Evaluate (-2 4/5) - (-1 5/6)

(-29) / 30

Step-by-step explanation:

Simplify the following:

- (2 + 4/5) + (1 + 5/6)

Put 2 + 4/5 over the common denominator 5. 2 + 4/5 = (5*2) / 5 + 4/5:

- (5*2) / 5 + 4/5 + 1 + 5/6

5*2 = 10:

- (10/5 + 4/5) + 1 + 5/6

10/5 + 4/5 = (10 + 4) / 5:

- (10 + 4) / 5 + 1 + 5/6

10 + 4 = 14:

-14/5 + 1 + 5/6

Put (-14) / 5 + 1 + 5/6 over the common denominator 30. (-14) / 5 + 1 + 5/6 = (6 (-14)) / 30 + 30/30 + (5*5) / 30:

(6 (-14)) / 30 + 30/30 + (5*5) / 30

6 (-14) = - 84:

(-84) / 30 + 30/30 + (5*5) / 30

5*5 = 25:

(-84) / 30 + 30/30 + 25/30

-84/30 + 30/30 + 25/30 = (-84 + 30 + 25) / 30:

(-84 + 30 + 25) / 30

| 3 | 0

+ | 2 | 5

| 5 | 5:

(55 - 84) / 30

55 - 84 = - (84 - 55):

( - (84 - 55)) / 30

| 7 | 14

| 8 | 4

- | 5 | 5

| 2 | 9:

Answer: (-29) / 30