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**5-3 Adding and Subtracting Mixed Numbers Warm Up Problem of the Day**

Course 1 Warm Up Problem of the Day Lesson Presentation

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**Add or subtract. Write each answer in simplest form.**

Warm Up Add or subtract. Write each answer in simplest form. – – 7 12 __ 1 2 __ 1 12 __ 3 11 __ 2 3 __ 31 33 __ 1 6 __ 3 4 __ 11 12 __ 11 12 __ 1 3 __ 7 12 __

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**Problem of the Day The sum of every row, column and diagonal is**

the same. Complete the magic square. 1 __ 3 1 3 __ 11 12 ___ 4 1 6 __ 5 6 __ 12 1 __ 2 3 __ 1 4 __

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**Learn to add and subtract mixed numbers with unlike denominators.**

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**Additional Example 1A: Adding and Subtracting Mixed Numbers**

Find the sum. Write the answer in simplest form. 1 8 __ 5 6 __ 1 8 __ 6 48 __ Multiply the denominators · 6 = 48 3 3 5 6 __ 40 48 __ Write equivalent fractions with a denominator of 48. +1 + 1 ______ ______ 46 48 __ 23 24 __ Add the fractions and then whole numbers, and simplify. = 4

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**Additional Example 1B: Adding and Subtracting Mixed Numbers**

Find the difference. Write the answer in simplest form. 2 3 __ 1 4 __ 5 – 1 2 3 __ 8 12 __ The LCD of 3 and 12 is 12. 5 5 1 4 __ 3 12 __ Write equivalent fractions with a denominator of 12. –1 – 1 ______ ______ 5 12 __ Subtract the fractions and then the whole numbers. 4

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**Additional Example 1C: Adding and Subtracting Mixed Numbers**

Find the sum. Write the answer in simplest form. 1 2 __ 4 5 __ 1 2 __ 5 10 __ 2 2 The LCD of 2 and 10 is 10. 4 5 __ 8 10 __ Write equivalent fractions with a denominator of 10. +4 + 4 ______ ______ 13 10 __ 3 10 __ Add the fractions and then the whole numbers, and simplify. = 7 13 10 __ 3 10 __ 6 = 6 + 1

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**Additional Example 1D: Adding and Subtracting Mixed Numbers**

Find the difference. Write the answer in simplest form. 2 3 __ 2 9 __ 6 – 3 2 3 __ 6 9 __ Think: 9 is a multiple of 3, so 9 is the LCD. 6 6 2 9 __ 2 9 __ Write equivalent fractions with a denominator of 9. –3 – 3 ______ ______ 4 9 __ 3 Subtract the fractions and then the whole numbers.

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Check It Out: Example 1A Find the sum. Write the answer in simplest form. 1 4 __ 1 6 __ 1 4 __ 6 24 __ Multiply the denominators · 6 = 24 2 2 1 6 __ 4 24 __ Write equivalent fractions with a denominator of 24. +3 + 3 ______ ______ 10 24 __ 5 12 __ Add the fractions and then whole numbers, and simplify. = 5

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Check It Out: Example 1B Find the difference. Write the answer in simplest form. 1 2 __ 3 7 __ – 1 1 2 __ 7 14 __ 4 4 The LCD of 2 and 7 is 14. 3 7 __ 6 14 __ Write equivalent fractions with a denominator of 14. –1 – 1 ______ ______ 1 14 __ Subtract the fractions and then the whole numbers. 3

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Check It Out: Example 1C Find the sum. Write the answer in simplest form. 7 8 __ 2 3 __ 7 8 __ 21 24 __ 2 2 The LCD of the denominators is 24. 2 3 __ 16 24 __ Write equivalent fractions with a denominator of 24. +4 + 4 ______ ______ 37 24 __ 13 24 __ Add the fractions and then the whole numbers, and simplify. = 7 6 = 6 + 1 37 24 __ 13

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Check It Out: Example 1D Find the difference. Write the answer in simplest form. 3 4 __ 1 8 __ – 2 Think: 8 is a multiple of 4, so 8 is the LCD. 3 4 __ 6 8 __ 7 7 Write equivalent fractions with a denominator of 8. 1 8 __ 1 8 __ –2 – 2 ______ ______ 5 8 __ Subtract the fractions and then the whole numbers. 5

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**Additional Example 2: Measurement Application**

The length of Jen’s kitten’s body is inches. Its tail is 5 inches long. What is the total length of its body and tail? 1 4 __ 1 8 __ 1 4 __ 1 8 __ Add Find a common denominator. Write equivalent fractions with the LCD, 8, as the denominator. 1 4 __ 2 8 __ 10 10 1 8 __ 1 8 __ +5 + 5 ______ ______ Add the fractions and then the whole numbers. 3 8 __ 15 3 8 __ The total length of the kitten’s body and tail is inches. Helpful Hint You can use mental math to find an LCD. Think: 8 is a multiple of 4 and 8.

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Check It Out: Example 2 The length of Regina’s mouse’s body is inches. Its tail is 2 inches long. What is the total length of its body and tail? 2 3 __ 1 6 __ 2 3 __ 1 6 __ Add Find a common denominator. Write equivalent fractions with the LCD, 6, as the denominator. 2 3 __ 4 6 __ 2 2 1 6 __ 1 6 __ +2 + 2 ______ ______ 5 6 __ Add the fractions and then the whole numbers. 4 5 6 __ The total length of the mouse’s body and tail is inches.

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Lesson Quiz Find each sum or difference. Write the answer in simplest form. – – 4 5. Miles worked hours on Friday and hours on Saturday. How many total hours did he work? 3 1 4 __ 16 13 24 __ __ 11 __ 2 __ 1 __ 3 12 3 6 8 __ 7 __ 3 8 7 40 __ __ 2 1 6 7 30 __ __ 8 10 5 6 3 __ __ 2 4 3 5 12 __ 14 hours

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Learning Objectives In the starter activity Pupils should be able to revise what they have in previous lessons By the end of this lesson Pupils should.

Learning Objectives In the starter activity Pupils should be able to revise what they have in previous lessons By the end of this lesson Pupils should.

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