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Question

0.12333... can be expressed in rational form as



A

900111

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B

111900

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C

12310

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D

121900

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Solution

The correct option is B

111900


Let x = 0.12333
Multiplying by 100 on both sides, we get
100x = 12.333... (i)
Multiplying by 1000 on both sides, we get
1000x = 123.33...
Subtracting (i) from (ii), we get,

900x=123.33.....12.333..... 
         =111 

x=111900


Mathematics

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