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Published byTrystan Hulings Modified over 2 years ago

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(p. 1) FRACTION PROBLEMS TYPE I “Find a fractional part of a quantity” The QUESTION contains a fraction Example: Find 2 / 3 of £36 TYPE II “Express one quantity as a fraction of another” The ANSWER will be a fraction Example: Express £24 as a fraction of £36

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(p. 2) In this type of problem, you’re always given the fraction. Example 1: Find 1 / 4 of £60 TYPE I FRACTIONS (Finding One Part) £60 £15 £15 Finding just one quarter of £60, means dividing the £60 by 4. 1 / 4 of £60 = £60 ÷ 4 = = £15

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(p. 3) 1 / 5 of 30 = 30 ÷ 5 = 6 people Example 2: Find 2 / 5 of 30 people TYPE I FRACTIONS (Finding More Than One Part) To find two fifths of 30, the traditional method is first to find one fifth so 2 / 5 of 30 = 2 × 6 = 12 people If the look of fractions puts you off, it might help to write fractions in words: 1 fifth of 30 = 30 ÷ 5 = 6 people so 2 fifths of 30 = 2 × 6 = 12 people 12

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(p. 4) TYPE I FRACTIONS (Doing this ‘sum’ in a different order) In maths, “of” means “multiply” so the ‘sum’ to find 2 fifths of 30 people was: 2 / 5 × 30 We just did the ‘sum’ 30 ÷5 ×2 = 12 but you can rearrange this: 30 ×2 ÷5 = 12 2 ×30 ÷5 = 12 2 ÷5 ×30 = 12 Some of these are easier to work out on paper than others, but you can test that they all give the same answer using a calculator.

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(p. 5) TYPE I FRACTIONS (Doing this ‘sum’ in a different order) The important thing is: In each case we have always MULTIPLIED by the top number of the fraction ×2 and DIVIDED by the bottom number ÷5

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(p. 6) TYPE I FRACTIONS (Doing this ‘sum’ in a different order) 30 ÷ 5 × 2 = × 2 ÷ 5 = 12 2 × 30 ÷ 5 = 12 2 ÷ 5 × 30 = 12 Multiply by 2 Divide by 5 × 30

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