27 divided by 1/3

Guri Bee

less than a minute read

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20-10-2024

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27 Divided by 1/3: Unraveling the Math Mystery

Have you ever encountered a math problem that seemed to defy logic? One such puzzle is "27 divided by 1/3." The answer might surprise you, but understanding the concept behind it is surprisingly simple.

The Problem:

The common misconception is to simply divide 27 by 3, resulting in 9. However, this approach is incorrect. The question is asking, "How many times does 1/3 fit into 27?"

Understanding the Concept:

Think of it like this: If you have a pizza cut into three equal slices (1/3 of the whole pizza), how many of those slices would make up the entire pizza? The answer is 3 slices, right?

Similarly, 27 divided by 1/3 is asking how many times 1/3 goes into 27. We can rephrase the question to: "How many 1/3s are in 27?"

The Solution:

• Step 1: Remember that dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 1/3 is 3/1 (or simply 3).

• Step 2: Therefore, 27 divided by 1/3 is the same as 27 multiplied by 3.

• Step 3: 27 x 3 = 81

The Answer: 27 divided by 1/3 is 81.

Practical Example:

Imagine you have 27 yards of fabric. You need to cut pieces that are each 1/3 of a yard long. How many pieces can you cut from the fabric? The answer is 81 pieces.

Key Takeaways:

• Dividing by a fraction is equivalent to multiplying by its reciprocal.
• Understanding the underlying concept of division can help you solve seemingly complex problems.
• Always remember to think about what the problem is asking and how it relates to the real world.

Additional Resources:

For further exploration and practice, consider these resources:

• Khan Academy: Dividing by Fractions
• Math is Fun: Dividing Fractions

By approaching math problems with curiosity and an open mind, you can unravel even the most perplexing equations!