1/9 divided by 1/3

Guri Bee

2 min read

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22-10-2024

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Unraveling the Mystery: 1/9 Divided by 1/3

Dividing fractions can seem daunting, but it's actually quite straightforward. Let's explore the problem of 1/9 divided by 1/3 and understand the process behind it.

The Question:

Many people stumble upon this question: What is 1/9 divided by 1/3?

The Answer:

The answer is 1/3. Here's how we arrive at that:

Understanding Division by Fractions

When we divide by a fraction, we're essentially asking: "How many times does the second fraction fit into the first fraction?"

To make this easier to visualize, think of a pizza. If we have 1/9 of a pizza and want to know how many times 1/3 of a pizza fits into it, we need to figure out how many 1/3 slices make up 1/9.

The Solution

1. Reciprocal: The key to dividing by fractions is to use the reciprocal of the second fraction. The reciprocal of 1/3 is 3/1 (or simply 3).

2. Multiplication: We then multiply the first fraction (1/9) by the reciprocal of the second fraction (3/1).

   (1/9) ÷ (1/3) = (1/9) × (3/1)

3. Simplify: Multiplying the numerators (1 x 3) and the denominators (9 x 1), we get 3/9.

   3/9 can be simplified to 1/3.

Therefore, 1/9 divided by 1/3 equals 1/3.

Practical Application:

Imagine you have a piece of fabric 1/9 meter long. You want to cut it into pieces that are 1/3 meter long. How many pieces can you cut? The answer is 1/3, meaning you can only cut a third of a piece from the original fabric.

Key Takeaways:

• Dividing by a fraction is the same as multiplying by its reciprocal.
• Visualizing fractions as parts of a whole can help understand the concept.
• Practice with different fractions to develop a strong understanding of this operation.

Resources:

This explanation is based on the discussions and examples found in various online forums and communities, such as:

• Stack Overflow: Division by fractions
• Reddit: Dividing Fractions

Remember, practice makes perfect! The more you work with fractions, the more comfortable you'll become with dividing them.