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21 October, 12:58

Is there a number between 10/11 and 5/6?

If so, find one, if not, explain

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  1. 21 October, 13:01
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    yes, 28/33

    Step-by-step explanation:

    For any pair of real numbers, there are an infinite number of numbers between them.

    These two numbers can be written with the common denominator 66 as ...

    10/11 = 60/66

    5/6 = 55/66

    Numbers between these that have that same denominator are ...

    {56/66, 57/66, 58/66, 59/66}

    Of course, there is no requirement that the number be rational, or that it have this denominator. Other numbers between your pair include ...

    {56/67, 59/65, √ (25/33), π/3.6}
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