Fractions As Ratios Worksheet Page 3
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1
2
3
4nuMber AnD AlgebrA
• real numbers
WorkeD exAMple 26
Write the ratio of 1.5 m to 45 cm in simplest form.
Think
WriTe
Write down the question.
1.5 m to 45 cm
1
Express both quantities in the same units by changing
150 cm to 45 cm
2
1.5 m into cm.
(1 m = 100 cm)
Omit the units and write the 2 numbers as a ratio.
150 : 45
3
Simplify the ratio by dividing both 150 and 45 by
10 : 3
4
15 — the HCF.
WorkeD exAMple 27
Simplify the following ratios.
2
7
5
5
:
:
a
b
5
10
6
8
Think
WriTe
2
7
Write the fractions in ratio form.
a
a
:
1
5
10
4
7
=
:
Write equivalent fractions using the lowest
2
10
10
common denominator: in this case 10.
= 4 : 7
Multiply both fractions by 10.
3
Check if the remaining whole numbers that form
4
the ratio can be simplifi ed. In this case they
cannot.
5
5
b
b
Write the fractions in ratio form.
:
1
6
8
20
15
=
Write equivalent fractions using the lowest
:
2
24
24
common denominator. In this case 24.
= 20 : 15
Multiply both fractions by 24.
3
= 4 : 3
Check if the remaining whole numbers that form
4
the ratio can be simplifi ed. In this case divide
each by the HCF of 5.
Dividing in a given ratio
Consider the following situation:
■
Isabel and Rachel decided to buy a $10 lottery ticket. Isabel had only $3 so Rachel put in
the other $7. The ticket won the fi rst prize of $500 000. How are the girls going to share the
prize? Is it fair that they would get equal shares?
In all fairness, it should be shared in the ratio 3 : 7.
117
Chapter 4
rational numbers
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