\(\frac{1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+....+\frac{1}{9}+\frac{1}{10}}{\frac{1}{1\times10}+\frac{1}{2\times9}+\frac{1}{3\times8}+....+\frac{1}{9\times2}+\frac{1}{10\times1}}\)

Tinh nhanh minh tich cho

tinh nhanh

a) M= \(\frac{17}{5}.\frac{1}{2}.\frac{10}{17}.\frac{-1}{2^3}\)

b) N= \(\frac{1}{6}.\frac{5}{9}+\frac{5}{9}.\frac{2}{7}+\frac{1}{9}.\frac{5}{7}-\frac{5}{9}.\frac{3}{7}\)

Tinh nhanh

a) M = \(\frac{17}{5}.\frac{1}{2}.\frac{10}{17}.\frac{-1}{2^3}\)

b) N =  \(\frac{1}{6}.\frac{5}{9}.\frac{5}{9}.\frac{2}{7}+\frac{1}{9}.\frac{5}{7}\)\(-\frac{5}{9}.\frac{3}{7}\)

tinh nhanh nếu có thể

\(\frac{7}{80}:\frac{-7}{4}-\frac{2}{9}:\left(8-\frac{8}{3}\right)--\frac{5}{24}.\left(-\frac{10}{3}+\frac{33}{15}\right)^{^{ }2}\)

tính nhanh

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

ai nhanh mik tik nha

\(\frac{1}{2}-\frac{1}{3}-\frac{2}{3}+\frac{1}{4}+\frac{2}{4}+\frac{3}{4}-\frac{1}{5}-\frac{2}{5}-\frac{3}{5}-\frac{4}{5}+...+\frac{1}{10}+\frac{2}{10}+\frac{3}{10}+...+\frac{9}{10}\)\(+\)\(\frac{9}{10}\)

Thuc hien phep tinh:

a/\(\frac{\frac{1}{9}-\frac{1}{7}-\frac{1}{11}}{\frac{4}{9}-\frac{4}{7}-\frac{4}{11}}\)+ \(\frac{0,6-\frac{3}{25}-\frac{3}{125}-\frac{3}{625}}{\frac{4}{5}-0,16-\frac{4}{125}-\frac{4}{625}}\)

b/ \(\frac{2^{12}.3^5-4^6.9^2}{\left(2^2.3\right)^6+8^4.3^5}-\frac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.14^3}\)

Tính

\(\frac{1}{2}-\frac{1}{3}-\frac{2}{3}+\frac{1}{4}-\frac{2}{4}+\frac{3}{4}+...+\frac{1}{10}+\frac{2}{10}+...+\frac{9}{10}\)