Solution:
1. Given:
- First fraction: \frac{4}{5}
- Second fraction: \frac{1}{3}
2. Find the least common denominator (LCD) of the two fractions:
- The denominators are 5 and 3.
- The LCD of 5 and 3 is 15.
3. Convert each fraction to have the same denominator:
- Multiply the numerator and denominator of \frac{4}{5} by 3 to get:
\frac{4 \times 3}{5 \times 3} = \frac{12}{15}
- Multiply the numerator and denominator of \frac{1}{3} by 5 to get:
\frac{1 \times 5}{3 \times 5} = \frac{5}{15}
4. Subtract the two fractions:
\frac{12}{15} - \frac{5}{15} = \frac{12 - 5}{15} = \frac{7}{15}
5. The simplest form of the expression is:
- \frac{7}{15}