Fractions
posted by G .
__
Change 1.01 to a fraction
Book says answer is 100/99.
not clear why?

1.010101...
multiply by 100
101.0101.... subtract the original number
xx1.0101...
result is 100.
So let the original number be n
100nn=100
n(1001)=100
n=100/99
QED
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