Page 21 - Mathematics

Example 2.6

Convert each of the following decimals into fractions.

 

(a) 9.2 (b) 5.23 (c) 2.105
Solution Tanzania Institute of Education
(a) 9.2 

Let x = 9.2 (i)
Multiply by 10 both sides of equation (i) to get,

10x = 92.2 (ii)
Subtract equation (i) from equation (ii) and solve for x as follows:

10xx−= 92.2 9.2− 
9x = 83
83
x =
9

83

Therefore, 9.2 into fraction is .
9

(b) 5.23

Let x = 5.23 (i)
Multiply by 100 both sides of equation (i) to get

100x = 523.23 (ii)
Subtract equation (i) from equation (ii) and solve for x as follows:

100xx−= 523.23 5.23− 
99x = 518

518
x =
99

Therefore, 5.23 into fraction is 518 .

99
 
(c) 2.105
 
Let x = 2.105 (i) Mathematics Form One
Multiply by 1,000 both sides of equation (i) to get

 
1000x = 2105.105 (ii)

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25/10/2024 09:51:04
Mathematics form 1.indd 15 25/10/2024 09:51:04
Mathematics form 1.indd 15