Represent 0.533 (only the last 3 is bar number) into a rational number

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Represent 0.533 (only the last 3 is bar number) into a rational number

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Delwyn 4 years 2021-08-27T19:08:14+00:00 1 Answers 16 views 0

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  1. Ladonna
    0
    2021-08-27T19:09:43+00:00
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    Answer:

    \frac{8}{15}

    Step-by-step explanation:

    We require 2 equations with the repeating 3 placed after the decimal point.

    let x = 0.5333.. ( multiply both sides by 10 and 100 )

    10x = 5.333… → (1)

    100x = 53.333… → (2)

    Subtract (1) from (2) tus eliminating the repeating 3

    90x = 48 ( divide both sides by 90 )

    x = \frac{48}{90} = \frac{8}{15}

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