2/3 divided by 5/6

Guri Bee

2 min read

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20-10-2024

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Unlocking the Mystery: Dividing Fractions with 2/3 and 5/6

Dividing fractions can seem daunting at first, but it's actually a straightforward process with a simple rule: flip the second fraction and multiply. Let's explore this concept with the example of 2/3 divided by 5/6.

The Problem:

We want to find the answer to: 2/3 ÷ 5/6

The Solution:

1. Flip the second fraction: The reciprocal of 5/6 is 6/5.

2. Multiply: Now we have 2/3 x 6/5

3. Simplify: Multiply the numerators (top numbers) and the denominators (bottom numbers): (2 x 6) / (3 x 5) = 12/15

4. Reduce to the simplest form: Both 12 and 15 are divisible by 3, so we get 4/5.

Therefore, 2/3 divided by 5/6 is equal to 4/5.

Why does this work?

Think of dividing fractions like dividing whole numbers. When you divide 10 by 2, you are essentially asking "how many times does 2 fit into 10?". In the case of fractions, we are asking "how many times does 5/6 fit into 2/3?".

Flipping the second fraction and multiplying allows us to represent this question in a way that's easier to calculate.

Real-world application:

Let's imagine you have 2/3 of a pizza and want to divide it equally among 5 friends. To find out how much pizza each friend will get, you would divide the total pizza (2/3) by the number of friends (5). This is the same as dividing 2/3 by 5, which can be rewritten as 2/3 divided by 5/1.

Using the same principle as before, you would flip the second fraction and multiply: 2/3 x 1/5 = 2/15. This means each friend would get 2/15 of the entire pizza.

Key Takeaway:

Dividing fractions is a powerful tool used in various real-world applications. By remembering the simple rule of flipping the second fraction and multiplying, you can confidently tackle any division problem involving fractions.

Note:

The example and explanations in this article are based on the principles of dividing fractions, drawing inspiration from concepts discussed in various online platforms, including GitHub repositories. However, this article presents unique content by offering a practical scenario, further analysis, and a concise explanation for better understanding.