Divide 4/5 By 2: Simplified Math Solution

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Simplifying complex math problems can be a challenging task, but with the right approach, it can be made easier. In this article, we will explore the solution to a simple math problem: dividing 4/5 by 2.

Understanding the Problem

Before we dive into the solution, let's take a moment to understand the problem. We are asked to divide 4/5 by 2, which can be written as:

(4/5) ÷ 2

This is a simple division problem, but it requires us to understand the concept of dividing fractions.

Dividing Fractions

To divide fractions, we need to follow a simple rule: invert the second fraction and multiply. This means that we can rewrite the problem as:

(4/5) × (1/2)

By inverting the second fraction, we can convert the division problem into a multiplication problem.

Multiplying Fractions

Now that we have converted the problem into a multiplication problem, we can multiply the fractions together. To do this, we need to multiply the numerators and denominators separately:

(4 × 1) / (5 × 2)

This simplifies to:

4/10

Simplifying the Fraction

Finally, we can simplify the fraction by dividing both the numerator and denominator by 2:

4 ÷ 2 = 2 10 ÷ 2 = 5

So, the simplified fraction is:

2/5

Answer

Therefore, the solution to the problem is:

(4/5) ÷ 2 = 2/5

Tips and Variations

Here are a few tips and variations to help you solve similar problems:

• When dividing fractions, always invert the second fraction and multiply.
• Make sure to simplify the fraction by dividing both the numerator and denominator by their greatest common divisor.
• Practice, practice, practice! The more you practice dividing fractions, the more comfortable you will become with the process.

Example Problems

Here are a few example problems to help you practice dividing fractions:

• (3/4) ÷ 2 =?
• (2/3) ÷ 3 =?
• (5/6) ÷ 4 =?

Gallery of Math Problems

FAQ

Q: What is the rule for dividing fractions? A: To divide fractions, invert the second fraction and multiply.

Q: How do I simplify a fraction? A: To simplify a fraction, divide both the numerator and denominator by their greatest common divisor.

Q: What is the greatest common divisor of 4 and 10? A: The greatest common divisor of 4 and 10 is 2.

We hope this article has helped you understand how to divide fractions and simplify the result. Remember to practice regularly to become more comfortable with the process. If you have any questions or need further clarification, feel free to ask in the comments section below!