To solve the first equation, we need to combine the fractions on the left side:

1/3x + 1/4x + 1/5x = 1 19/75

Multiplying each term by the least common denominator, which is 60:

20/60x + 15/60x + 12/60x = 1 19/75
(20 + 15 + 12) / 60x = 1 19/75
47/60x = 1 19/75

Converting the mixed number to an improper fraction:

47/60x = 94/75
x = (94/75) / (47/60)
x = (94/75) * (60/47)
x = 5640 / 3525
x = 16/5
x = 3.2

Therefore, x = 3.2 for the first equation.

For the second equation:

41/2:x + 13/4 = 319/28

To find x, we need to isolate it on one side of the equation:

41/2x + 13/4 = 319/28
41/2x = 319/28 - 13/4
41/2x = 319/28 - 91/28
41/2x = 228/28
41/2x = 8 4/7

Multiplying each term by 2 to solve for x:

41x = 120
x = 120/41
x ≈ 2.928

Therefore, x ≈ 2.928 for the second equation.