Download
1 / 15
160 likes | 376 Views
Adding and Subtracting Mixed Numbers. 5-8. Course 1. Warm Up. Problem of the Day. Lesson Presentation. 5-8. Adding and Subtracting Mixed Numbers. 7. 7. 11. 1. 11. 31. 1. 2. 1. 1. 3. 3. __. __. __. __. __. __. __. __. __. __. __. __. 4. 12. 6. 3. 3.
E N D
Adding and Subtracting Mixed Numbers 5-8 Course 1 Warm Up Problem of the Day Lesson Presentation
5-8 Adding and Subtracting Mixed Numbers 7 7 11 1 11 31 1 2 1 1 3 3 __ __ __ __ __ __ __ __ __ __ __ __ 4 12 6 3 3 12 33 2 12 12 12 11 Course 1 Warm Up Add. Write each answer in simplest form. 1. – 2. + 3. + 4.–
5-8 Adding and Subtracting Mixed Numbers 1 11 ___ 1 12 5 __ 1 __ 1 6 6 1 2 1 __ __ __ 1 1 __ 3 12 4 3 Course 1 Problem of the Day The sum of every row, column and diagonal is the same. Complete the magic square. 3 __ 4
5-8 Adding and Subtracting Mixed Numbers Course 1 Learning Goal Assignment Learn to add and subtract mixed numbers with unlike denominators.
5-8 Adding and Subtracting Mixed Numbers 46 40 1 5 5 23 1 6 __ __ __ __ __ __ __ __ 8 48 48 6 24 48 8 6 Course 1 Additional Example 1A: Adding and Subtracting Mixed Numbers Find the sum. Write the answer in simplest form. A. 3 + 1 Multiply the denominators. 8 · 6 = 48 3 3 Write equivalent fractions with a denominator of 48. +1 + 1 ______ ______ Add the fractions and then whole numbers, and simplify. 4 = 4
5-8 Adding and Subtracting Mixed Numbers 10 4 1 1 1 5 1 6 __ __ __ __ __ __ __ __ 4 24 24 6 12 24 4 6 Course 1 Try This: Example 1A Find the sum. Write the answer in simplest form. A. 2 + 3 Multiply the denominators. 4 · 6 = 24 2 2 Write equivalent fractions with a denominator of 24. +3 + 3 ______ ______ Add the fractions and then whole numbers, and simplify. 5 = 5
5-8 Adding and Subtracting Mixed Numbers 2 1 2 3 1 8 5 __ __ __ __ __ __ __ 3 4 12 12 4 3 12 Course 1 Additional Example 1B: Adding and Subtracting Mixed Numbers Find the difference. Write the answer in simplest form. B. 5 – 1 The LCD of the denominators is 12. 5 5 Write equivalent fractions with a denominator of 12. –1 – 1 ______ ______ Subtract the fractions and then the whole numbers. 4
5-8 Adding and Subtracting Mixed Numbers 1 3 1 6 3 7 1 __ __ __ __ __ __ __ 2 7 14 14 7 2 14 Course 1 Try This: Example 1B Find the difference. Write the answer in simplest form. B. 4 – 1 4 4 The LCD of the denominators is 14. Write equivalent fractions with a denominator of 14. –1 – 1 ______ ______ Subtract the fractions and then the whole numbers. 3
5-8 Adding and Subtracting Mixed Numbers 4 1 3 13 8 1 4 13 5 3 __ __ __ __ __ __ __ __ __ __ 2 10 10 10 10 10 5 2 5 10 Course 1 Additional Example 1C: Adding and Subtracting Mixed Numbers Find the sum. Write the answer in simplest form. C. 2 + 4 The LCD of the denominators is 10. 2 2 Write equivalent fractions with a denominator of 10. +4 + 4 ______ ______ Add the fractions and then the whole numbers. 6 = 7 6 = 6 + 1
5-8 Adding and Subtracting Mixed Numbers 2 7 13 37 16 7 2 37 21 13 __ __ __ __ __ __ __ __ __ __ 8 24 24 24 24 24 3 8 3 24 Course 1 Try This: Example 1C Find the sum. Write the answer in simplest form. C. 2 + 4 2 2 The LCD of the denominators is 24. Write equivalent fractions with a denominator of 24. +4 + 4 ______ ______ Add the fractions and then the whole numbers. 6 = 7 6 = 6 + 1
5-8 Adding and Subtracting Mixed Numbers 2 2 2 2 2 6 4 __ __ __ __ __ __ __ 3 9 9 9 9 3 9 Course 1 Additional Example 1D: Adding and Subtracting Mixed Numbers Find the difference. Write the answer in simplest form. D. 6 – 3 Think: 9 is a multiple of 3, so 9 is the LCD. 6 6 Write equivalent fractions with a denominator of 9. –3 – 3 ______ ______ Subtract the fractions and then the whole numbers. 3
5-8 Adding and Subtracting Mixed Numbers 3 1 3 1 1 6 5 __ __ __ __ __ __ __ 4 8 8 8 8 4 8 Course 1 Try This: Example 1D Find the difference. Write the answer in simplest form. D. 7 – 2 Think: 8 is a multiple of 4, so 8 is the LCD. 7 7 Write equivalent fractions with a denominator of 8. –2 – 2 ______ ______ Subtract the fractions and then the whole numbers. 5
5-8 Adding and Subtracting Mixed Numbers 1 3 1 3 1 1 1 2 1 1 __ __ __ __ __ __ __ __ __ __ 4 8 4 8 8 8 8 8 8 4 Course 1 Additional Example 2: Measurement Application The length of Jen’s kitten’s body is 10 inches. Its tail is 5 inches long. What is the total length of its body and tail? Add 10 + 5 Find a common denominator. Write equivalent fractions with the LCD, 8, as the denominator. 10 10 +5 + 5 ______ ______ Add the fractions and then the whole numbers. 15 The total length of the kitten’s body and tail is 15 inches. Helpful Hint You can use mental math to find an LCD. Think: 8 is a multiple of 4 and 8.
5-8 Adding and Subtracting Mixed Numbers 4 1 1 2 5 5 1 2 1 2 __ __ __ __ __ __ __ __ __ __ 6 6 3 6 3 6 6 3 6 6 Course 1 Try This: Example 2 The length of Regina’s mouse’s body is 2 inches. Its tail is 2 inches long. What is the total length of its body and tail? Add 2 +2 Find a common denominator. Write equivalent fractions with the LCD, 6, as the denominator. 2 2 +2 + 2 ______ ______ Add the fractions and then the whole numbers. 4 The total length of the mouse’s body and tail is 4 inches.
5-8 Adding and Subtracting Mixed Numbers 7 1 5 7 13 6 3 8 16 __ __ __ __ __ 24 30 4 12 40 Course 1 Lesson Quiz Find each sum or difference. Write the answer in simplest form. 1. 7 – 4 2. 9 + 7 3. 6 + 1 4. 10 – 4 5. Miles worked 5 hours on Friday and 8 hours on Saturday. How many total hours did he work? 11 2 1 3 __ __ __ __ 3 6 12 8 7 3 2 1 __ __ __ __ 5 8 10 6 3 2 __ __ 3 4 14 hours
