Answer:
It seems you're dealing with a problem involving fractions and possibly finding a common denominator (LCD stands for Least Common Denominator). Here’s a step-by-step approach to solving it:
Given fractions:
1. \( \frac{1}{3} - \frac{4}{5} \)
To solve this, follow these steps:
1. **Find the Least Common Denominator (LCD):**
The denominators are 3 and 5. The LCD of 3 and 5 is 15.
2. **Convert each fraction to have the LCD as the denominator:**
- For \( \frac{1}{3} \):
\[
\frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15}
\]
- For \( \frac{4}{5} \):
\[
\frac{4}{5} = \frac{4 \times 3}{5 \times 3} = \frac{12}{15}
\]
3. **Subtract the fractions:**
\[
\frac{5}{15} - \frac{12}{15} = \frac{5 - 12}{15} = \frac{-7}{15}
\]
So, the result of \( \frac{1}{3} - \frac{4}{5} \) using the LCD of 15 is \( \frac{-7}{15} \).
