How do I convert this decimal into a fraction?

Question

3.083 (The last 3 is repeating by itself)

Reiny · Accepted Answer

let x = 3.0833333.. times 10 10x = 30.833333... x = 3.083333.. subtract them: 9x = 27.75 x = 27.75/9 = 2775/900 = 37/12

Ms. Sue · Answer

1 8333/1000

Fred · Answer

How did you do it? :)

Reiny · Answer

so you have 3.0833333.... quick way = 3 + .083333... = 3 + (83-8)/900 = 3 + 75/900 = 3 + 1/12 = 37/12 check by dividing 37 by 12 = 3.083333...

Fred · Answer

Thanks so much #yolo

Steve · Answer

we all know that 1/12 = 0.083333 So, we have 3 1/12 = 37/12 we do all know common fractions as decimals, don't we? :-)