# (p. 1) TYPE II FRACTIONS – (problems) Example 1: A leading supermarket claims that 55 in every 100 people shop at their store. What fraction is this? 55.

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(p. 1) TYPE II FRACTIONS – (problems) Example 1: A leading supermarket claims that 55 in every 100 people shop at their store. What fraction is this? 55 “in every ” 100 is another way of saying 55 “as a fraction of ” 100. We want the fraction = 11 20 55 100 ÷5

(p. 2) TYPE II FRACTIONS – (problems) Example 2: Out of 6000 spectators at a match, 3500 were season-ticket holders. What fraction is this? 3500 “out of ” 6000 is another way of saying 3500 “as a fraction of ” 6000. We want the fraction season-ticket holders all spectators 3500 6000 = ÷100 = 7 12 = 35 60 ÷5

(p. 3) TYPE II FRACTIONS – (problems) Example 3: A 25-cm piece of ribbon has been cut from a roll 2 metres long. What fraction of the roll is this? Both the top and bottom number of a fraction must be in the same units, before you can write the fraction in its simplest form. We want the fraction cut length (cm) length of roll (cm) 25 200 = ÷5 = 1818 = 5 40 ÷5 1 m = 100 cm 2 m = 200 cm

(p. 4) TYPE II FRACTIONS – (problems) Example 4: The table shows the number of animals treated in a vet’s surgery. Type of animalHamsterCatDogBirdFish Number treated 3 9 5 2 6 Express the total number of cats, dogs and fish as a fraction of all the animals treated (in its simplest form). We want the fraction cats + dogs + fish = 9 + 5 + 6. total animals 3+9+5+2+6 ÷5 20 25 == 4545

(p. 5) TYPE II FRACTIONS – ( Exercise ) 1) Write 24 minutes as a fraction of 1 hour. 2) A firm employs 450 staff who are aged under 60 and 150 staff aged 60 years and over. What fraction of the workforce is at least 60 years old? 3) Water freezes at 32º Fahrenheit. What fraction of these temperature readings are below freezing? 18ºF; 34ºF; 50ºF; 30ºF; 44ºF; 0ºF; 16ºF; 61ºF 4) The cost of a car rises from £8000 in 2005 to £9000 in 2006. Which of these ‘sums’ shows the increase in price as a fraction of the 2005 price? (a) 8000 (b) 9000 (c) 1000 (d) 1000 90008000 9000 8000

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