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Express the number as a ratio of integers.0.39 = 0.39393939
10 months ago
Q:
Express the number as a ratio of integers.0.39 = 0.39393939
Accepted Solution
A:
◆ NUMBER SYSTEMS ◆
Let 0.393939... = x
Or , x = 0.393939... ---eq.(1)
Multiplying both sides by 100
We get ,
_____ 100x = 39.393939... --- eq.(2)
Subtracting eq.(1) from eq.(2)
We get ,
100x-x = 39.393939... - 0.393939...
_____ 99x = 39
_____[tex]x = \frac{39}{99} \\ \\ x = \frac{13}{33} \: \: \: \: \: \: \: \: \: \: \: Ans.[/tex]