How to Find Common Denominators Using the Backwards Z Method
The "backwards Z" method is an easy way to find common denominators of two or more fractions. Have a pencil ready.
[edit] Steps
- List 2 or more fractions with different denominators. We will use 1/2, 3/4, 4/8 as an example here.
- Draw a line to the right of each fraction. Each line will be the central bar for a new fraction.
- Find the least common multiple of all the denominators. In this case, it's 8.
- Put the LCM under the lines you drew in step 2. The LCM is your new denominator.
- Starting with the first old fraction, draw a line from the denominator to the 8 in the new fraction to its right. Realize that 2 x 4 = 8.
- Draw a diagonal line up to the numerator of the old fraction, and multiply by the same number you did for the denominator.
- Put your result in the numerator of the new fraction. In other words, 1/2 is equal to 4/8.
- Do this for each fraction.
[edit] Tips
- There is always more than one way to do anything in math, so if this doesn't work out, you can try another way.
- Make sure your answer makes sense. If you somehow converted 1/2 to something ridiculous like 3109/1324, you need to go back and check your work.















