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FRACTION PROBLEMS

TYPE I “Find a fractional part of a quantity” The QUESTION contains a fraction Example : Find 2 / 3 of £36. TYPE II “Express one quantity as a fraction of another” The ANSWER will be a fraction Example : Express £24 as a fraction of £36. FRACTION PROBLEMS.

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FRACTION PROBLEMS

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  1. TYPE I “Find a fractional part of a quantity” The QUESTION contains a fraction Example: Find 2/3 of £36 TYPE II “Express one quantity as a fraction of another” The ANSWERwill be a fraction Example: Express £24 as a fraction of £36 FRACTION PROBLEMS

  2. •In this type of problem, your answer will be a fraction. TYPE II FRACTIONS •You will be given two quantities and asked to write “one quantity (A) as a fraction of another quantity (B)” •The fraction you want is simply quantity AorA quantity B B •You’ll be expected to write your answer in its simplest form •The HARD PART is deciding, from the information in the question, which number is quantity A and which is quantity B.

  3. 12 18 6 9 2 3 = = = Example 1: Express £24 as a fraction of £36 TYPE II FRACTIONS Always look for the words “as a fraction of …” because this is your bottom number (quantity B) The fraction you want is 24 36 “Cancel” to its simplest form: 24 36 ÷2 ÷2 ÷2 ÷2 ÷3 ÷3

  4. Don’t be fooled into thinking the fraction will always be smaller number The answer is NOT3 bigger number 7 X Example 2: A class contains 3 male and 7 female students. What fraction of the class members are females? TYPE II FRACTIONS • Ask yourself: “fraction of what …?” Here it’s “fraction of total class members”, which we need to work out: 3 males + 7 females = 10 class members. WORDS HELP: The fraction you want is females (in words) = 7 (in numbers) total class members 10

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