Let f = 0.6777...
then 10f = 6.777....
so that 9f = 6.1
therefore, f = 6.1/9 = 61/90
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0.9 recurring as a fraction is equal to 1. I know its crazy. But its true.
To convert a fraction to a decimal, divide the denominator into the numerator. Whether it is recurring or not depends on the fraction.
Although it is a terminating fraction, it can be written as a recurring fraction as: 0.47000000... or 0.46999999...
Expressed as a proper fraction in its simplest form, 0.5 recurring is equal to 5/9, or five ninths.
If that's a recurring 6 then as a fraction it is -2/3