2/3 divided by 1/6

Guri Bee

less than a minute read

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23-10-2024

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Unlocking the Mystery of Dividing Fractions: 2/3 Divided by 1/6

Dividing fractions can feel like a head-scratcher, but it's actually a simple concept once you understand the process. Let's break down the problem of 2/3 divided by 1/6 and explore the logic behind it.

Understanding the Concept

At its core, dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of a fraction is simply flipping the numerator and denominator. So, the reciprocal of 1/6 is 6/1.

Applying the Rule

Therefore, our problem becomes: 2/3 * 6/1.

Now, we can simply multiply the numerators and the denominators:

• (2 * 6) / (3 * 1) = 12/3

Simplifying the Result

Finally, we can simplify the fraction 12/3 to get our answer:

• 12/3 = 4

So, 2/3 divided by 1/6 is equal to 4.

Practical Example: Sharing Pizza

Imagine you have 2/3 of a pizza left. You want to divide this remaining pizza among 6 friends (each friend getting 1/6 of the whole pizza). How much pizza does each friend get?

By dividing 2/3 (the remaining pizza) by 1/6 (the portion each friend gets), we find that each friend receives 4 slices of the whole pizza.

Key Takeaways:

• Dividing by a fraction is the same as multiplying by its reciprocal.
• The reciprocal of a fraction is found by flipping the numerator and the denominator.
• Understanding fractions and reciprocals makes dividing fractions a straightforward process.

Additional Resources

For further exploration of fraction division and other mathematical concepts, you can refer to online resources like Khan Academy and Math Playground. These platforms offer interactive lessons, practice problems, and engaging explanations to help you solidify your understanding.

Remember, with a little practice and understanding, conquering fractions becomes a piece of cake!