Simplifying Fractions: 1/2x - 2/3
In this article, we will explore the simplification of the expression 1/2x - 2/3. Fractions can be intimidating at first, but with the right techniques, we can simplify them and reveal their underlying beauty.
What is the expression 1/2x - 2/3?
The expression 1/2x - 2/3 is a combination of two fractions: 1/2x and -2/3. The first fraction, 1/2x, represents one half of the variable x, while the second fraction, -2/3, represents negative two thirds.
Simplifying the Expression
To simplify the expression, we need to find a common denominator for both fractions. The least common multiple (LCM) of 2 and 3 is 6. Therefore, we can rewrite the fractions with a denominator of 6:
1/2x = 3/6x -2/3 = -4/6
Now, we can combine the two fractions by subtracting -4/6 from 3/6x:
3/6x - 4/6 = (3x - 4)/6
And that's it! We have simplified the expression 1/2x - 2/3 to (3x - 4)/6.
Conclusion
In this article, we have learned how to simplify the expression 1/2x - 2/3 by finding the least common multiple of the denominators and combining the fractions. Simplifying fractions is an essential skill in mathematics, and with practice, you can become proficient in simplifying even the most complex expressions.
