They didn't. It isn't supposed to add up to one, rather fractional amounts can be formed by adding various combinations of the fractions. If the eguptions needed to represent the value 1, they wouldn't do it with fractions.
1/4 and 1/4
1/15 + 1/15 + 1/15
1/4 + 2/4
1/10+1/10=2/10 which reduces to 1/5
Yes because the fractions add up to 1
1/2 and 2/4 ? If both fractions are in their reduced forms, there can be no solution where the denominators are different.
You can totally add fractions with unlike denominators. You have to first find the LCD (least common denominator) to make them the same denomintars. And then you can just simply add them. What you cannot do is add fractions with unlike denominators without changing them to fractions with like denominators. The reason being that you would be attempting to add fractions that are different sizes. 1/2 is not the same size as 1/3, so it would be like trying to add apples and oranges. You have to change them to a common size and that is the reason you have to find the least common denominator first. While you cannot add 1/2 and 1/3, you can add 3/6 and 2/6.
1/4 and 1/4 adds up to give a half. 1/8 and a 1/8 and another 1/8 and another 1/8 adds up to a half .
one half, one third, and one sixth
1/3 + 2/17
The same way you calculate averages with whole numbers: Add up all the fractions and divide by the number of fractions there are.
Say you have 5 and 1/10 and you have to add 6 and 3/20, you add the whole numbers, (11) and then convert the 10 of 1/10 to 20 (20/10 is 2), then you have to multiply the 1 by 2 to get 2/20 (equivalent fraction of 1/10). Now you can add the fractions, i.e. 4/20 (or simplified, 1/5). Final answer is 11 and 1/5
The answer to this tautological question is: 10.
6 1/2+ 1 5/6
it is just what it sounds like... you take 2 or more fractions and add them. So 1/2 and 1/2 =2/2 or1
Fractions! Otherwise you don't have anything to add.
In fractions, you can NEVER add or subtract
Fractions will need to have the same denominator to add the numerator then reduce the answer as needed to simplest forms. 1/2 + 1/3=3/6 + 2/6=5/6
Change them into mixed numbers and add the integers and fractions together ensuring that the fractions have a common denominator.
If you need to add 1/3 and 1/4, both can be converted into equivalent fractions using 12 as the common denominator. 1/3 is multiplied by 4/4 to get 4/12. 1/4 is multiplied by 3/3 to get 3/12. Add them, 4/12 + 3/12 = 7/12.