How to Compare Fractions with Different Denominators: A Simple Method

Finding Common Denominators

• 🎯 To compare fractions with different denominators, the key is to find a common denominator.
• 💡 This is achieved by multiplying the first fraction by the denominator of the second fraction over itself, and vice versa.

Comparing Fractions with Common Denominators

• 🚀 Once fractions share a common denominator, comparison becomes straightforward by looking at the numerators.
• 🔑 For example, to compare 3/4 and 4/5, multiply 3/4 by 5/5 to get 15/20, and 4/5 by 4/4 to get 16/20.
• ✅ Since 16 is greater than 15, 16/20 is greater than 15/20, meaning 4/5 is greater than 3/4.

Additional Examples

• 📈 Comparing 5/6 and 6/7: Multiply 5/6 by 7/7 to get 35/42, and 6/7 by 6/6 to get 36/42.
• 🧠 36/42 is greater than 35/42, so 6/7 is greater than 5/6.
• 🔍 Another example: comparing 5/9 and 4/7. Multiply 5/9 by 7/7 to get 35/63, and 4/7 by 9/9 to get 36/63.
• 🌟 36/63 is greater than 35/63, confirming that 4/7 is greater than 5/9.

Verification with Decimals

• 📊 The method can be verified by converting fractions to decimals.
• 💡 For instance, 3/4 equals 0.75 and 4/5 equals 0.80, clearly showing 4/5 is larger.