How to Rank Fractions: Least to Greatest | GED Math Explained

Ranking Fractions Using Common Denominators

• 🎯 The primary method discussed for ranking fractions from least to greatest is by finding a common denominator.
• 🔑 To find the common denominator, identify a common multiple of the given denominators (5, 8, 4, 10, 20). In this case, 40 is identified as the least common multiple.
• 🛠️ Each fraction is then converted to an equivalent fraction with the common denominator of 40:
  • 3/5 becomes 24/40
  • 5/8 becomes 25/40
  • 1/4 becomes 10/40
  • 3/10 becomes 12/40
  • 11/20 becomes 22/40

Comparing Numerators for Ranking

• 📈 Once all fractions have the same denominator, they can be ranked by comparing their numerators.
• 📉 The numerators are ordered from least to greatest: 10, 12, 22, 24, 25.
• 🥇 This corresponds to the original fractions being ranked as: 1/4, 3/10, 11/20, 3/5, and 5/8.

Verifying with Decimal Conversion

• 💡 An alternative method to verify the ranking is by converting each fraction to a decimal.
• 📊 The decimal equivalents are: 1/4 = 0.25, 3/10 = 0.30, 11/20 = 0.55, 3/5 = 0.60, and 5/8 = 0.625.
• ✅ Comparing these decimals confirms the order from least to greatest: 0.25, 0.30, 0.55, 0.60, 0.625, validating the common denominator method.