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21 April, 16:55

Determine the decimal equivalent for 1/11 2/11 and 3/11. Use a pattern to mentally determine the decimal and equivalent for 7/11 and 8/11

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  1. 21 April, 17:23
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    In a calculator:

    1/11 = 0.09090909 ...

    2/11 = 0.18181818 ...

    3/11 = 0.27272727 ...

    (Notice: bold numbers are multiples of 9)

    There is a patern, for each multiple of 1/11 (which is equivalent to the numerator), we get a "0.", followed by the same multiple of 9 as the multiple of 11, displayed as two digits, which are repeated infinitely;

    We can apply this principle to find the decimal equivalents of the two other fractions as they have the same denominator, so:

    For 7/11:

    We do:

    7 * 9 = 63

    So:

    7/11 = 0.63636363 ... ( = 0.63 recurring)

    For 8/11:

    8 * 9 = 72

    So:

    8/11 = 0.72727272 ... ( = 0.72 recurring)
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