Write out the equation. For example, you might have 3/4x = 6.
Write the reciprocal of the fraction that is attached to the variable with a set of parentheses on each side of the equation. In this example, the reciprocal of 3/4 is 4/3. The equation would look like this: 3/4x (4/3) = 6 (4/3)
Multiply the numerators and denominators of the fractions on both sides of the equation. If you have a whole number, turn it into a fraction by placing it over the number 1. In this example, you would multiply 3/4 and 4/3 to get 12/12 on the left side of the equation and 6/1 times 4/3 to get 24/3 on the right side of the equation.
Simplify both sides to find the solution. On the left side of this equation, 12 divides into 12 once to give you a simplified 1x. If you have a 1 next to a variable, you only need to write the variable, so 1 x would just be "x." On the right side of the equation, 3 divides into 24 an even 8 times. Therefore the solution would be x = 8.