To simplify the ratio in decimals, we follow the steps given below :
(i) Multiply both parts of ratio by 10, 100, 1000...... etc
(ii) After changing the decimal as integer, write the ratio in the form of a : b as a/b.
(iii) Simplify the fraction as much as possible.
(iv) The simplified form of a/b can be written as a : b.
Example :
Express the ratio in a simplified form :
0.4 : 0.5
On both parts of the ratio, we have only one digit after the decimal. So, we multiply both parts of the ratio by 10.
= 0.4(10) : 0.5(10)
= 4 : 5
More examples :
Express the ratio in simplest form :
(2) 1.3 : 1.8
(3) 0.1 : 0.9
(4) 0.2 : 0.6
(5) 0.4 : 0.2
(6) 1.4 : 0.7
(7) 0.03 : 0.15
(8) 0.02 : 0.12
(9) 0.18 : 0.06
(10) 0.05 : 0.15
(2) Solution :
1.3 : 1.8
Multiply both parts of ratio by 10, we get
= 1.3(10) : 1.8(10)
= 13 : 18
It is not possible to simplify hereafter, so the answer is 13 : 18.
(3) Solution :
0.1 : 0.9
Multiply both parts of ratio by 10, we get
= 0.1(10) : 0.9(10)
= 1 : 9
So, the answer is 1 : 9.
(4) Solution :
0.2 : 0.6
Multiply both parts of ratio by 10, we get
= 0.2(10) : 0.6(10)
= 2 : 6
= 2/6
= 1/3
So, the answer is 1 : 3.
(5) Solution :
0.4 : 0.2
Multiply both parts of ratio by 10, we get
= 0.4(10) : 0.2(10)
= 4 : 2
= 4/2
= 2/1
So, the answer is 2 : 1.
(6) Solution :
1.4 : 0.7
Multiply both parts of ratio by 10, we get
= 1.4(10) : 0.7(10)
= 14 : 7
= 14/7
= 2/1
So, the answer is 2 : 1.
(7) Solution :
0.03 : 0.15
Multiply both parts of ratio by 100, we get
= 0.03(100) : 0.15(100)
= 3 : 2
= 4/2
= 2/1
So, the answer is 2 : 1.
(8) Solution :
0.02 : 0.12
Multiply both parts of ratio by 100, we get
= 0.02(100) : 0.12(100)
= 2 : 12
= 2/12
= 1/6
So, the answer is 1 : 6.
(9) Solution :
0.18 : 0.06
Multiply both parts of ratio by 100, we get
= 0.18(100) : 0.06(100)
= 18 : 6
= 18/6
= 3/1
So, the answer is 3 : 1.
(10) Solution :
0.05 : 0.15
Multiply both parts of ratio by 100, we get
= 0.05(100) : 0.15(100)
= 5 : 15
= 5/15
= 1/3
So, the answer is 1 : 3.
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