Invert the fraction you wish to eliminate. The inverse of a fraction is the fraction flipped upside down.
For example, in the equation 1/2x + 5 = 9, the inverse of 1/2 is 2/1 or 2.
Multiply the numerator of the inverted fraction by the number you wish the original fraction to become, if you wish the number to be an integer other than 1.
For example, if you wish for the fraction 1/2 to become 2 instead of 1, multiply the numerator of the inverted fraction 2/1 by 2. This will give you the new fraction 4/1, or 4.
Multiply the whole equation by the inverted fraction. To do this, you must multiply the inverted fraction by each term on both sides of the equation.
For example, 4(1/2x + 5 = 9) = 4(1/2x) + 4(5) = 4(9). This resolves to 2x + 20 = 36. Notice that the fraction 1/2 is now the integer 2, making the equation easier to solve.