Step 1: Write down the LCD of 1 1 and 2 5 . LCD 5 Step 2: Rewrite each fraction with the LCD. 1 1 5 5 5 5 2 5 is already written with the LCD. Step 3: Subtract. Equivalent fractions 1 2 5 1 1 2 5 5 5 2 5 3 5 Write 1 with a denominator of 1. Step 4: Ask yourself, “Is 3 5 in lowest terms?” Yes. YOU TRY 7 Add or subtract by fi rst changing the natural number to an improper fraction. a) 4 2 3 b) 1 5 8 Note In algebra, it is very important to understand how to add and subtract in this way. Many applications involve adding and subtracting fractions. 5 Solve Applied Problems Involving Adding and Subtracting Fractions Mariah has a piece of craft wire that is 7 8 ft long. She cuts off a piece that is 2 3 ft long to make an ornament. How much wire remains? Solution Step 1: Read the problem carefully, and restate it in your own words. A piece of wire is 7 8 ft long, and a piece that is 2 3 ft long is cut off. Determine the amount of wire that remains. EXAMPLE 8 250 CHAPTER 4 Adding and Subtracting Fractions www.mhhe.com/messersmith
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