3.2.1

Simplifying Ratios

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Simplifying Ratios

A ratio a : b means that for each 'a' of one thing there are 'b' of another. For example if the ratio of boys to girls in a class is 3 : 4 that means that for every 3 boys there are 4 girls.

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Reducing a ratio

  • To reduce a ratio to a simpler form divide all parts by the same number.
  • It is in its simplest form if all parts are whole numbers and there are no more common factors left to divide by.
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Fractions and decimals

  • If a ratio contains decimals or fractions, multiply to get rid of them before simplifying the ratio.
  • If a ratio has mixed units convert both to the smaller unit and simplify.
  • Then remove the units from the ratio.

Jump to other topics

1Number

1.1Using Numbers

1.2Fractions, Decimals & Percentages

1.3Powers & Roots

1.4Accuracy

2Algebra

2.1Introduction to Algebra

2.2Manipulating Algebra

2.3Proofs & Functions

2.4Straight Line Graphs

2.5Common Graphs

2.6Transformations & Tangents

2.7Properties of Graphs

2.8Solving Equations

2.9Inequalities

2.10Sequences

3Ratio

4Geometry

4.1Introduction to Geometry

4.2Triangles & Quadrilaterals

4.3Transformations

4.4Circle Basics

4.5Circle Theorems

4.6Measurements & Units

4.7Calculating Area

4.8Triangle Formulae

4.93D Shapes

4.10Vectors

5Probability

6Statistics

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