1/10 divided by 3

Guri Bee

less than a minute read

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23-10-2024

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Unpacking the Mystery: 1/10 Divided by 3

Fractions and division can sometimes feel like a head-scratching puzzle. Let's break down the seemingly simple calculation of 1/10 divided by 3, revealing the logic behind the answer and gaining a deeper understanding of how fractions work.

The Question:

How do we solve 1/10 ÷ 3?

The Solution:

While it might seem tempting to simply divide the numerator (1) by 3, remember that dividing by a number is the same as multiplying by its inverse. In this case, the inverse of 3 is 1/3.

Therefore, 1/10 ÷ 3 is equivalent to:

(1/10) * (1/3)

Multiplying fractions is straightforward. We multiply the numerators and the denominators:

(1 * 1) / (10 * 3)

This simplifies to:

1/30

The Takeaway:

1/10 divided by 3 is equal to 1/30. We arrived at this answer by understanding the concept of inverse multiplication, applying it to our division problem, and simplifying the resulting fraction.

Additional Insights:

1. Visualizing the Solution: Imagine a pizza cut into 10 slices. You take one of those slices (1/10 of the pizza). Now, imagine you need to divide that single slice into 3 equal parts. Each of these smaller parts represents 1/30 of the whole pizza.

2. Real-World Application: Imagine you have a 10-meter long rope and need to cut it into 3 equal pieces. Each piece would be 1/30 of the original rope's length.

Key Takeaways:

• Dividing by a number is equivalent to multiplying by its inverse.
• Understanding inverse multiplication allows us to tackle division problems involving fractions.
• Visualizing the problem with real-world examples can aid in comprehension.

By using the principles of inverse multiplication and applying them to our problem, we've successfully solved 1/10 ÷ 3 and gained a deeper understanding of fractional division.

Note: This article draws inspiration from discussions found on GitHub platforms. It aims to provide a more comprehensive explanation while maintaining accuracy and clarity.