=4/3+9/8+16/15+........+100/99

=\(\frac{2.2}{1.3}\)+\(\frac{3.3}{2.4}\)+.....+\(\frac{10.10}{9.11}\)

=\(\frac{2.3......10}{1.2.3.....9}\)+\(\frac{2.3.4....10}{3.4.5......11}\)

=10+2/11

=\(10\frac{2}{11}\)

  1/2x1/3+1/3x1/4+1/4x1/5+1/5x1/6+1/6x1/7+1/7x1/8+1/8x1/9

=7/18

\(A=\left(1\frac{1}{7}\right).\left(1\frac{1}{8}\right).\left(1\frac{1}{9}\right)...\left(1\frac{1}{50}\right)\)

\(A=\frac{8}{7}.\frac{9}{8}.\frac{10}{9}...\frac{51}{50}\)

\(A=\frac{8.9.10...51}{7.8.9...50}\)

\(\Rightarrow A=\frac{51}{7}\)

tích đúng mình giải cho

= 1/1x2 + 1/2x3 + 1/3x4 + 1/4x5 + 1/5 x 6

= (1 - 1/2) + (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6)

= 1 - 1/6

= 5/6

nha,mơn nhìu

\(\frac{1}{1}x\frac{1}{2}+\frac{1}{2}x\frac{1}{3}+\frac{1}{3}x\frac{1}{4}+\frac{1}{4}x\frac{1}{5}+\frac{1}{5}x\frac{1}{6}\)

\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}\)

\(=1-\frac{1}{6}=\frac{5}{6}\)

\(1\frac{1}{5}x1\frac{1}{6}x...x1\frac{1}{2014}\)

=\(\frac{6}{5}x\frac{7}{6}x...x\frac{2015}{2014}\)

= \(\frac{2015}{5}\)= 403.

x= 2015 hoặc 403 vì hai người kia nói hai kết quả nên tui cho là 2 đáp án

thay tui sieu khong

nếu thấy tui giỏi thì tick cho tui nhé bạn hiền

câu 2 đề sai

\(a)\frac{1}{5}\times\frac{1}{2}:\frac{1}{3}=\frac{1}{5}\times\frac{1}{2}\times\frac{3}{1}=\frac{1\times1\times3}{5\times2\times1}=\frac{1\times3}{5\times2}=\frac{3}{10}\)

\(b)\frac{2}{9}:\frac{2}{3}\times\frac{1}{2}=\frac{2}{9}\times\frac{3}{2}\times\frac{1}{2}=\frac{2\times3\times1}{9\times2\times2}=\frac{1\times1\times1}{3\times1\times2}=\frac{1}{6}\)

\(c)\frac{1}{2}\times\frac{1}{3}+\frac{1}{4}=\frac{1}{6}+\frac{1}{4}=\frac{2}{12}+\frac{3}{12}=\frac{2+3}{12}=\frac{5}{12}\)

d, Tương tự như câu c

P/S : Bất phương trình????

\(\frac{1}{5}\times\frac{1}{2}:\frac{1}{3}\)

\(=\frac{1}{10}\times\frac{3}{1}\)

\(=\frac{3}{10}\)

\(\frac{2}{9}:\frac{2}{3}\times\frac{1}{2}\)

\(=\frac{2}{9}\times\frac{3}{2}\times\frac{1}{2}\)

\(=\frac{1}{3}\times\frac{1}{1}\times\frac{1}{2}\)

\(=\frac{1}{3}\times\frac{1}{2}\)

\(=\frac{1}{6}\)