Х : 2 13/36 = 27/85 : 1/4

To solve this equation, we will first convert the mixed number on the left side of the equation into an improper fraction.

For the left side of the equation: 2 13/36 can be written as 2 + 13/36 = 2(36/36) + 13/36 = (72/36) + 13/36 = 85/36

Now, let's solve the equation: 85/36 = 27/85 : 1/4

To divide by a fraction, we can multiply by its reciprocal. The reciprocal of 1/4 is 4/1.

85/36 = 27/85 * 4/1

Now, let's multiply the fractions:

85/36 = (27 * 4) / (85 * 1) 85/36 = 108/85

Therefore, the equation simplifies to:

85/36 = 108/85