Question

Show that 5 2/3 - 3 4/5 = 1 13/15

Answer 1

Answer:

True both are 28/15

Step-by-step explanation:

Simplify the following:

5 + 2/3 - (3 + 4/5)

Put 3 + 4/5 over the common denominator 5. 3 + 4/5 = (5×3)/5 + 4/5:

5 + 2/3 - (5×3)/5 + 4/5

5×3 = 15:

5 + 2/3 - (15/5 + 4/5)

15/5 + 4/5 = (15 + 4)/5:

5 + 2/3 - (15 + 4)/5

15 + 4 = 19:

5 + 2/3 - 19/5

Put 5 + 2/3 - 19/5 over the common denominator 15. 5 + 2/3 - 19/5 = (15×5)/15 + (5×2)/15 + (3 (-19))/15:

(15×5)/15 + (5×2)/15 + (3 (-19))/15

15×5 = 75:

75/15 + (5×2)/15 + (3 (-19))/15

5×2 = 10:

75/15 + 10/15 + (3 (-19))/15

3 (-19) = -57:

75/15 + 10/15 + (-57)/15

75/15 + 10/15 - 57/15 = (75 + 10 - 57)/15:

(75 + 10 - 57)/15

| 7 | 5

+ | 1 | 0

| 8 | 5:

(85 - 57)/15

| 7 | 15

| 8 | 5

- | 5 | 7

| 2 | 8:

Answer: 28/15

______________________________________

Simplify the following:

1 + 13/15

Put 1 + 13/15 over the common denominator 15. 1 + 13/15 = 15/15 + 13/15:

15/15 + 13/15

15/15 + 13/15 = (15 + 13)/15:

(15 + 13)/15

| 1 | 5

+ | 1 | 3

| 2 | 8:

Answer: 28/15