Simplifying Algebraic Expressions: 2x/3 - x - 1/6 + x + 2/2
In this article, we will learn how to simplify the algebraic expression 2x/3 - x - 1/6 + x + 2/2.
Step 1: Combine Like Terms
First, we need to identify the like terms in the expression. The like terms are the terms that have the same variable (x) and coefficient.
- 2x/3 and x are like terms because they both have the variable x.
- 1/6 is a constant term.
- 2/2 is also a constant term.
Step 2: Simplify the Fractions
Next, we need to simplify the fractions in the expression.
- 2x/3 = 2x/3 (no simplification needed)
- 2/2 = 1 (simplified)
Step 3: Combine the Like Terms
Now, we can combine the like terms.
- 2x/3 - x = (2x - 3x)/3 = -x/3
- -x/3 + x = -x/3 + 3x/3 = 2x/3
- 1/6 + 1 = 1 1/6
Step 4: Write the Simplified Expression
Finally, we can write the simplified expression.
2x/3 - x - 1/6 + x + 2/2 = 2x/3 + 1 1/6
Therefore, the simplified expression is 2x/3 + 1 1/6.
I hope this helps! Let me know if you have any questions.
