It can be easier to factor out -1, so you have .. = -1*((5 7/9) +(2 3/4)) .. = -1*(5+7 + 7/9 +3/4)
Both fractions can be expressed using a denominator of 9*4 = 36. .. 7/9 = (7/9)*(4/4) = 28/36 .. 3/4 = (3/4)*(9/9) = 27/36 Sum the fractions by adding their numerators (when they have the same denominator). .. 7/9 +3/4 = 28/36 +27/36 = 55/36 This is an improper fraction, so can be written as a mixed number .. 55/36 = 36/36 +19/36 = 1 19/36
We can add this sum with the sum of the integers in our original problem .. -1*(5 +7 +7/9 +3/4) .. = -1*(12 +1 19/36) .. = -1*(13 19/36) .. = -13 19/36 . . . . . . . . the sum of your mixed numbers
