Math Without Tricks: Making Sense of the Division of Fractions

The "Keep-Change-Flip" (KCF) method is a common math trick used to teach students how to divide fractions. The instructions are simple: keep the first number, change the division sign to multiplication, and flip the second fraction. This method works and provides the correct answer, but there is a significant downside.

If our only focus is on getting the answer, KCF can seem very appealing. However, students often end up with no clue how they arrived at that answer or if it even makes sense. Additionally, tricks without meaning are frequently applied incorrectly in later problems, leading to confusion and errors.

I am a strong advocate of helping students understand that math makes sense. I'll show you a way to approach fraction division that gets students thinking critically and making sense of their answers.