit required in the answer before calculating.