Page 184 - Math Smart - 7

CHAPTER 8.3

In this chapter
onverting Between
Pupils should be able to:
• change an improper
fraction to a mixed
number, and vice versa Improper Fractions and
• know that in any
division where the
Mixed Numbers
dividend is not a
multiple of the
divisor there will be a
remainder and it can be
Proper fractions
expressed as a fraction
and
of the divisor In Stage 3, you learnt about fractions. In fractions such as |
the numerator is smaller than the denominator.
These are called proper fractions.

Mixed numbers and improper fractions
1
The whole number part is 1. 1 The proper fraction part is ^.

A mixed number is a number that has a whole number and a proper fraction.
An Improper fraction is a fraction where the numerator is greater than or equal to
the denominator.

A group of pupils is split 8.3.1 Converting mixed numbers tp
into four groups.
improper fractions I
They shared some
chocolate bars as follows:
We learnt that an improper fraction is a fraction where the numerator is greater
1" group: 4 learners
than the denominator. Let us learn how to convert mixed numbers to improper
shared 3 chocolate bars.
fractions.
2"'' group: 5 learners
Example 1
shared 4 chocolate bars.
3'" group: 8 learners
Write 2| as an improper fraction.
shared 7 chocolate bars.
4'^ group: 5 learners Solution
shared 3 chocolate bars. Method 1 We can represent 2| as a diagram.

Is this fair? Did each pupil 1 - - I
' 4 1
get the same amount of I
2^ -2 + ^ ■H
^
4
chocolate? ^4 " ^
=1+1+1
-4 4 3
- 4 ^4 ^4
11
- 4

UNIT 8 I Fractions