Page 182 - Math Smart - 7

O Write the fraction ^ Its simplest form.
in
Solution
18 and 24 are multiples of several factors, like 2, 3 and 6. In fact, 6 is the
highest common factor (HCF) of 18 and 24.
What happens when you
To get the simplest form, we divide the numerator and denominator by 6.
divide the numerator and
by
denominator of ^ ~6
2 or 3? 18 3
24 V_>4
-r6
18 :
.
g in its simplest form is f

© Express each fraction in its simplest form.
IS
a) ^ 15 c) ^ d) 64
28 45 W "7^ 80
70
Solution
Method 1 Method 2

a) The greatest number that divides 18 and 28 is 2.
o Journal Writing 28 28 -r 2 14 28 2r 14
1^^ 18-^2 _ _9_
18 =
±
James lists some fractions 14
that are equivalent to i: b) The greatest number that divides 15 and 45 is 15.

A 16 32_ 1
12 24 48 96
15-= 15 -r 15 ^ 1 15 ^ 4^^ 1
a) What is James doing 45 45 T 15 3 45 45- 3
to work out the 3
equivalent fractions?

b) James says that he
c) The greatest number that divides 42 and 70 is 14.
will eventually list all
3
the fractions that are
equivalent to^ if he 42-= 42 4-14 _ 5 42 ^ 4r^ 3
5
70 70 T 14 " 10 jer S
keeps on going in this
-KT
way. Show how James 5
may not be correct.
c) Suggest a way that
d) The greatest number that divides 64 and 80 is 16.
could be used to find
all the fractions that 4
are equivalent to^. 6A= 64 T 16 ^ 4 M = M'- 4
80 80 -r 16 5 80 88-"" 5

5

Fractions