Fractions in Action: Simplifying 1/4 × 2/3
Fractions can be a bit tricky, but with the right approach, you can master them in no time. In this article, we'll dive into the world of fractions and explore how to simplify the expression 1/4 × 2/3.
What does it mean to multiply fractions?
When we multiply fractions, we are essentially multiplying the numerators (the numbers on top) and multiplying the denominators (the numbers on the bottom). The result is a new fraction that represents the product of the original fractions.
Multiplying 1/4 and 2/3
Let's get started! To multiply 1/4 and 2/3, we'll follow the rule:
(numerator 1 × numerator 2) / (denominator 1 × denominator 2)
In our case, that's:
(1 × 2) / (4 × 3)
Simplifying the Expression
Now, let's simplify the expression:
(2) / (12)
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD is 2, so:
(2 ÷ 2) / (12 ÷ 2)
Which gives us:
(1) / (6)
And there you have it! The simplified result of 1/4 × 2/3 is 1/6.
Conclusion
Multiplying fractions might seem daunting at first, but with practice and patience, you'll become a pro in no time. Remember to multiply the numerators, multiply the denominators, and simplify the expression by dividing out any common factors. Happy math-ing!
