Converting Recurring Decimal Into a Fraction
I'm confused. I know the method and have been trying to convert 0.0999999 but keep coming up with 1/10 as the answer which doesn't feel right given that 1/10 is 0.1 as a decimal. Here's the method I used,where am I going wrong?
x = 0.099999
100x = 9.9999
100x - x = 99x = 9.9
990x = 99 so x = 1/10!!!!