Question

2/5×-3/7-1/6×3/2+1/14×2/5​

Answer 1

Answer:

your answer is -11/28.

Answer 2

Answer:

-11/28

Step-by-step explanation:

Simplify the following:

2/5×(-3)/7 - 1/6×3/2 + (2/5)/14

2/5×(-3)/7 = (2 (-3))/(5×7):

(2 (-3))/(5×7) - 1/6×3/2 + (2/5)/14

(-1)/6×3/2 = (-3)/(6×2):

(2 (-3))/(5×7) + (-3)/(6×2) + (2/5)/14

1/14×2/5 = 2/(14×5):

(2 (-3))/(5×7) - 3/(6×2) + 2/(14×5)

3/6 = 3/(3×2) = 1/2:

(2 (-3))/(5×7) - 1/(2×2) + 2/(14×5)

2/14 = 2/(2×7) = 1/7:

(2 (-3))/(5×7) - 1/(2×2) + 1/(7×5)

5×7 = 35:

(2 (-3))/35 - 1/(2×2) + 1/(7×5)

2×2 = 4:

(2 (-3))/35 - 1/4 + 1/(7×5)

2 (-3) = -6:

(-6)/35 - 1/4 + 1/(7×5)

7×5 = 35:

(-6)/35 - 1/4 + 1/35

Put (-6)/35 - 1/4 + 1/35 over the common denominator 140. (-6)/35 - 1/4 + 1/35 = (4 (-6))/140 - 35/140 + 4/140:

(4 (-6))/140 - 35/140 + 4/140

4 (-6) = -24:

(-24)/140 - 35/140 + 4/140

-24/140 - 35/140 + 4/140 = (-24 - 35 + 4)/140:

(-24 - 35 + 4)/140

-24 - 35 + 4 = 4 - (24 + 35):

(4 - (24 + 35))/140

| 3 | 5

+ | 2 | 4

| 5 | 9:

(4 - 59)/140

4 - 59 = -(59 - 4):

(-(59 - 4))/140

| 5 | 9

- | | 4

| 5 | 5:

(-55)/140

The gcd of 55 and 140 is 5, so (-55)/140 = (-(5×11))/(5×28) = 5/5×(-11)/28 = (-11)/28:

Answer: (-11)/28