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Understanding Mixed Numbers and Improper Fractions Through Long Division

This lesson focuses on converting improper fractions to mixed numbers and vice versa. Students will highlight the numerator and underline the denominator in fractions, helping them visually understand the concepts. Using shapes as a learning tool, learners will explore how to express improper fractions in different forms. The lesson includes exercises to practice these conversions, employing long division methods for better comprehension. Students will solidify their understanding through notebook work and assigned homework.

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Understanding Mixed Numbers and Improper Fractions Through Long Division

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  1. Lesson 7.1: Mixed Numbers

  2. Circle the numerator. Underline the denominator in each fraction. Math Reflexes

  3. Complete Problems 1 and 2 on MJ page 187. Math Message

  4. Improper Fractions 1 What’s the value of the other shapes? Place on your desk. This is an improper fraction because the numerator is larger than the denominator. There is always another way to write an improper fraction. Can you figure out how we can do this? You can use your shapes to help you figure it out. 2 ½ = 5/2

  5. Improper Fractions Let’s try this with other improper fractions. Place 9/2 in front of you. How can we write this as a mixed number? 4 ½ Place 7/3 in front of you. How can we write this as a mixed number? Place 14/6 in front of you. How can we write this as a mixed number? Place 4/3 in front of you. How can we write this as a mixed number?

  6. How can we change improper fractions to mixed numbers not using shapes? Remember that the fraction bar also means division… So, Improper to Mixed Let’s set it up as a long division problem.

  7. Using long division to convert improper fractions to mixed numbers.

  8. Mixed Number to Improper Fraction Step 1: 3 * 2 = 6 Step 2: 6 + 1 = 7 Step 3: 7/3 So, 3 ½ = 7/3

  9. Wrapping it Up • Write your work in your Math Notebook. • Write five thirds in your notebook. • Use long division to change five thirds into a mixed number. • Write 2 ½ in your notebook. • Change it into an improper fraction.

  10. Homework

  11. Math Box 7.1

  12. Math Box 7.1 Answers

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