Page 198 - Math Smart - 7

Example 13

.
Subtract 2 ^ and 5 ^
Solution
5I _ 2I -3I - 1 Subtract the whole numbers
^3 ^2-^3 2
= 3^ - ^ Convert the proper fractions to like fractions
^6 6
We cannot subtract |
from
o b
So, convert 1 whole to f.
b
= 2l Simplify

Example 14

What is the value of 3^-1:^ + 2^?

Solution
j. i_ 2
^ 2- Work out the whole numbers
4.
10 20 5 10 20
8 6 4. 7
= 4 20 "*■ 20 Convert to like fractions
20
9
= 4
20
Check My
Understanding

O Work out the following. Write your answer in simplest form.

a) i + 5 d)i-i
8 8 6 ' 6 6
O Work out the following. Write your answer in simplest form.

d) i
10 2
p) ^ J. ^ —L f
2 ^ 3 ^ 12 f) 2 4 3 g) 1 - 12
6

Determine the following. Give your answers as mixed numbers in simplest form.
a) i + 2 b) f+ ^ c) ^
3
8
5 . 2
5 . 3
d) 1^ 4 e) ^ + f f) 5 + i
6 ^ 12
O Determine the following. Give your answers as mixed numbers in simplest form.
a) 21 + 31 b)4l-2U 0 3^+ 7§ d) 2 — - 1 ' 100
20

e) 4 + 3^ f) 12| -9 g) 10-5| h) 7-6|

Fractions