Finding the Lowest Common Denominator
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Step 1: See if the smaller denominator divides into the larger denominator with no remainder.
Say we want to add:

Because 9/3 = 3, the lowest common denominator is 9. After that we do:

because 3/3 = 1. Then we replace 1/3 by 3/9 in the problem.

Step 2: If step 1 doesn't work, we use the Euclidean Algorithm to first find the largest divisor of both numbers. Say we add:

using the Euclidean Algorithm, we find that 3 is the largest divisor of 12 and 9. We then follow these steps:
1. Divide the first denominator by 3.

2. Multiple the second fraction by 4/4 because 4 was the answer from the division.

3. Divide the second denominator by 3.

4. Multiple the first fraction by 3/3 because 3 was the answer from the second division.

5. Add the two fractions with the common denominator.


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Adding fractions
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Multiplying a fraction and a whole number
Dividing a fraction and a whole number
What is a reciprocal?
Changing a fraction to a percentage
Changing a percentage to a fraction
Rounding to a whole number
Finding the lowest common denominator
Reducing a fraction
Euclidean Algorithm
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