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Express each of the following decimals in the form of rational number.
(i) 0.39
(ii) 0.750
(iii) 2.15
(iv) 7.010
(v) 9.90
(vi) 1.0001
(i) Given,
0.39 = 39/100
(ii) Given,
0.750 = 750/1000
(iii) Given,
2.15 = 215/100
(iv) Given, 9.101
(iv) Given,
7.010 = 7010/1000
(v) Given,
9.90 = 990/100
(vi) Given,
1.0001 = 10001/10000
Express each of the following decimals in the form of rational number (p/q)
Multiplying both sides of equation (a) by 10, we get,
10x = 4.44.... (b)
Subtracting equation (1) by (2)
9x = 4
x = 4/9
Hence,= x = 4/9
Multiplying both sides of equation (a) by 100, we get,
100 x = 37.37.... (b)
99 x = 37
x = 37/99
Hence,= x = 37/99
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