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Fractions & Mixed Numbers • Lesson 10 ⏱ 5 min read 📅 Updated Nov 2026

How to Divide Fractions: The Keep, Change, Flip Method

Discover the reciprocal trick! Learn why dividing by a fraction is the same as multiplying by its flipped reciprocal.

Interactive Visual Math Explorer Explore Pizza & Fractions

Slice the pizza or slide the fraction bar to observe how fractions, decimals, and percentages relate in real time:

Interactive Visual Explorer

Visualizing Division: How Many Fits Inside?

Try:
Master Mnemonic

You never actually divide fractions! Instead, you turn the problem into multiplication using KCF: Keep, Change, Flip.

How Many 1/2 Slices Fit Inside 3 Whole Pizzas? (3 ÷ 1/2) #1 #2 Pizza 1 #3 #4 Pizza 2 #5 #6 Pizza 3 TOTAL HALVES: 6 3 × 2 = 6
Fraction Division Concept: Dividing 3 by 1/2 Answers “How Many Halves in 3 Pizzas?” (Answer: 6 Halves!)

The KCF Formula (Keep, Change, Flip)

ab ÷ cd = ab × dc = a × db × c
  • K – Keep: Keep the first fraction exactly as it is.
  • C – Change: Change the division sign (÷) to multiplication (×).
  • F – Flip: Flip the second fraction upside down (its reciprocal).

Worked Example: 2/3 ÷ 5/7

  1. Keep: 23
  2. Change: ÷ → ×
  3. Flip: 57 → 75
  4. Multiply: 23 × 75 = 1415.
Try It Yourself

Practice with Our Interactive Fraction Calculator

Check your calculations or explore full step-by-step solutions instantly.

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Solved Step-by-Step Examples:3/4 ÷ 1/22/3 ÷ 4/5
Your Turn!

Check Your Understanding (3 Quick Questions)

Score: 0 / 3

Question 1: What is the reciprocal of 3/5?

Question 2: Solve 3/4 ÷ 1/2 using Keep, Change, Flip:

Question 3: How many 1/4-pound hamburger patties can you make from 2 pounds of beef?