How do you find a common denominator?

http://www.helpwithfractions.com/least-common-denominator.html

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To find a common denominator, you need to find the smallest number that is divisible by all the denominators of the fractions involved. Here's a step-by-step process to find a common denominator:

1. Identify the denominators: Look at the fractions you have and determine the denominators of each fraction.

2. Identify the prime factors: Break down each denominator into its prime factors. For example, if you have fractions with denominators 6 and 8, the prime factors of 6 are 2 and 3, while the prime factors of 8 are 2 and 2.

3. Find the highest powers: Identify the highest power of each prime factor among all the denominators. In our example, the highest power of 2 is found in the denominator 8 (2^3), while the highest power of 3 is found in the denominator 6 (3^1).

4. Multiply the highest powers: Multiply the highest powers of each prime factor together. In our example, you would multiply 2^3 and 3^1 together: 2^3 * 3^1 = 8 * 3 = 24.

5. The resulting number is the common denominator: The product you obtained in step 4 is the common denominator. In our example, the common denominator is 24.

So, to find a common denominator, you have to break down the denominators into prime factors, identify the highest powers of each prime factor, and multiply those highest powers together to obtain the common denominator.