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Mastering Mixed Numbers: Addition and Subtraction with Unlike Denominators

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This lesson focuses on the essential concepts of adding and subtracting mixed numbers, particularly when dealing with unlike denominators. Students will learn about key vocabulary terms such as fractions, mixed numbers, equivalent fractions, and the least common denominator (LCD). Through engaging exercises, they will practice finding the LCD for various pairs of denominators, writing equivalent mixed numbers, and performing addition and subtraction with fractions and whole numbers. Homework assignments reinforce these skills, ensuring a solid understanding of the topic.

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Mastering Mixed Numbers: Addition and Subtraction with Unlike Denominators

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  1. MSM6 Lesson 5-8 Adding and Subtracting Mixed Numbers

  2. Vocabulary • Fraction – A number in the form , where b ≠ 0. • Mixed Number – A number that contains both a whole number greater than 0 and a fraction. • Equivalent Fractions – Fractions that name the same amount or part. • Unlike Fractions – Fractions with different denominators. • Least Common Denominator (LCD) – The least common multiple (LCM) of two or more denominators.

  3. Skills – Retaining Mixed Numbers • Least Common Denominator (Retaining Mixed Number) • Find a least common denominator for 12 and 3 • LCD is 12 • Write equivalent mixed numbers with the LCD. and • Add the fractions • and then the whole numbers. 7 + 3 = 10 • Simplify (if required) the mixed number

  4. Skills – Retaining Mixed Numbers • Least Common Denominator (Retaining Mixed Number) • Find a least common denominator for 4 and 6 • LCD is 12 • Write equivalent mixed numbers with the LCD and • Subtract (Add) the fractions • and then the whole numbers. 3 – 1 = 2. • Simplify (if required) the mixed number.

  5. Homework • (L5-8) Add and Subtract with Unlike Denominators, pp. 246 – 249 • Homework - Online Quia Other Quizzes, MSM6 Lesson 5-8, Add and Subtract with Unlike Denominators, problems 1-6. • OR • Homework – Textbook, Practice and Problem Solving, p. 248, problems 12, 16, 22, 24, 28, and 30.

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