Question

Valoarea fractiei 1+2+.....+10 / 1+2 +........+11

Answer 1

$\it 1+2+3+\ ...\ +10 =\dfrac{10\cdot11}{2}=5\cdot11 \\ \\ \\ 1+2+3+\ ...\ +11 =\dfrac{11\cdot12}{2}=11\cdot6 \\ \\ \\ F = \dfrac{5\cdot11}{11\cdot6} =\dfrac{5}{6}$