6) \( 1 \frac{1}{2}-\frac{1}{5} \)

To solve \( 1 \frac{1}{2} - \frac{1}{5} \), first convert the mixed number into an improper fraction. \( 1 \frac{1}{2} \) is equal to \( \frac{3}{2} \). Now we have \( \frac{3}{2} - \frac{1}{5} \). To perform the subtraction, we need a common denominator, which is 10. Convert each fraction: \( \frac{3}{2} = \frac{15}{10} \) and \( \frac{1}{5} = \frac{2}{10} \). Now subtract: \( \frac{15}{10} - \frac{2}{10} = \frac{13}{10} \). Thus, the answer is \( \frac{13}{10} \) or \( 1 \frac{3}{10} \). Remember to pay attention to converting mixed numbers to improper fractions first—it’s a key step to avoid confusion! And don’t forget about finding that common denominator before you dive into the subtraction; it’s the bridge between those fractions!