Answer:
the simplified expression for 2x + 1/3 + 4x - 2/2 is 6x - 2/3.
Explanation:
To solve the expression 2x + 1/3 + 4x - 2/2, we need to combine like terms and simplify the expression.
First, let's combine the terms with the same variable, which are 2x and 4x:
2x + 4x = 6x
Next, let's simplify the fractions. We need to find a common denominator for 1/3 and 2/2, which is 6. We'll rewrite the fractions with the common denominator:
1/3 = 2/6
2/2 = 6/6
Now, let's rewrite the expression with the combined terms and simplified fractions:
6x + 2/6 - 6/6
Next, subtract the fractions with the same denominator:
6x + (2/6 - 6/6)
The numerator of the first fraction (2/6) needs to be subtracted from the numerator of the second fraction (6/6). This gives us:
6x + (-4/6)
Simplify the fraction:
6x - 4/6
Now, we can simplify further by dividing both the numerator and denominator of the fraction by their greatest common divisor, which is 2:
6x - 2/3
Therefore, the simplified expression for 2x + 1/3 + 4x - 2/2 is 6x - 2/3.