To solve the equations:

1) x - 3/3 = 27/4

First, simplify the equation by dividing both sides by 3:

x - 1 = 27/4

Next, add 1 to both sides to isolate x:

x = 27/4 + 1

To add the fractions, find a common denominator:

x = 27/4 + 4/4

Combine the fractions:

x = 31/4

Therefore, x = 31/4.

2) 3 * 4 / 8 / 5 = 0.25 / x

First, simplify the equation by dividing both sides by 0.25:

12 / 8 / 5 = 1 / x

Next, simplify the left side of the equation:

1.5 / 5 = 1 / x

To get rid of the fraction on the left side, multiply both sides by 5:

1.5 = 5 / x

To isolate x, divide both sides by 1.5:

x = 5 / 1.5

To divide by a fraction, multiply by its reciprocal:

x = 5 * 2/3

Multiply the numbers:

x = 10/3

Therefore, x = 10/3.

3) 2x * 3 / 24 = 3x - 1 / 32

First, simplify the equation by multiplying both sides by 24:

2x * 3 = 3x - 1 / 32 * 24

Simplify the right side:

6x = (3x - 1) * 24 / 32

Multiply the numbers:

6x = (3x - 1) * 3/4

Expand the right side:

6x = 9x/4 - 3/4

To get rid of the fractions, multiply both sides by 4:

24x = 9x - 3

Subtract 9x from both sides:

15x = -3

Divide both sides by 15:

x = -3/15

Simplify the fraction:

x = -1/5

Therefore, x = -1/5.

4) 13x - 2 / 5 = 76 / 17

First, simplify the equation by multiplying both sides by 5:

13x - 2 = 76 / 17 * 5

Simplify the right side:

13x - 2 = 380 / 17

To get rid of the fraction, multiply both sides by 17:

17(13x - 2) = 380

Expand the left side:

221x - 34 = 380

Add 34 to both sides:

221x = 414

Divide both sides by 221:

x = 414 / 221

Simplify the fraction:

x = 6/7

Therefore, x = 6/7.