Question

2/-7+4/8+(-3/4) simplify the following​

Answer 1

Step-by-step explanation:

Simplify the following:

2/(-7) + 4/8 - 3/4

The gcd of 4 and 8 is 4, so 4/8 = (4×1)/(4×2) = 4/4×1/2 = 1/2:

2/(-7) + 1/2 - 3/4

Multiply numerator and denominator of 2/(-7) by -1:

(-2)/7 + 1/2 - 3/4

Put (-2)/7 + 1/2 - 3/4 over the common denominator 28. (-2)/7 + 1/2 - 3/4 = (4 (-2))/28 + 14/28 + (7 (-3))/28:

(4 (-2))/28 + 14/28 + (7 (-3))/28

4 (-2) = -8:

(-8)/28 + 14/28 + (7 (-3))/28

7 (-3) = -21:

(-8)/28 + 14/28 + (-21)/28

-8/28 + 14/28 - 21/28 = (-8 + 14 - 21)/28:

(-8 + 14 - 21)/28

-8 + 14 - 21 = 14 - (8 + 21):

(14 - (8 + 21))/28

8 + 21 = 29:

(14 - 29)/28

14 - 29 = -(29 - 14):

(-(29 - 14))/28

| 2 | 9

- | 1 | 4

| 1 | 5:

Answer: |

| (-15)/28