Question

Evaluate (-2 4/5)-(-1 5/6)​

Answer 1

Answer:

(-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