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Simplifying the Expression: 1/4(2x-1)-x/6-1/3
In this article, we will simplify the algebraic expression 1/4(2x-1)-x/6-1/3.
Step 1: Evaluate the expression inside the parentheses
First, let's evaluate the expression inside the parentheses:
2x - 1
Step 2: Multiply the expression by 1/4
Next, we multiply the expression by 1/4:
1/4(2x - 1) = 1/2x - 1/4
Step 3: Simplify the expression
Now, let's simplify the entire expression:
1/2x - 1/4 - x/6 - 1/3
Step 4: Find a common denominator
To simplify the expression further, we need to find a common denominator. The least common multiple (LCM) of 2, 4, 6, and 3 is 12. So, we can rewrite the expression as:
(6x - 3)/12 - (2x)/12 - (4)/12 - (4)/12
Step 5: Combine like terms
Finally, we combine like terms:
(6x - 2x - 3 - 4 - 4)/12
= (4x - 11)/12
Therefore, the simplified expression is:
4x - 11/12
This is the final simplified expression.
