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Subtracting Mixed Numbers with Renaming Group Members Mr. Pulley Step 1 • Write the problem vertically. 5½ - 2¾ _________ Step 2 • Find the LCD for each denominator. Rename ½ to 2/4 and ¾ to ¾. 5½ 5 2/4 - 2¾ -2¾ ______ ______ Find the LCD of 2 and 4. 2 = 2, 4, 6 4 = 4, 8, 12 The LCD = 4 Step 3 • Can you subtract the numerators the way they are now? • NO! • Rename in order to subtract. • Borrow from the 5---make it a 4. • Take away 1 from the whole number 5, and add 1 whole to 2/4. • How do you do this? What is your denominator? 4 • What is one whole of 4? 4/4=1 whole • Rename 2/4 to 6/4 • 5 2/4 -2¾ _______ 4 2/4 -2¾ _______ • 4 2/4 + 4/4= 4 6/4 -2 ¾ -2¾ _______ _______ Step 4 • First subtract the numerators and then you can subtract the whole numbers. - 4 6/4 2¾ Notice: the bottom mixed number stays the same ______________ 2¾ • What is the difference? 2 ¾ Your Turn! • Solve the following word problem using the steps you learned. 1. It usually takes Mr. Pulley 1 ¾ hours to get to the beach. Due to Independence Day traffic, this summer it took 3 1/3 hours. How much longer did it take this summer?