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27 January, 18:43

How do you convert 2.67 (67 repeating) as a fraction

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  1. 27 January, 19:53
    0
    265/99

    Step-by-step explanation:

    Let X equal the decimal number

    Equation 1:

    X=2.67 (67 repeating)

    With 2 digits in the repeating decimal group,

    create a second equation by multiplying

    both sides by 102 = 100

    Equation 2:

    100X=267.67 (67 repeating)

    Subtract equation 1 from equation 2

    100X = 267.67 (67 repeating)

    X = 2.67

    We get : 99X = 265

    Solve for X

    X=265/99
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