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Mathematics

Mathematics. Fractions of Quantities. Lesson Objectives. The aim of this powerpoint is to help you… t o calculate fractions of quantities to revise multiplying fractions by fractions. Method 1. Write the quantity over 1 and treat as you would when multiplying two fractions together…

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Mathematics

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  1. Mathematics Fractions of Quantities

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

  3. 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

  4. Example – Using method 1 Find 2/3 of 60 Remember the line in a fraction means divide, so… 120 3 2 60 31 2×60120 3×1 3 40 × = = = 40 120 ÷ 3  =

  5. 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

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

  7. 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.

  8. Example – Using method 3 Find 2/3 of 60 1 3 20 60 of 60 ÷ 3 =  2 3 40 60 of 2 × 20 = 

  9. Quick Practice A 1 D 2 5 7 B 3 E 4 5 9 C 5 F 7 6 10 Work out your answers before clicking on to the next slide. of 49kg of 40 of 81p of 40 of £3 of 300cm HINT: Convert to pence first!

  10. Answers D of 49 = E of 81 = F of 300p = A of 40 = B of 40 = C of 300= 40 ÷ 5 = (49 ÷ 7) then x 2 = 8 14kg (40 ÷ 5) then x 3 = (81 ÷ 9) then x 4 = 24 36p (300 ÷ 6) then x 5 = (300 ÷ 10) then x 7 = 250cm 210p or £2.10

  11. 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: http://www.mymaths.co.uk/tasks/library/loadLesson.asp?title=fractions/fractionsGold&taskID=1370 • Work through pages 7 to 10 of the MyMaths lesson called Fractions of Amountsfound at: http://www.mymaths.co.uk/tasks/library/loadLesson.asp?title=fractions/fractions1&taskID=1018 • If you need more practice, try the worksheet called FracAm-S2.xlsx. • Now move on to the Frac-9powerpoint

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