Simplifying Algebraic Expressions: 1/3-1/12*x
In this article, we will explore the simplification of the algebraic expression 1/3-1/12*x. Simplifying algebraic expressions is an essential skill in mathematics, and it requires a good understanding of the order of operations, fractions, and variables.
The Given Expression
The given expression is:
1/3 - 1/12*x
To simplify this expression, we need to follow the order of operations (PEMDAS):
- Parentheses: None
- Exponents: None
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Simplifying the Expression
Let's start by simplifying the expression:
1/3 - 1/12*x
We can rewrite the expression as:
(1/3) - (1/12)x
Combining Like Terms
Since we have two terms with the same variable x, we can combine them:
((1/3) - (1/12))x
Simplifying the Fraction
Now, let's simplify the fraction:
(1/3) - (1/12) = (4/12) - (1/12) = 3/12 = 1/4
So, the simplified expression is:
(1/4)x
Conclusion
In this article, we demonstrated how to simplify the algebraic expression 1/3-1/12*x. By following the order of operations and combining like terms, we simplified the expression to (1/4)x. This simplified expression is easier to work with and can be used in various mathematical applications.
