Question

Evaluate the expression. \(-\frac{1}{3}+6+\frac{1}{3}\)

Short answer

The expression evaluates to \(6\).

Step-by-step solution

Identify the problem

The problem requires the evaluation of the expression: \(-\frac{1}{3}+6+\frac{1}{3}\).

Begin with the fraction subtraction

Start by subtracting \(-\frac{1}{3}\) from \(\frac{1}{3}\). This results in \(0\). This is because subtracting a negative negates the subtraction action and effectively adds a positive \(\frac{1}{3}\) to the existing \(\frac{1}{3}\), which results in \(\frac{2}{3}\). And, \(\frac{2}{3} - \frac{2}{3}\) equals \(0\).

Add the integer

Next, add the integer \(6\) to the result of the fraction subtraction in the previous step, which is \(0\). This gives us \(6\).