1.2.5

Mixed Fractions

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Mixed Numbers

A mixed number is a number such as 312 which has an integer part and a fraction part.

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Converting to improper fraction

  • 312 = 3 + 12 and can be written as an improper fraction where the top number is greater than the bottom number:
    • 312 = 3×22 + 12 = 72
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Calculations with mixed numbers

  • To multiply or divide by a mixed number or to add or subtract a mixed number, first convert it to an improper fraction then use the normal rules for fractions.
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Negative improper fractions

  • Note that -512 = -5 - 12
    • The minus sign applies to both parts of the number.

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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