Simplifying Fractions: 1/2 ÷ 3/4 = ?
When dealing with fractions, dividing one by another can be a bit tricky. But fear not, dear reader! In this article, we'll explore how to simplify the fraction 1/2 divided by 3/4 and arrive at the correct answer.
The Problem: 1/2 ÷ 3/4
Let's start with the given problem: 1/2 divided by 3/4. To divide these fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
Inverting the Second Fraction
To invert the second fraction, we'll swap the numerator and denominator: 3/4 becomes 4/3.
Multiplying the Fractions
Now, let's multiply the two fractions:
1/2 × 4/3 = ?
To multiply fractions, we multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom), like this:
(1 × 4) / (2 × 3) = 4/6
Simplifying the Fraction
The resulting fraction is 4/6. But we can simplify it further by dividing both the numerator and denominator by their greatest common divisor, which is 2.
4 ÷ 2 = 2 6 ÷ 2 = 3
So, the simplified fraction is:
2/3
Conclusion
And there you have it! The result of dividing 1/2 by 3/4 is indeed 2/3. By inverting the second fraction and multiplying, we arrived at the correct answer. Remember to always simplify your fractions to get the most concise answer possible. Happy math-ing!
