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Subtracting whole numbers and fractions1/13/2024 Example 2:Īdd the numerators and place the sum over the common denominator, 7.Īdd the numerators and place the sum over the common denominator, 9. Let's look at some examples of adding fractions using this procedure. Procedure: To add two or more fractions that have the same denominators, add the numerators and place the resulting sum over the common denominator. This leads us to the following procedure for adding fractions with a common denominator. If the denominators were not common, you could not add these fractions. These fractions have a common denominator (the denominators are the same). That is, they must have a common denominator. In order to add fractions, the denominators must be the same. For example, in the fraction five-eighths, the unit is eighths and there are 5 of them. The numerator indicates how many there are. The denominator of a fraction names the unit. The problem from example 1 is written using mathematical notation below: So we need an arithmetic procedure for adding fractions. It is not always practical to draw a number line. This is illustrated on the number line below. The denominator of a fraction names what we are counting. Solution: "5 eighths + 2 eighths = 7 eighths." Since both fractions have the same units, we can add them together. In each of these fractions, the unit is the denominator, eighths. If Jenny ate five slices and Eric ate two slices, then what part of the pizza did they eat altogether?Īnalysis: Jenny ate "5 eighths" of the pizza and Eric ate "2 eighths". Look at example 1 below.Įxample 1: A pizza was divided into eight equal parts (slices). Therefore, 4 tenths + 5 tenths = 9 tenths. For example, in the fraction "4 tenths", the unit is the denominator, tenths. In the name of a fraction, the unit is the denominator. Similarly, we cannot add quarters and nickels unless we call them "cents". We cannot add apples and oranges unless we call them "fruits". For example, look at the items being added below. To add or subtract items, the units must be the same.
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