- Identify that the fractions \(\frac{2}{3}\) and \(\frac{1}{3}\) have a common denominator of 3.
- Subtract the numerators: \(2 - 1 = 1\).
- Keep the denominator constant at 3 to get the result \(\frac{1}{3}\).
- Final answer is \(\boxed{\frac{1}{3}}\).
Explanation
- Analysis and Setup
The problem asks for the difference between two fractions: \(\frac{2}{3}\) and \(\frac{1}{3}\). Both fractions share a common denominator of 3, which simplifies the subtraction process. To subtract fractions with the same denominator, we subtract the numerators while keeping the denominator constant.
- Calculation
We perform the subtraction as follows:
\[\frac{2}{3} - \frac{1}{3} = \frac{2 - 1}{3} = \frac{1}{3}\]
Thus, the result of the calculation is \(\frac{1}{3}\).
Examples
Understanding how to subtract fractions is essential for everyday tasks, such as cooking, where you might need to adjust measurements. For instance, if a recipe calls for \(\frac{2}{3}\) of a cup of flour, and you have already used \(\frac{1}{3}\) of a cup, you need to calculate how much more is required. Calculating \(\frac{2}{3} - \frac{1}{3} = \frac{1}{3}\) helps you measure the remaining amount accurately, ensuring your baking comes out perfectly every time.