a rope of length 12 m is cut into four pieces. The length of the three pieces are 2 5/6 , 1 1/7m and 3 1/3 m . find the length of

a rope of length 12 m is cut into four pieces. The length of the three pieces are 2 5/6 , 1 1/7m and 3 1/3 m . find the length of the fourth piece.

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  1. Answer:

    31/6 or 5 1/6( mixed fraction)

    Step-by-step explanation:

    the total length of 3 ropes would be

    2(5/6) + 1(1/7) + 3(1/3) ( mixed fraction )

    17/6 + 8/7 + 10/3

    (17(7) + 8(6) + 10(12))/42

    (119 + 48 + 120) / 42

    287/42

    41/6 ( divisible by 7 )

    so the length of 4th piece would be

    = 12 – 41/6

    = (72 – 41)/6

    = 31 / 6

    = 5 1/6 ( mixed fraction )

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