The 'Keep, Change, Flip' Method Explained
[Image of dividing reciprocal fraction diagram] Dividing fractions is a concept that often confuses students, but it becomes much simpler with the "Keep, Change, Flip" strategy. This method transforms a division problem into a straightforward fraction multiplication problem.
Here is how it works:
- Keep the first fraction exactly the same.
- Change the division symbol (÷) to a multiplication symbol (×).
- Flip the second fraction upside down. This is mathematically known as finding the reciprocal.
Example: 1/2 ÷ 3/4
Apply the rule: Keep (1/2), Change (÷ to ×), Flip (3/4 to 4/3).
Now, simply multiply across: 1×4 = 4 and 2×3 = 6. The answer is 4/6, which simplifies to 2/3.
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Frequently Asked Questions
What is a reciprocal?
A reciprocal is what you get when you flip a fraction upside down. The numerator becomes the denominator and vice versa. For example, the reciprocal of 3/4 is 4/3.
Do I need a common denominator to divide?
No! That is only for adding and subtracting. When dividing, you use the "Keep, Change, Flip" method and then multiply straight across.
Can I divide mixed numbers?
Yes, but you must first convert them into improper fractions. Once they are improper fractions, you can use the standard division steps.
Is the answer simplified?
Yes. The answer key provided on the second page shows the calculation steps and the final answer simplified to its lowest terms.