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Math

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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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