Question

1/11+2/11+3/11+4/11+...+10/11

Answer 1

\(\frac{1}{11}+\frac{2}{11}+\frac{3}{11}+\frac{4}{11}+...+\frac{10}{11}\)

\(=\frac{1+2+3+4+...+10}{11}\)

\(=\frac{\frac{10\times\left(10+1\right)}{2}}{11}\)

\(=\frac{55}{11}=5\)

Answer 2

\(\frac{1}{11}+\frac{2}{11}+\frac{3}{11}+\frac{4}{11}+...+\frac{10}{11}=\frac{1+2+3+4+...+10}{11}=\frac{55}{11}=5\)

Answer 3

\(\frac{1}{11}+\frac{2}{11}+\frac{3}{11}+\frac{4}{11}+....+\frac{10}{11}\)

\(=\frac{1+2+3+4+...+10}{11}\)

\(=\frac{1+2+3+4+5+6+7+8+9+10}{11}\)

\(=\frac{\left(1+9\right)+\left(2+8\right)+\left(3+7\right)+\left(4+6\right)+10+5}{11}\)

\(=\frac{10+10+10+10+10+5}{11}\)

\(=\frac{10×5+5}{11}\)

\(=\frac{55}{11}\)

\(=55:11\)

\(=5\)

Answer 4

\(\frac{1}{11}+\frac{2}{11}+\frac{3}{11}+\frac{4}{11}+...+\frac{10}{11}.\)

\(=\frac{1+2+3+4+...+10}{11}\)

\(=\frac{\left(1+10\right)\times5}{11}\)

\(=\frac{11\times5}{11}\)

\(=\frac{5}{1}=5\)