1. **State the problem:** Calculate $8 \frac{1}{7} - 1 \frac{3}{7}$. 2. **Convert mixed numbers to improper fractions:** $$8 \frac{1}{7} = \frac{8 \times 7 + 1}{7} = \frac{56 + 1}{7} = \frac{57}{7}$$ $$1 \frac{3}{7} = \frac{1 \times 7 + 3}{7} = \frac{7 + 3}{7} = \frac{10}{7}$$ 3. **Subtract the fractions:** $$\frac{57}{7} - \frac{10}{7} = \frac{57 - 10}{7} = \frac{47}{7}$$ 4. **Convert the improper fraction back to a mixed number:** Divide 47 by 7: $$47 \div 7 = 6 \text{ remainder } 5$$ So, $$\frac{47}{7} = 6 \frac{5}{7}$$ 5. **Final answer:** $$8 \frac{1}{7} - 1 \frac{3}{7} = 6 \frac{5}{7}$$