4/5 divided by 6

Guri Bee

less than a minute read

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20-10-2024

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Unraveling the Mystery: 4/5 Divided by 6

Dividing fractions can seem daunting, but it's actually a simple concept once you understand the rules. Let's break down how to solve 4/5 divided by 6, drawing inspiration from a helpful discussion on GitHub:

The Question

A user on GitHub [link to GitHub discussion] posed this question: "How do you calculate 4/5 divided by 6?"

The Answer

The key to dividing fractions is to remember that dividing by a number is the same as multiplying by its reciprocal. Here's how to solve it:

1. Reciprocal of 6: The reciprocal of 6 is 1/6.
2. Multiplication: Instead of dividing by 6, we multiply 4/5 by 1/6.
3. Multiply Numerators and Denominators: (4/5) * (1/6) = (4 * 1) / (5 * 6)
4. Simplify: 4/30 simplifies to 2/15

Therefore, 4/5 divided by 6 equals 2/15.

Why Does This Work?

Think of division as finding out how many times one number "fits" into another. When we divide a fraction by a whole number, we're essentially asking: "How many times does 6 fit into 4/5?"

By flipping the divisor (6) into its reciprocal (1/6) and multiplying, we're effectively scaling the problem to fit within the fraction's smaller unit.

Real-World Application

Imagine you have a pizza cut into 5 slices, and you want to share 4 of those slices equally among 6 people. The result, 2/15, represents the fraction of the whole pizza each person would get.

Additional Insights

• Fractions and Division: Dividing fractions can be used to represent scenarios like splitting a cake equally among friends or calculating how much fabric you need for a project.
• Understanding the Relationship: Reciprocals are fundamental in understanding division, and their application extends beyond fractions.

Conclusion

By following the simple steps of finding the reciprocal and multiplying, you can easily tackle any fraction division problem. Remember, dividing by a number is equivalent to multiplying by its inverse, and this understanding will help you navigate the world of fractions with confidence.