Fractions: Understanding 1/2 × 2/3
In the world of mathematics, fractions are an essential concept to grasp. One of the most common operations involving fractions is multiplication. In this article, we will explore the multiplication of two fractions, specifically 1/2 × 2/3.
What is a Fraction?
Before diving into the multiplication of fractions, let's quickly recap what a fraction is. A fraction represents a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). The numerator tells us how many equal parts we have, while the denominator tells us how many parts the whole is divided into.
Multiplying Fractions
Now, let's move on to multiplying fractions. The rule for multiplying fractions is quite simple:
Multiply the numerators (top numbers) and multiply the denominators (bottom numbers), then simplify the resulting fraction.
1/2 × 2/3: An Example
Let's apply this rule to our example: 1/2 × 2/3.
Step 1: Multiply the numerators (top numbers) 1 × 2 = 2
Step 2: Multiply the denominators (bottom numbers) 2 × 3 = 6
Step 3: Write the resulting fraction 2/6
Step 4: Simplify the fraction (if possible) 2/6 = 1/3
And there you have it! The result of multiplying 1/2 × 2/3 is 1/3.
Conclusion
In conclusion, multiplying fractions is a straightforward process. By following the simple rule of multiplying the numerators and denominators, you can easily multiply two fractions together. Remember to simplify your result, if possible, to get the final answer.
