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Numeracy Topics / Fractions, Percentages and Ratios

Core topics

Fractions, percentages and ratios for LANTITE Numeracy

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

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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.