1/6 divided by 1/3

Guri Bee

2 min read

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18-10-2024

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Unlocking the Mystery of 1/6 Divided by 1/3

Dividing fractions can seem daunting, but it's actually quite straightforward with the right approach. Let's break down the problem of 1/6 divided by 1/3 and understand the logic behind it.

Understanding the Question

The question "1/6 divided by 1/3" essentially asks: "How many times does 1/3 fit into 1/6?" This might sound counterintuitive since 1/3 is larger than 1/6. However, remember that division is about finding out how many times one number (the divisor) "goes into" another number (the dividend).

The "Keep, Change, Flip" Method

A common method for dividing fractions is the "Keep, Change, Flip" method. Here's how it works:

1. Keep the first fraction (the dividend) as it is: 1/6.
2. Change the division sign to a multiplication sign.
3. Flip the second fraction (the divisor) to its reciprocal: 1/3 becomes 3/1.

This gives us: (1/6) * (3/1)

Simplifying the Multiplication

Now we simply multiply the numerators (top numbers) and the denominators (bottom numbers):

(1 * 3) / (6 * 1) = 3/6

Final Answer

Finally, we simplify the fraction by dividing both numerator and denominator by their greatest common factor (3):

3/6 = 1/2

Therefore, 1/6 divided by 1/3 is equal to 1/2.

Practical Example:

Imagine you have a pizza sliced into 6 equal pieces. You want to know how many pieces of 1/3 of the pizza you can get from the 1/6 piece you have. Using our calculation, we find you can get half a piece of 1/3 pizza from your 1/6 slice.

Key Takeaway

The "Keep, Change, Flip" method provides a simple way to understand and solve division of fractions. By remembering this method and applying it step-by-step, you can confidently tackle similar problems.

Attribution:

While the article is original content, the concept of the "Keep, Change, Flip" method is widely discussed online. Many resources, including forums and websites, explain this method in a similar way.

Additional Resources:

For further exploration on fraction division, check out these websites:

• Khan Academy
• Math is Fun

By understanding and applying this concept, you can unlock the world of fractions and confidently tackle division problems.