Transcript type ii fractions

FRACTION PROBLEMS
TYPE I
TYPE II
“Find a fractional part
of a quantity”
“Express one quantity as
a fraction of another”
The QUESTION
contains a fraction
The ANSWER will be
a fraction
Example:
Find 2/3 of £36
Example:
Express £24 as a
fraction of £36
p. (1)
TYPE II FRACTIONS
•In this type of problem, your answer will be a fraction.
•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 A
quantity B
or
A
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.
p. (2)
TYPE II FRACTIONS
Example 1: Express £24 as a fraction of £36
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
= 12
18
÷2
÷2
=
6
9
÷3
÷3
2
= 3
p. (3)
TYPE II FRACTIONS
Example 2: A class contains 3 male and 7 female
students. What fraction of the class members are
females?
Don’t be fooled into thinking the fraction will always be
smaller number
The answer is NOT 3
bigger number
7
X
• 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
p. (4)