4/5 divided by 2

Lyra Rowan

less than a minute read

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29-09-2024

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Dividing Fractions: Unveiling the Mystery of 4/5 Divided by 2

Dividing fractions can seem daunting, but it's actually a straightforward process. Let's explore the solution to 4/5 divided by 2, drawing upon the wisdom of Brainly users and adding our own analysis.

Understanding the Question

First, it's crucial to understand the question itself. "4/5 divided by 2" means we're trying to find out how many times the value 2 fits into the fraction 4/5.

Brainly Insights

On Brainly, a user named "Anonymous" provided a clear explanation:

"Dividing by a whole number is the same as multiplying by its reciprocal. The reciprocal of 2 is 1/2. So, 4/5 divided by 2 is the same as 4/5 multiplied by 1/2."

This insight is key. It introduces the concept of reciprocals, which are essential for fraction division. The reciprocal of a number is simply 1 divided by that number.

The Calculation

Following the Brainly user's guidance, we can now perform the calculation:

1. Find the reciprocal of the divisor (2): 1/2
2. Multiply the dividend (4/5) by the reciprocal: (4/5) * (1/2) = 4/10

Simplifying the Answer

The answer, 4/10, can be simplified by dividing both the numerator and denominator by their greatest common factor, 2:

4/10 = (4/2) / (10/2) = 2/5

Practical Application

Let's imagine you have 4/5 of a pizza and want to split it equally between 2 people. The answer, 2/5, tells us each person would get 2/5 of the whole pizza.

Key Takeaways

• Dividing by a whole number is equivalent to multiplying by its reciprocal.
• Finding the reciprocal of a number involves dividing 1 by that number.
• Simplifying fractions makes them easier to understand and compare.

Understanding these principles empowers you to tackle any fraction division problem with confidence. Remember, the key is to break down complex tasks into smaller, manageable steps.