\(\left(10^2+11^2+12^2\right):\left(13^2+14^2\right)\)
\(=\left(100+121+144\right):\left(169+196\right)\)
\(=365:365\)
\(=1\)
\(\left(10^2+11^2+12^3\right):\left(13^2+14^2\right)\)
\(=\left(100+121+1728\right):\left(169+196\right)\)
\(=1949:365\)
\(=\dfrac{1949}{365}\)