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Course Adding and Subtracting Mixed Numbers 5-3 Adding and Subtracting Mixed Numbers Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

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Course Adding and Subtracting Mixed Numbers Warm Up Add or subtract. Write each answer in simplest form. 1. – – 7 12 __ __ __ __ __ __ 7 12 __

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Course Adding and Subtracting Mixed Numbers Problem of the Day The sum of every row, column and diagonal is the same. Complete the magic square __ ___ __ __

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Course Adding and Subtracting Mixed Numbers Learn to add and subtract mixed numbers with unlike denominators.

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Course Adding and Subtracting Mixed Numbers Additional Example 1A: Adding and Subtracting Mixed Numbers Find the sum. Write the answer in simplest form. 1 8 __ __ Multiply the denominators. 8 · 6 = __ __ ______ Write equivalent fractions with a denominator of = __ __ Add the fractions and then whole numbers, and simplify

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Course Adding and Subtracting Mixed Numbers Additional Example 1B: Adding and Subtracting Mixed Numbers Find the difference. Write the answer in simplest form. 2 3 __ __ The LCD of 3 and 12 is 12. –1 1 4 __ – __ ______ Write equivalent fractions with a denominator of __ Subtract the fractions and then the whole numbers. 5 – 1

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Course Adding and Subtracting Mixed Numbers Additional Example 1C: Adding and Subtracting Mixed Numbers Find the sum. Write the answer in simplest form. 1 2 __ __ The LCD of 2 and 10 is __ __ ______ Write equivalent fractions with a denominator of = __ 3 10 __ Add the fractions and then the whole numbers, and simplify. 6 = __ 3 10 __ 2 + 4

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Course Adding and Subtracting Mixed Numbers Additional Example 1D: Adding and Subtracting Mixed Numbers Find the difference. Write the answer in simplest form. 2 3 __ Think: 9 is a multiple of 3, so 9 is the LCD. –3 2 9 __ – __ ______ Write equivalent fractions with a denominator of __ Subtract the fractions and then the whole numbers. 6 – 3

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Course Adding and Subtracting Mixed Numbers Check It Out: Example 1A Find the sum. Write the answer in simplest form. 1 4 __ __ Multiply the denominators. 4 · 6 = __ __ ______ Write equivalent fractions with a denominator of = __ 5 12 __ Add the fractions and then whole numbers, and simplify

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

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Course Adding and Subtracting Mixed Numbers Check It Out: Example 1C Find the sum. Write the answer in simplest form. 7 8 __ __ The LCD of the denominators is __ __ ______ Write equivalent fractions with a denominator of = __ __ Add the fractions and then the whole numbers, and simplify. 6 = __ __ 2 + 4

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

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Course Adding and Subtracting Mixed Numbers Additional Example 2: Measurement Application The length of Jens kittens body is 10 inches. Its tail is 5 inches long. What is the total length of its body and tail? 1 4 __ __ __ Find a common denominator. Write equivalent fractions with the LCD, 8, as the denominator __ __ ______ Add the fractions and then the whole numbers __ The total length of the kittens body and tail is 15 inches. You can use mental math to find an LCD. Think: 8 is a multiple of 4 and 8. Helpful Hint 3 8 __ Add

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Course Adding and Subtracting Mixed Numbers Check It Out: Example 2 The length of Reginas mouses body is 2 inches. Its tail is 2 inches long. What is the total length of its body and tail? 2 3 __ Find a common denominator. Write equivalent fractions with the LCD, 6, as the denominator __ __ ______ Add the fractions and then the whole numbers __ The total length of the mouses body and tail is 4 inches. 5 6 __ Add 2 +2.

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Course Adding and Subtracting Mixed Numbers Lesson Quiz Find each sum or difference. Write the answer in simplest form – – 4 5. Miles worked 5 hours on Friday and 8 hours on Saturday. How many total hours did he work? __ __ __ __ __ 14 hours 5 12 __

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