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25 May, 11:18

Use the infinite geometric sum formula to write 0.757575 ... as a fraction in reduced form.

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  1. 25 May, 11:44
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    In the given above, we have the decimal number, 0.75757575 ... where digits 7 and 5 are repeated. The reduced form for decimal numbers with repeated digits is to divide the number by 9 (number of 9 depends on the repeating digits). This is as follows,

    f = 75/99

    We may divide the numbers ins the denominator and numerator by 3 to come up with the reduced form which is equal to 25/33.

    Answer: 25/33
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