xpress 1.4191919… in the form , where p and q are integers and q ≠ 0.​

Question

xpress 1.4191919… in the form , where p and q are integers and q ≠ 0.​

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Harper 4 weeks 2021-11-02T05:24:27+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-02T05:25:34+00:00

    Answer:

    281/198

    Step-by-step explanation:

    1.41919191919…….. = x

    1000x = 1419.19191919……

    1000x – 10x  = 1419.191919…… – 14.19191919….

    990x = 1405

    x = 1405/990

    x = 281/198

    0
    2021-11-02T05:25:36+00:00

    x = 1.41919  -  -  -  -  - (1)\\ 1000 \times x = 1419.1919 \\ 1000x = 1419.1919 -  -  -  -  - - (2) \\ now \: subract \: (1)equation \: from \: it  \\ 1000x = 1419.1919 \\  \:  \: x = 1.41919 \\ 999x = 1416.773891919 \\ x =  \frac{1416.773891919}{999}

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