Answer:
x = 83/99
Step-by-step explanation:
Set .83 repeating to a variable
x = .83 repeating
Multiply each side by 10^y where y is the number of digits that are repeating
y is 2 so we multiply by 10^2 = 100
100 x = 100 * .83 repeating
100x = 83.83repeating
Subtract the original equation
100x = 83.83 repeating
- x = .83 repeating make sure to line up the decimals
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99x = 83 notice all the decimals subtract away
Divide each side by 99
99x/99 = 83/99
x = 83/99
