1. **State the problem:** We need to determine who was in first and second place in a race where Fadi covered $\frac{5}{6}$ of the distance, Nahi covered $\frac{2}{7}$, and Rami covered $\frac{7}{11}$ in 5 minutes. 2. **Compare the fractions:** To find who covered the greatest distance, we compare the fractions $\frac{5}{6}$, $\frac{2}{7}$, and $\frac{7}{11}$. 3. **Find a common denominator:** The denominators are 6, 7, and 11. The least common denominator (LCD) is $6 \times 7 \times 11 = 462$. 4. **Convert each fraction to have denominator 462:** $$\frac{5}{6} = \frac{5 \times 77}{6 \times 77} = \frac{385}{462}$$ $$\frac{2}{7} = \frac{2 \times 66}{7 \times 66} = \frac{132}{462}$$ $$\frac{7}{11} = \frac{7 \times 42}{11 \times 42} = \frac{294}{462}$$ 5. **Compare the numerators:** $385 > 294 > 132$ 6. **Conclusion:** - Fadi covered the greatest distance ($\frac{5}{6}$), so he is in first place. - Rami covered the second greatest distance ($\frac{7}{11}$), so he is in second place. - Nahi covered the least distance ($\frac{2}{7}$), so she is in third place.