Math with Mr. J: Ordering Fractions

Introduction

• Topic: Ordering fractions from least to greatest and greatest to least.
• Method: Use common denominators to simplify the ordering process.
• Examples: Two sets of fractions demonstrated.

Example 1: Ordering from Least to Greatest

• Fractions: 5/6, 1/2, 2/3, 2/6
• Step 1: Find Common Denominator
  • Denominators: 6, 2, 3, 6
  • Least common multiple: 6
• Step 2: Rename Fractions with Common Denominator
  • 5/6 remains 5/6
  • 1/2 becomes 3/6 (multiplied numerator and denominator by 3)
  • 2/3 becomes 4/6 (multiplied numerator and denominator by 2)
  • 2/6 remains 2/6
• Step 3: Order Fractions
  • From least to greatest: 2/6, 1/2 (3/6), 2/3 (4/6), 5/6

Example 2: Ordering from Greatest to Least

• Fractions: 3/10, 4/5, 3/4, 5/10
• Step 1: Find Common Denominator
  • Denominators: 10, 5, 4, 10
  • Least common multiple: 20
• Step 2: Rename Fractions with Common Denominator
  • 3/10 becomes 6/20 (multiplied numerator and denominator by 2)
  • 4/5 becomes 16/20 (multiplied numerator and denominator by 4)
  • 3/4 becomes 15/20 (multiplied numerator and denominator by 5)
  • 5/10 becomes 10/20 (multiplied numerator and denominator by 2)
• Step 3: Order Fractions
  • From greatest to least: 4/5 (16/20), 3/4 (15/20), 5/10 (10/20), 3/10 (6/20)

Conclusion

• Key Steps:
  1. Identify the least common denominator.
  2. Rename fractions using the common denominator.
  3. Order the fractions as needed.
• Purpose: Simplifying the process of comparing and ordering fractions by using common denominators.

End of lesson summary. Further practice and understanding can be gained through additional examples and exercises.