Asked by G

__
Change 1.01 to a fraction

Book says answer is 100/99.

not clear why?

Answers

Answered by bobpursley
1.010101...
multiply by 100
101.0101.... subtract the original number
xx1.0101...
result is 100.

So let the original number be n
100n-n=100
n(100-1)=100
n=100/99
QED
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