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17 July, 13:05

What is 9 5/6 multiplied by 5 1/4

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Answers (2)
  1. 17 July, 13:14
    0
    45 5/24
  2. 17 July, 13:30
    0
    413/8 or 51.625 decimal

    Step-by-step explanation:

    Simplify the following:

    (9 + 5/6) (5 + 1/4)

    Put 5 + 1/4 over the common denominator 4. 5 + 1/4 = (4*5) / 4 + 1/4:

    (9 + 5/6) (4*5) / 4 + 1/4

    4*5 = 20:

    (9 + 5/6) (20/4 + 1/4)

    20/4 + 1/4 = (20 + 1) / 4:

    (9 + 5/6) (20 + 1) / 4

    20 + 1 = 21:

    (9 + 5/6) * 21/4

    Put 9 + 5/6 over the common denominator 6. 9 + 5/6 = (6*9) / 6 + 5/6:

    21/4 (6*9) / 6 + 5/6

    6*9 = 54:

    ((54/6 + 5/6) * 21) / 4

    54/6 + 5/6 = (54 + 5) / 6:

    21/4 (54 + 5) / 6

    54 + 5 = 59:

    59/6*21/4

    59/6*21/4 = (59*21) / (6*4):

    (59*21) / (6*4)

    The gcd of 21 and 6 is 3, so (59*21) / (6*4) = (59 (3*7)) / ((3*2) 4) = 3/3 * (59*7) / (2*4) = (59*7) / (2*4):

    (59*7) / (2*4)

    2*4 = 8:

    (59*7) / 8

    59*7 = 413:

    Answer: 413/8
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