VTMO 2026 - Grade 5 - Final - SET 2 - Self-study Question 11

Find the value of
$$\dfrac{3}{2+\dfrac{1}{2+\dfrac{1}{100+\dfrac{1}{101+\dfrac{1}{102}}}}}+\dfrac{3}{1+\dfrac{1}{1+\dfrac{1}{2+\dfrac{1}{100+\dfrac{1}{101+\dfrac{1}{102}}}}}}.$$