Find the difference, then express as a fraction in simplest form.
• 7.8 km = \( \frac{78}{10} = \frac{39}{5} \) km
• \( 8\frac{1}{8} = \frac{65}{8} \) km
• Difference: \( \frac{65}{8} - \frac{39}{5} = \frac{325}{40} - \frac{312}{40} = \frac{13}{40} \) km
Check: 8.125 - 7.8 = 0.325 = \( \frac{13}{40} \). ✓
Final Answer: a = 13, b = 40