Solve the Fraction Subtraction: 4/5 minus 1/3

To solve the subtraction of these two fractions, we'll follow these steps:

• Step 1: Find a common denominator for the fractions $\frac{4}{5}$ and $\frac{1}{3}$. The denominators are 5 and 3, and multiplying them gives us a common denominator of 15.
• Step 2: Convert each fraction to have this common denominator:
• Convert $\frac{4}{5}$ to an equivalent fraction with a denominator of 15. To do this, multiply both the numerator and the denominator by 3: $\frac{4}{5} = \frac{4 \times 3}{5 \times 3} = \frac{12}{15}$.
• Convert $\frac{1}{3}$ to an equivalent fraction with a denominator of 15. To do this, multiply both the numerator and the denominator by 5: $\frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15}$.
• Step 3: Perform the subtraction of the numerators, now having the same denominator: $\frac{12}{15} - \frac{5}{15} = \frac{12 - 5}{15} = \frac{7}{15}$.
• Step 4: Simplify the result, if possible. In this case, $\frac{7}{15}$ is already in its simplest form as 7 and 15 have no common factors other than 1.

Therefore, the solution to the problem is $\frac{7}{15}$.