VTMO 2026 - Grade 4 - Final - SET 1 - Self-study Question 3

Calculate $\frac{1001}{1}+\frac{1001}{7}+\frac{1001}{11}+\frac{1001}{13}+\frac{1001}{7\times11}+\frac{1001}{11\times13}+\frac{1001}{13\times7}+\frac{1001}{1001}$.