| Problem: | (1⁄6) + (3⁄10) |
| 1a. List multiples of the first denominator: | 6, 12, 18, 24, 30, 36, ... |
| 1b. List multiples of the second denominator: | 10, 20, 30, 40, 50, 60, ... |
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1c. The common denominator is the least common multiple: (the first number that is in both lists) |
6, 12, 18, 24, 30, 3610, 20, 30, 40, 50, 60 |
| 2. Convert the first fraction to a fraction having the common denominator: | 1⁄6 = 1⁄6 * 5⁄5 = 5⁄30 |
| 3. Convert the second fraction to a fraction having the common denominator: | 3⁄10 = 3⁄10 * 3⁄3 = 9⁄30 |
| 4. Add: | 5⁄30 + 9⁄30 = 14⁄30. |
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