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Fraction Problems: Type II - Solve Fractional Word Problems

Learn how to solve Type II fraction problems involving percentages, measurements, and totals, and express the answers in their simplest form.

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Fraction Problems: Type II - Solve Fractional Word Problems

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  1. 1120 = TYPE II FRACTIONS – (problems) 55 “in every ” 100 is another way of saying 55 “as a fraction of ” 100. Example 1: A leading supermarket claims that 55 in every 100 people shop at their store. What fraction is this? We want the fraction 55 100 ÷5 ÷5

  2. 3500 6000 35 60 712 = = = TYPE II FRACTIONS – (problems) 3500 “out of ” 6000 is another way of saying 3500 “as a fraction of ” 6000. Example 2: Out of 6000 spectators at a match, 3500 were season-ticket holders. What fraction is this? We want the fraction season-ticket holders all spectators ÷100 ÷100 ÷5 ÷5

  3. 25 200 18 = = 5 40 = TYPE II FRACTIONS – (problems) 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. 1 m = 100 cm 2 m = 200 cm Example 3: A 25-cm piece of ribbon has been cut from a roll 2 metres long. What fraction of the roll is this? We want the fraction cut length (cm) length of roll (cm) ÷5 ÷5 ÷5 ÷5

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

  5. TYPE II FRACTIONS – (Exercise) 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 1) Write 24 minutes as a fraction of 1 hour. • 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 9000 8000 9000 8000

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