2 Over 3 Times 2 Over 3: Understanding the Concept
In mathematics, we often come across expressions that involve fractions and multiplication. One such expression is 2 over 3 times 2 over 3. In this article, we will break down this expression and understand its meaning.
What does 2 over 3 mean?
Before we dive into the multiplication part, let's understand what 2 over 3 means. In fraction form, 2 over 3 is represented as:
2/3
This fraction represents two equal parts out of a total of three parts. In other words, if you have 3 cookies and you take 2 of them, you have 2/3 of the cookies.
What does 2 over 3 times 2 over 3 mean?
Now that we understand what 2 over 3 means, let's move on to the multiplication part. When we multiply 2 over 3 by 2 over 3, we get:
(2/3) × (2/3)
To multiply two fractions, we need to multiply the numerators (the numbers on top) and multiply the denominators (the numbers on the bottom), like this:
(2 × 2) / (3 × 3)
(4) / (9)
So, 2 over 3 times 2 over 3 is equal to 4 over 9.
Simplifying the Expression
Whenever we multiply two fractions, we get a new fraction as the result. In this case, we got 4 over 9. We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 4 and 9 is 1, so we cannot simplify the fraction further. Therefore, the final answer is:
4/9
Conclusion
In conclusion, 2 over 3 times 2 over 3 is equal to 4 over 9. We can arrive at this answer by multiplying the two fractions and simplifying the result. Understanding fractions and their multiplication is an essential part of mathematics, and this article has shown you how to work with such expressions.
