c) 7 15 7 15 Ask yourself, “Is So, YOU TRY 2 Add. a) 8 11 , 1 15 7 15 , and 1 15 2 11 2 15 are like fractions, so add the numerators and use the denominator 15. 2 15 7 1 2 10 15 1 15 2 15 b) 15 in lowest terms?” No! We must write it in lowest terms. 10 15 1 8 5 8 10 15 Add the numerators, and keep the denominator the same. 10 15 2 3 . c) 10 5 15 5 5 12 7 12 2 3 11 12 1) We can add fractions only if they are like fractions. 2) Always look at the sum and ask yourself, “Is it in lowest terms?” If it is not, write it in lowest terms. 3 Subtract Like Fractions Now, we will learn how to subtract fractions. Let’s start with rectangles divided into sixths to fi nd the difference 5 6 4 6 . of the rectangle is still shaded 1 6 of the rectangle is shaded 5 6 Unshade 4 of the rectangle 6 4 6 5 6 1 2 5 6 To use a number line to fi nd 5 6 4 6 , start at 0 and move 5 6 unit to the right to reach 5 6 . To subtract 4 6 , move 4 6 unit to the left. We fi nish at 1 6 . 62 5 4 6 5 1 6 0 4 1 6 3 6 2 6 1 6 5 6 62 5 4 6 5 1 6 (or 6) 6 Notice that 5 6 and 4 6 are like fractions. They have the same denominator. www.mhhe.com/messersmith SECTION 4.1 Adding and Subtracting Like Fractions 225
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