-5 1/3+4,5

To add these two numbers, we first need to convert the mixed number -5 1/3 to an improper fraction. -5 1/3 = -5 + 1/3 = -15/3 + 1/3 = -14/3 Now we can add the two numbers: -14/3 + 4.5 To add these two numbers, we need to convert 4.5 to a fraction. 4.5 = 4 + 0.5 = 4 + 1/2 = 8/2 + 1/2 = 9/2 Now the expression becomes: -14/3 + 9/2 To add these fractions, we need a common denominator. The least common multiple of 3 and 2 is 6. Multiplying the fractions by appropriate factors to get a common denominator: -14/3 * 2/2 = -28/6 9/2 * 3/3 = 27/6 Now the expression becomes: -28/6 + 27/6 = -1/6 Therefore, -5 1/3 + 4.5 = -1/6