# Math

posted by .

How do I convert this decimal into a fraction?

3.083 (The last 3 is repeating by itself)

• Math -

1 8333/1000

• Math -

How did you do it? :)

• Math -

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...

• Math -

Thanks so much #yolo

• long way - Math -

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

• short way - Math -

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? :-)

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