Simplifying the Fraction: 1/2 x 2/3
When it comes to multiplying fractions, it's essential to understand the concept of equivalent ratios and how to simplify fractions. In this article, we'll explore how to simplify the fraction 1/2 x 2/3.
The Multiplication Rule
To multiply two fractions, you need to multiply the numerators (the numbers on top) and multiply the denominators (the numbers at the bottom), like this:
(a/b) × (c/d) = (ac)/(bd)
Let's apply this rule to our given fraction:
1/2 x 2/3
To multiply these two fractions, we'll follow the rule:
(1/2) × (2/3) = ?
First, multiply the numerators (1 and 2):
1 × 2 = 2
Next, multiply the denominators (2 and 3):
2 × 3 = 6
Now, write the product as a fraction:
(2)/(6)
Simplifying the Fraction
We can simplify the fraction (2)/(6) by dividing both numerator and denominator by their greatest common divisor (GCD), which is 2.
(2 ÷ 2)/(6 ÷ 2) = 1/3
And that's the simplified result!
Conclusion
In conclusion, the simplified fraction of 1/2 x 2/3 is 1/3. Remember to always apply the multiplication rule when dealing with fractions and simplify your results whenever possible.
