How to Calculate Dividing Fractions
What is Dividing Fractions?
Dividing fractions uses the "keep-change-flip" (KCF) rule: keep the first fraction, change division to multiplication, and flip (take the reciprocal of) the second fraction. This works because dividing by a number is the same as multiplying by its reciprocal.
Formula
Step-by-Step Guide
- 1(a/b) ÷ (c/d) = (a/b) × (d/c) = ad/bc
- 2Keep the first fraction unchanged
- 3Change ÷ to ×
- 4Flip the second fraction (reciprocal)
- 5Simplify the result
Worked Examples
Frequently Asked Questions
What is Dividing Fractions?
Dividing fractions uses the "keep-change-flip" (KCF) rule: keep the first fraction, change division to multiplication, and flip (take the reciprocal of) the second fraction. This works because dividing by a number is the same as multiplying by its reciprocal
How accurate is the Dividing Fractions calculator?
The calculator uses the standard published formula for dividing fractions. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.
What units does the Dividing Fractions calculator use?
This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.
What formula does the Dividing Fractions calculator use?
The core formula is: (a/b) ÷ (c/d) = (a/b) × (d/c) = ad/bc. Each step in the calculation is shown so you can verify the result manually.