1.4.2

Mixed & Improper Fractions

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Mixed Numbers and Improper Fractions

Mixed numbers and improper fractions are both greater than 1.

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Improper fractions

  • An improper fraction has a numerator (top number) which is larger than the denominator (bottom number).
    • E.g. 9 is larger than 7, so 97\frac{9}{7} is an improper fraction.
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Mixed numbers

  • A mixed number contains both a whole number (an integer) and a normal fraction.
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Improper fraction to mixed number

  • What is 269\frac{26}{9} written as a mixed number?
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Improper fraction to mixed number

  • First work out how many times the denominator will go into the numerator.
    • 9 goes into 26 two times - this is the whole number part.
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Improper fraction to mixed number

  • The remainder is 26 − 18 = 8.
    • So the fraction part is 89\frac{8}{9}.
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Mixed number to improper fraction

  • What is 325\frac{2}{5} written as an improper fraction?
Illustrative background for Mixed number to improper fractionIllustrative background for Mixed number to improper fraction ?? "content

Mixed number to improper fraction

  • Multiply the whole number by the denominator.
    • Add this amount to the numerator.

Jump to other topics

1Number

1.1Place Value

1.2Factors & Multiples

1.3Operations

1.4Fractions, Decimals & Percentages

1.5Growth & Decay

1.6Measurements & Units

1.7Accuracy

2Algebra

3Ratio, Proportion & Rates of Change

4Geometry & Measures

5Probability

6Statistics

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