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Writing a Ratio as a Fraction or Linear Function

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Horizontal ratio bar for Mia and Noah sharing £45 in the ratio 4:5, split into 9 equal parts with 4 parts for Mia and 5 for Noah

A ratio compares quantities by counting equal parts. In a ratio like 4:54:54:5, the first quantity has 444 parts and the second has 555 parts, so there are 999 parts altogether.

To turn one part of a ratio into a fraction of the whole, put that part over the total number of parts. So the fractions are 49\frac{4}{9}94​ and 59\frac{5}{9}95​.

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Question 1

2 marks

In a bag there are blue sweets and red sweets. The ratio of blue sweets to red sweets is 5:3

What fraction of the sweets are blue?

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If Sam and Tia share money in the ratio 3:2, what fraction of the total does Tia receive?

Writing a Ratio as a Fraction or Linear Function Revision Guide

  1. GCSE
  2. /Maths
  3. /Writing a Ratio as a Fraction or Linear Function

Revision notes for Edexcel GCSE Maths Writing a Ratio as a Fraction or Linear Function. Open the guide for explanations and worked examples. Written against the Edexcel GCSE Maths (1MA1) specification, so the content matches what's examinable rather than general Maths background.

Revision guides

Writing a Ratio as a Fraction or Linear FunctionDirect and Inverse ProportionReverse PercentagesStandard FormSpeed and DensityChanging the Subject of a FormulaExpanding and Factorising QuadraticsSolving QuadraticsDrawing Quadratic GraphsDrawing Other Graphs: Cubic/ReciprocalSimultaneous EquationsSolving Simultaneous Equations GraphicallyMidpoint of a Line SegmentGradient of a LineEquation of a LineSpheres and ConesSector Areas and Arc LengthsSimilar Shapes (Lengths)SOHCAHTOA (Trigonometry)Exact trig valuesVectorsProbability TreesVenn Diagrams

Practise questions

1 of 5

Paint is mixed in the ratio red:blue =7:3=7:3=7:3. What fraction of the mixture is blue paint?