First of all , is ' -0.8333 ' are terminating decimal , in which case it should be written as . -0,8333. ' Note the full stop.
Or is it recurring to infinity, in which case it should be written as ' -0.8333.... '
Three or more full-stops/dots is the mathematical indication of recurring to infinity.
Hence Terminating decimal
-0.8333 / 1.0000 = -8333/10000 As the negative fraction. This will not reduce.
As a Recurring Decimal to Infinity
We say , Let
P = -0.83333....
Multiply by '10'
10P = -8.3333....
Multiply by '100'
100P = - 83.33333....
Subtract 10P from 100P ( on both sides)
90P = -75 ( Note the recurring decimals subtract to 'zero'.)
P = -75/90
Cancel down(reduce) by '15'
P = - 5/6 is the answer to the recurring to infinity decimal.
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