Fractions: Solving the Puzzle of 1/2÷3/4
Introduction
Fractions can be intimidating, especially when it comes to division. But fear not, dear reader! In this article, we'll tackle the tricky problem of 1/2÷3/4 and break it down into manageable parts. So, grab your calculator, and let's dive in!
Understanding the Problem
Before we start solving, let's take a closer look at the problem:
1/2÷3/4
To solve this, we need to understand the concept of dividing fractions.
Dividing Fractions: A Quick Refresher
When dividing fractions, we can use the following rule:
a/b ÷ c/d = (a/b) × (d/c)
In our case, we have:
1/2 ÷ 3/4 = ?
Solving the Problem
Using the rule above, we can rewrite our problem as:
(1/2) × (4/3)
Now, let's multiply the numerators (1 and 4) and the denominators (2 and 3):
(1 × 4) / (2 × 3) = 4/6
Simplifying the Answer
To simplify our answer, we can divide both numerator and denominator by their greatest common divisor (GCD), which is 2:
4 ÷ 2 = 2 6 ÷ 2 = 3
So, our final answer is:
2/3
Conclusion
And there you have it! We've successfully solved the puzzle of 1/2÷3/4. Remember, dividing fractions is all about flipping the second fraction and then multiplying. With practice, you'll become a pro at solving these types of problems in no time!
