How to Divide Fractions by Fractions: Step-by-Step Guide

Understanding Fraction Division

• 💡 The core method for dividing fractions is the 'keep change flip' strategy.
• This involves keeping the first fraction as is, changing the division operation to multiplication, and inverting the second fraction.

Example 1: Simple Cancellation

• 🎯 For the problem 4/7 divided by 3/7, applying 'keep change flip' results in 4/7 * 7/3.
• ✅ By canceling out the sevens, the simplified answer is 4/3.

Example 2: Multiplication and Reduction

• ⚡ When dividing 4/9 by 2/3, 'keep change flip' yields 4/9 * 3/2.
• Multiplying across gives 12/18, which can be reduced to 2/3 by dividing both numerator and denominator by 6.

Example 3: Advanced Cancellation

• 🚀 To divide 4/7 by 8/21, use 'keep change flip' to get 4/7 * 21/8.
• Instead of multiplying 421, break down numbers: 21 as 73 and 8 as 4*2.
• Canceling common factors (4 and 7) leaves 3/2 as the answer, avoiding larger numbers.