Question

How do I convert this decimal into a fraction?

3.083 (The last 3 is repeating by itself)

Answer 1

1 8333/1000

Answer 2

How did you do it? :)

Answer 3

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...

Answer 4

Thanks so much #yolo

Answer 5

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

Answer 6

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? :-)