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, ... 
1c. The common denominator is the least common multiple: (the first number that is in both lists) 
6, 12, 18, 24, 30, 36 10, 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}. 


