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(p. 1) TYPE I FRACTIONS – (problems) Example 1: Find 2 / 3 of £36 £36 £12 £12 £12 £24 1 / 3 of £36 = £36 ÷ 3 = £12 2 / 3 of £36 = £12 × 2 = £24 or 2 / 3 × 36 = 36 × 2 ÷ 3 = 72 ÷ 3 = £24

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(p. 2) TYPE I FRACTIONS – (problems) Example 2: Find 3 / 4 of £13 £13 £3.25 £3.25 £3.25 £3.25 £9.75 1 / 4 of £13 = £13 ÷ 4 = £3.25 3 / 4 of £13 = £3.25 × 3 = £9.75 or 3 / 4 × 13 = 13 × 3 ÷ 4 = 39 ÷ 4 = £9.75 Multiplying first avoids a decimal until the end

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(p. 3) TYPE I FRACTIONS – (problems) Example 3: In a sale, a suit originally costing £210 is reduced by one third. Find (i) how much you save (ii) how much you pay 1 / 3 OFF (i) You save 1 / 3 of £210 = £210 ÷ 3 = £70 (ii) You pay the sale price = original cost – reduction = £210 – £70 = £140 READ THE QUESTION CAREFULLY !!

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(p. 4) TYPE I FRACTIONS – (problems) Example 4: Which of the following calculations will find three eighths of £113.04? (1) 113.04 ÷ 3 × 8 (2) 113.04 ÷ 8 × 3 (3) 113.04 × 3 ÷ 8 (4) 3 × 113.04 ÷ 8 Multiple choice answers: A – all of them B – (1) and (4) only C – (2) and (3) only D – (2), (3) and (4) Answer: D To find 3 / 8 × 113.04 multiply by the top no. (×3) divide by the bottom no. (÷8) in any order

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(p. 5) TYPE I FRACTIONS – ( Exercise ) 1) Find 3 / 5 of £6500 2) A firm employs 640 people. Five eighths of them are women. How many women are employed? 3) In 2004 a tennis club had 84 members. In 2005 the number of members decreased by 2 / 7. How many fewer members were there in 2005? 4) In 1900 a city’s population was 120 000. In the year 2000 this number had increased by three quarters. What was the population in 2000? 5) Which of these two ‘sums’ finds 5 / 9 of 180? (a) 180 × 5 ÷ 9 or (b) 180 × 9 ÷ 5

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