6, 12, 18
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To add one third and one half, you'll want a common denominator. In this case, it's 6.
When you want to add fractions that have different denominators, you have to convert them into fractions that do have the same denominators. So for example, how much is a half plus a third? Both of these can be converted into sixths, so one half equals three sixths, and one third equals two sixths. Three sixths plus two sixths equals five sixths. That's the answer. If you have three fractions with different denominators, the procedure is the same. Convert all three into fractions with the same denominators, then add them.
3/4 Because a half (½) and a quarter (¼) have different denominators, to add them you find need to find their least common denominator. Fortunately that's easy because 2 is a factor of 4. A half is equivalent to two quarters; adding a third quarter gives a total of ¾.
Equivalent fractions must have equal denominators, and this is done by setting the denominators of both fractions to their smallest common multiple. So, say a person wants to compare two thirds and one half, they would set both denominators to six. Two thirds would become four sixths and one half would become three sixths. Thus, two thirds is bigger than one half.
To find the least common denominator of 1/3 and 1/4, we need to determine the smallest multiple that both denominators (3 and 4) have in common. The least common denominator is the least common multiple (LCM) of the denominators. The LCM of 3 and 4 is 12, so the least common denominator of 1/3 and 1/4 is 12.