## 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:

**Find the reciprocal of the divisor (2):**1/2**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.