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GMATD11
Question:: Convert X=.262626.... into a fraction.
Answer ::

100x=26.2626....
100x-x=26
99x=26
x=26/99

Why x is subtracted from 100x?

Converting decimals (terminating, recurring and mixed) to fractions: math-number-theory-88376.html (chapter "Converting Decimals to Fractions")
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garimavyas
thats right for recurring decimals. thanks again.. any such techniques for non recurring decimals ?

I am rather late in answering this but still, let me point out that non-terminating non-repeating decimals (I am assuming that's what you meant) are irrational numbers. It means that they do not have an exact fraction representation.



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