What is 0.83 (3 being repeated) repeated as a fraction?

0.8333333.....

We say let P = 0.833333...

Then 100 P = 83.33333.....

and 10P = 8.333333....

Subtract

100P - 10P = 90P Hence

83.333333..... - 8.3333333..... = 75. 00000

Notice the 'poimt threes dissappear'.

Hence we have

90P = 75

P = 75/90

Cancel down by '5'

P = 15/18

Cancel down by #3#

P = 5/6

Hence P = 0.83333..... = 5/6 as a fraction.