Question

0.83333333333 repeating as a fraction

Answer 1

100x=83.3333333...
10x= 8.3333333...

Then subtract these formulas since you already KNOW that x is the same in both equations. Using 100x and 10x you get the exact same repeating decimal, but the decimal gets subtracted out therefore simplfying the equation greatly:

90x=75

To solve this equation, divide both sides by 90 and you get:
x=75/90

Simplfy: x=5/6

Answer 2

Let x=0.8¯3

Then 10x=8.¯3

So (10x−x)= 8.3333¯3

bbnnn.nnnnnnnbb0.8333¯3−−−−−−−−−− Subtracting

bbbbb.bbbbbbbbb7.5

9x=7.5

Multiply both sides by 10

90x=75

Divide both sides by 90

x=75/90=5/6

SOO x=0.8¯3=  5/6

SO 5/6 is your answer HOPE I HELPED!!!!!!!!!!