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6 November, 12:35

Give the answer in lowest terms 12 1/3 - 5 3/4

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Answers (2)
  1. 6 November, 12:41
    0
    6 7/12.

    Step-by-step explanation:

    12 1/3 - 5 3/4

    = 37/3 - 23/4 The LCD of 3 and 4 is 12 so we multiply the first fraction by 4/4 and the second fraction by 3/3):

    (4*37) / 3*4) - (23*3) / (4*3)

    = 148/12 - 69/12

    = 79/12.

    = 6 7/12.
  2. 6 November, 13:01
    0
    Answer: 6 and 7/12

    Step-by-step explanation: To subtract mixed numbers such as 12 and 1/3 - 5 and 3/4, we first subtract the fractions.

    Notice that 1/3 and 3/4 are unlike fractions so we need a common denominator which in this case is 12.

    To get a 12 in the denominator of 1/3, we multiply the numerator and the denominator by 4 and we get the equivalent fraction 4/12.

    To get a 12 in the denominator of 3/4, we multiply the numerator and the denominator by 3 and we get the equivalent fraction 9/12.

    Now we have 12 and 4/12 - 5 and 9/12.

    Now we can subtract the fractions.

    Notice here however that we have 4/12 - 9/12 which will gives us a negative fraction. Since this will cause us a lot of trouble, instead, let's rewrite the first mixed number which is 12 and 4/12.

    We can do this by thinking of 12 and 4/12 as 11 + 1 and 4/12 or as 11 + 16/12 by changing 1 and 4/12 into a improper fraction.

    So 12 and 4/12 can be written as 11 and 16/12.

    So we have 11 and 16/12 - 5 and 9/12 which gives us 6 and 7/12.
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