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Published byMarco Hindley Modified about 1 year ago

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MATHEMATICS Fractions of Quantities

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Lesson Objectives The aim of this powerpoint is to help you… to calculate fractions of quantities to revise multiplying fractions by fractions

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Method 1 Write the quantity over 1 and treat as you would when multiplying two fractions together… Multiply the top numbers together Multiply the bottom numbers together Cancel down (if possible) and/or convert your improper fraction back into a mixed number

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Example – Using method 1 Find 2 / 3 of 60 Remember the line in a fraction means divide, so… = = 2× × = × = ÷ 3

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Method 2 Remember that ‘of’ in maths means multiply so… Multiply the quantity by the top number of the fraction Remember the line in a fraction tells you to divide so… Divide your product by the bottom number of the fraction

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Example – Using method 2 Find 2 / 3 of 60 (2 x 60) 40 × ÷ 3 = (120)

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Method 3 Find the unitary fraction of the quantity by dividing the quantity by the bottom of the fraction… Then multiply this by the top number of the fraction.

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Example – Using method 3 Find 2 / 3 of 60 60 ÷ 3 = 20 of 2 × 20 = 40 of

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Quick Practice A1 D2A1 D B3 E4B3 E C5 F Work out your answers before clicking on to the next slide. of 300cm of £3 of 81p of 49kg of 40 HINT: Convert to pence first!

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Answers 40 ÷ 5 = 8 (40 ÷ 5) then x 3 = 24 (300 ÷ 6) then x 5 = 250cm (49 ÷ 7) then x 2 = 14kg (81 ÷ 9) then x 4 = 36p (300 ÷ 10) then x 7 = 210p or £2.10

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What next? Print out the notes called Frac8. Read them and make sure you answer any questions Work through pages 1, 2, 3 & 8 of the MyMaths lesson called More Fractions found at: Work through pages 7 to 10 of the MyMaths lesson called Fractions of Amounts found at: If you need more practice, try the worksheet called FracAm-S2.xlsx. Now move on to the Frac-9 powerpoint

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