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Mixed Numbers to Improper Fractions Conversion

Learn how to convert mixed numbers to improper fractions and vice versa with step-by-step examples.

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Mixed Numbers to Improper Fractions Conversion

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  1. Splash Screen

  2. Five-Minute Check (over Lesson 8–3) Main Idea Example 1: Write a Mixed Number as an Improper Fraction Example 2: Rename a Mixed Number Lesson Menu

  3. I will write mixed numbers as improper fractions. Main Idea/Vocabulary

  4. The average rainfall in Austin, Texas for the month of June is 3 inches. Write 3 inches as an improper fraction. 1 1 2 2 Write a Mixed Number as an Improper Fraction Step 1 To find how many halves are in 3, multiply the whole number, 3, by the denominator, 2. 3 × 2 = 6 Example 1

  5. 1 7 Answer: So, 3 inches = inches. 2 2 Write a Mixed Number as an Improper Fraction Step 2 There is one more half. Add the numerator. (3 × 2) + 1 = 7 Step 3 Write the sum over the original denominator, 2. (3 × 2) + 1 = 7 2 2 Example 1

  6. A B C D 1 Write 4 as an improper fraction. 3 13 A. 3 8 B. 3 4 C. 1 7 D. 3 Example 1

  7. 31 1 1 Answer: So, 6 = . Write 6 as an improper fraction. 5 5 5 Rename a Mixed Number Step 1 Multiply the whole number by the denominator. 6 × 5 = 30 Step 2 Add the numerator. (6 × 5) + 1 = 31 Step 3 Write the sum over the original denominator. (6 × 5) + 1 = 31 5 5 Example 2

  8. Rename a Mixed Number You can check the reasonableness of this answer by using models. Example 2

  9. A B C D 2 Write 7 as an improper fraction. 5 37 A. 5 14 B. 5 7 C. 3 25 D. 7 Example 2

  10. End of the Lesson End Lesson

  11. Five-Minute Check (over Lesson 8–3) Image Bank Math Tool Chest Fractions on a Number Line Resources

  12. A B C D (over Lesson 8–3) Solve. Use logical reasoning. The school marching band has 15 students playing brass instruments, 12 students playing percussion instruments, and 23 students playing woodwind instruments. Four students play all three, 2 students play both brass and percussion instruments, and 2 students play both brass and woodwind instruments. No students play both percussion and woodwind instruments. How many students play only woodwind instruments? • 21 students • 17 students • 19 students • 15 students Five Minute Check 1

  13. End of Custom Shows

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