When performing sum operations on fractions it is always a bottom-up process. We have to make sure the denominators (bottoms) match, then we can move to the basic arithmetic for the numerators (tops). In this case all the denominators are already in the format that you need them in. You can't work through something this simple that quickly because you will get your numerators and denominators tripped up.

What are like fractions, and how do you find their sum? Understanding the difference between like and unlike sums is one of the most important parts of mathematic. These are numerical quantities that are not whole numbers. It is a number that represents a part of the whole. There are two types of fractions; proper and improper. Proper are those where the denominator is larger than the numerator, and their value in decimals is between 0 and 1. Improper are those where the value of denominator is less than the value of numerator, and the value of these fractions in decimals is greater than 1. In both proper and improper fractions, there are two sub-divisions, and these include like and unlike. Like fractions are those that have the same denominator such as ½ - ⅗ - ⅐ - so on and so forth. These are the easiest to sum; here is how you can do that. Consider an example where you have to add two fractions; ⅗ + ⅕ As here the denominator is same, you simple have to take ⅕ common and add 3 and 1. ⅕ (3 + 1) = ⅕ (4) = ⅘ It is that simple! These worksheets explain how to add fractions with like and unlike denominators. Students will convert fractions so that denominators are equal, then reduce the sum to another fraction or mixed number (if necessary).