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5-3 Adding and Subtracting Mixed Numbers Adding and Subtracting Mixed NumbersCourse 1
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5-3 Adding and Subtracting Mixed Numbers What you will need:* Composition book* Pencil or penCourse 1
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5-3 Adding and Subtracting Mixed Numbers What do you need to do!* You are required to take notes on each lesson in your composition book, just like if we were in class.* On the sample problems you will need to pause to work the problem out, then resume to see it worked out and check your answer.* At the end of each lesson there are a few problems you will need to do in your notes and bring into class.* You will receive a homework grade for taking notes and doing the practice problems.Course 1
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5-3 Adding and Subtracting Mixed Numbers Additional Example 1A: Adding and Subtracting Mixed Numbers Find the sum. Write the answer in simplest form. 1 5 3 __ + 1 __ 8 6Course 1
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5-3 Adding and Subtracting Mixed Numbers Additional Example 1A: Adding and Subtracting Mixed Numbers Find the sum. Write the answer in simplest form. 1 5 3 __ + 1 __ 8 6 1 6 Multiply the denominators. 3 __ 3 __ 8 48 8 · 6 = 48 5 40 +1 __ + 1 __ Write equivalent fractions 6 ______ 48 ______ with a denominator of 48. 46 23 4 __ = 4 __ Add the fractions and then 48 24 whole numbers, and simplify.Course 1
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5-3 Adding and Subtracting Mixed Numbers Additional Example 1B: Adding and Subtracting Mixed Numbers Find the difference. Write the answer in simplest form. 2 1 5 __ – 1 __ 3 4Course 1
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5-3 Adding and Subtracting Mixed Numbers Additional Example 1B: Adding and Subtracting Mixed Numbers Find the difference. Write the answer in simplest form. 2 1 5 __ – 1 __ 3 4 2 8 5 __ 5 __ The LCD of 3 and 12 is 12. 3 12 1 3 –1 __ – 1 __ Write equivalent fractions 4 ______ 12 ______ with a denominator of 12. 5 Subtract the fractions and 4 __ 12 then the whole numbers.Course 1
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5-3 Adding and Subtracting Mixed Numbers Check It Out: Example 1B Find the difference. Write the answer in simplest form. 1 3 4 __ – 1__ 2 7Course 1
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5-3 Adding and Subtracting Mixed Numbers Check It Out: Example 1B Find the difference. Write the answer in simplest form. 1 3 4 __ – 1__ 2 7 1 7 4 __ 4 __ The LCD of 2 and 7 is 14. 2 14 3 6 –1 __ – 1 __ Write equivalent fractions 7 ______ 14 ______ with a denominator of 14. 1 Subtract the fractions and 3 __ 14 then the whole numbers.Course 1
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5-3 Adding and Subtracting Mixed Numbers Check It Out: Example 1C Find the sum. Write the answer in simplest form. 7 __ 2 2 + 4 __ 8 3Course 1
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5-3 Adding and Subtracting Mixed Numbers Check It Out: Example 1C Find the sum. Write the answer in simplest form. 7 __ 2 2 + 4 __ 8 3 7 21 2 __ 2 __ The LCD of the denominators is 8 24 24. 2 16 +4 __ + 4 __ Write equivalent fractions 3 ______ 24 ______ with a denominator of 24. 37 13 Add the fractions and then 6 __ = 7 __ 24 24 the whole numbers, and simplify. 6 37 = 6 + 1 13 __ __ 24 24Course 1
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5-3 Adding and Subtracting Mixed Numbers VIDEO IPAD users can download iswifter app to view the video. It is free. :)Course 1
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5-3 Adding and Subtracting Mixed Numbers Additional Example 2: Measurement Application 1 __ 1 __ The length of Jen’s kitten’s body is 10 inches. Its tail is 5 4 8 inches long. What is the total length of its body and tail? 1 1 Add 10 __ + 5 __ 4 8 Helpful Hint You can use mental math to find an LCD. Think: 8 is a multiple of 4 and 8.Course 1
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5-3 Adding and Subtracting Mixed Numbers Additional Example 2: Measurement Application 1 __ 1 __ The length of Jen’s kitten’s body is 10 inches. Its tail is 5 4 8 inches long. What is the total length of its body and tail? 1 1 Add 10 __ + 5 __ 4 8 1 2 Find a common denominator. Write 10 __ 10 __ equivalent fractions with the LCD, 8, 4 8 1 1 as the denominator. +5 __ + 5 __ 8 ______ 8 ______ 3 Add the fractions and then the 15 __ whole numbers. 8 3 The total length of the kitten’s body and tail is 15 __ inches. 8Course 1
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5-3 Adding and Subtracting Mixed Numbers Lesson Quiz Find each sum or difference. Write the answer in simplest form. 1. 7 11 – 4 __ __ 2 12 3 7 __ 3 __ 2. 6 +1 8 10 3 __ 2 3. Miles worked 5 hours on Friday and 8 __ hours on 4 3 Saturday. How many total hours did he work?Course 1
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