9 divided by 2/3

Guri Bee

less than a minute read

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20-10-2024

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Understanding Division with Fractions: 9 Divided by 2/3

Dividing by a fraction can seem confusing, but it's actually a straightforward process! Let's break down how to solve 9 divided by 2/3, using insights from discussions on GitHub.

The Problem: 9 ÷ 2/3

Why It's Tricky: It's easy to get confused about whether to multiply or divide. A common misconception is that dividing by a fraction is the same as multiplying by that fraction.

GitHub Insights:

On GitHub, users often discuss the best way to visualize dividing by fractions. One popular approach is to think of it as "how many times does the fraction fit into the whole number?" This helps to connect the division operation to a real-world scenario.

The Solution:

To divide by a fraction, we actually multiply by the reciprocal of that fraction. The reciprocal is simply flipping the numerator and denominator.

1. Find the reciprocal: The reciprocal of 2/3 is 3/2.

2. Multiply: Now, we multiply 9 by 3/2: 9 * (3/2) = 27/2

3. Simplify: We can simplify the fraction, which gives us 13.5.

Therefore, 9 divided by 2/3 equals 13.5.

Practical Example: Imagine you have 9 yards of fabric and need to cut pieces that are 2/3 of a yard long. How many pieces can you cut? The answer is 13.5.

Adding Value:

It's important to remember that dividing by a fraction is essentially asking how many times the fraction fits into the whole number. This understanding can be applied to various real-world situations, from measuring ingredients in a recipe to calculating the number of servings in a container.

Key Takeaways:

• Dividing by a fraction is the same as multiplying by its reciprocal.
• This technique can be applied to both whole numbers and fractions.
• Understanding the concept of division with fractions can be helpful in many practical scenarios.

By combining the knowledge from GitHub discussions with practical examples and explanations, we've gained a deeper understanding of dividing by fractions. This knowledge will help you solve similar problems with confidence!