X:2 13/36= 27/85 : 1/4

To solve this equation, we need to simplify and compare the two expressions.

First, let's convert the mixed number to an improper fraction: x = 2 13/36 = (36 * 2 + 13) / 36 = 85/36

Now let's compare the two expressions: 85/36 ?= 27/85 : 1/4

To compare fractions, we can cross multiply: Cross multiply the first fraction with the second fraction: (85/36) * (1/4) = (85 * 1) / (36 * 4) = 85/144

Now we can compare the two fractions: 85/144 ?= 27/85

To compare the fractions, we can cross multiply again: (85/144) * (85/27) = (85 * 85) / (144 * 27) = 7225/3888

Finally, we can compare the resulting fractions: 7225/3888 = 27/85

Therefore, the equation is true: x = 2 is a valid solution for 13/36 = 27/85 : 1/4.