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simplify 5 1/3 - (- 7/8)= what

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1 Answer

  1. Remember, two negatives make a positive.  What you are being asked to do here is add 5 1/3 and 7/8. 
  2. First, you will need to find a common denominator for the two fractions.  You can find this easily by multiplying the denominators given.  3 x 8 = 24.  The common denominator will be 24.
  3. Now, you need to make the numerators proportional to the new denominators.  You can do this by cross multiplying.  You will multiple the numerator of 1 in the first fraction by the denominator of 8 from the second fraction.  1 x 8= 8.  Now do the same thing to the other numerator.  3 x 7 = 21
  4. 5 8/24  +  21/24 = 5 29/24
  5. Notice that the numerator in your answer is higher than the denominator.  29/24 is an improper fraction.  You must change 29/24 to 1 5/24. 
  6. Add this to the 5. 
  7. The answer is 6 5/24.
  8. The fraction is in simplest form so you are done.