Simplifying Algebraic Expressions: 1-2x/2-x/3
Algebraic expressions can be simplified by combining like terms and eliminating any parentheses or fractions. In this article, we will explore how to simplify the expression 1-2x/2-x/3.
The Original Expression
The given expression is:
1 - 2x/2 - x/3
Simplifying the Expression
To simplify the expression, we need to follow the order of operations (PEMDAS):
- Simplify the fractions:
- 2x/2 = x (since 2 cancels out)
- x/3 = x/3 (no simplification possible)
- Rewrite the expression with the simplified fractions: 1 - x - x/3
- Combine like terms: 1 - x - x/3 = 1 - x(1 + 1/3)
Simplified Expression
The simplified expression is:
1 - x(4/3)
This is the final simplified form of the original expression.
Conclusion
Simplifying algebraic expressions involves combining like terms and eliminating any fractions or parentheses. By following the order of operations and simplifying the fractions, we can arrive at the final simplified expression. In this case, the simplified expression is 1 - x(4/3).
