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Subtracting Mixed Numbers with Renaming

Subtracting Mixed Numbers with Renaming

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Subtracting Mixed Numbers with Renaming

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  1. Subtracting Mixed Numbers with Renaming Group MembersMr. Pulley

  2. Step 1 • Write the problem vertically. 5 ½ - 2 ¾ _________

  3. Find the LCD for each denominator. Rename ½ to 2/4 and ¾ to ¾. 5 ½ 5 2/4 - 2 ¾ - 2 ¾ ______ ______ Find the LCD of 2 and 4. 2 = 2, 4, 6 4 = 4, 8, 12 The LCD = 4 Step 2

  4. Step 3 • Can you subtract the numerators the way they are now? • NO! • Rename in order to subtract.

  5. 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 4 2/4 - 2 ¾ - 2 ¾ _______ _______ 4 2/4 + 4/4= 4 6/4 -2 ¾ - 2 ¾ _______ _______

  6. Step 4 • First subtract the numerators and then you can subtract the whole numbers. 4 6/4 - 2 ¾ Notice: the bottom mixed number stays thesame ______________ 2 ¾ • What is the difference? 2 ¾

  7. Your Turn! • Solve the following word problem using the steps you learned. • 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?