1. **State the problem:** We need to round the fraction $\frac{5}{7}$ to the nearest tenth. 2. **Convert the fraction to a decimal:** Divide the numerator by the denominator: $$\frac{5}{7} = 5 \div 7$$ 3. Perform the division: $$5 \div 7 = 0.7142857...$$ 4. **Rounding to the nearest tenth:** The tenths place is the first digit after the decimal point. Here, it is 7. 5. Look at the hundredths place (the second digit after the decimal), which is 1. 6. Since the hundredths place is less than 5, we do not round up the tenths place. 7. Therefore, rounding $0.7142857...$ to the nearest tenth gives: $$0.7$$ **Final answer:** $0.7$