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

Răspuns :

[tex] \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} [/tex]