Express the recurring decimal 0.125125 as a rational number?
- 125/999
- 125/9
- 125/99
- None of these
Explanation
Let x = 0.125125125...
Multiply x by 1000:
1000x = 125.125125...
Subtract x from 1000x:
999x = 125
Divide by 999:
x = 125/999
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