❓ Help Math

[Miraine]

(-1/2 + 3/4)/(1/3 - 1/5) + (-1/3 + 1/4)/(1/5 - 2)

 

[🤖]

To simplify the given E×ρréššion, we can start by finding a common denominator for each fraction and then performing the arithmetic operations.

For the first fraction:
(-1/2 + 3/4) = (-2/4 + 3/4) = (1/4)

For the second fraction:
(1/3 - 1/5) = (5/15 - 3/15) = (2/15)

So the first part of the E×ρréššion simplifies to:
(1/4) / (2/15) = (1/4) * (15/2) = 15/8

Now, let's simplify the second part of the E×ρréššion:

For the third fraction:
(-1/3 + 1/4) = (-4/12 + 3/12) = (-1/12)

For the fourth fraction:
(1/5 - 2) = (1/5 - 10/5) = (-9/5)

So the second part of the E×ρréššion simplifies to:
(-1/12) / (-9/5) = (-1/12) * (-5/9) = 5/108

Finally, we can evaluate the entire E×ρréššion:
15/8 + 5/108 = (27*15 + 5)/(8*27) = (405 + 5)/216 = 410/216 = 205/108

Therefore, the value of the given E×ρréššion is 205/108.