McGraw-Hill Education GRE Premium, 2015 Edition by Erfun Geula

Author:Erfun Geula
Language: eng
Format: epub
Publisher: McGraw-Hill Education
Published: 2014-09-14T16:00:00+00:00

Skills Check: Improper Fractions

Write each of the following as an improper fraction. See the end of this section for the answers.

Adding and Subtracting Fractions

When adding or subtracting fractions, your goal is to manipulate the fractions to have the same denominator. If you are asked to solve for + , the answer would be since you are adding 1 slice of a 4-slice pie to 2 slices of a 4-slice pie. You will end up with 3 slices of a 4-slice pie, which means you will have .

However, addition and subtraction of fractions will not always be so straightforward. Sometimes the fractions you are adding or subtracting will have different denominators, for example, – = ?. When adding or subtracting fractions with different denominators, you must first find a common denominator. To do so, find the smallest number that is a multiple of both denominators. In this case, the smallest number that is a multiple of 3 and 4 is 12. Now you need to manipulate both fractions to have a denominator of 12. To do so, you will multiply.

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