You firstly find the lowest common denominator (bottom number of the fraction) and convert the fractions to this, e.g. 1/3 + 1/6 = 2/6 + 1/6 The next step is to simply add the numerators (top number of the fraction: e.g. 2/6 + 1/6 = 3/6 Finally you should tidy the fraction up by reducing it to its lowest form by dividing the denominator and numerators by the same number e.g. divide by 3 - 3/6 = 1/2
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Common Denominator means that the denominators in two (or more) fractions are common, or the same. The common denominator is important because before you can add or subtract fractions, the fractions need to have a common denominator.Sometimes fractions have different denominators, like 2/3 and 3/4. If you want to add or subtract them, they need to have the same denominator. In order to do that, you find a common denominator which is the same thing as a common multiple, only with denominators.
To find the sum of two mixed numbers, turn the mixed numbers into improper fractions (multiply the base with the denominator and add the numerator), then add the two fractions. To add the two fractions, find the LCD (lowest common denominator) and add the two numerators, but leave the denominators the same.
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Halfway between two fractions would be the average of the two fractions, so add the two fractions together and divide by two! Let's take 1/2 and 3/4 as an example. Add 1/2 (or 2/4) and 3/4 and you get 5/4. Now divide by two ( or multiply the bottom part by two) and your answer is 5/8!
Add them together, then divide by 2.