Question

Tìm x, biết:

a)   (  \(\frac{11}{1.2}\)+ \(\frac{11}{12.13}\)+\(\frac{11}{23.24}\)+....+ \(\frac{11}{89.100}\)) + x = \(\frac{5}{3}\)

Các bn giúp mik với nếu đề sai thì sửa giùm mik nhé

Answer 1

\(\left(\frac{11}{1.12}+\frac{11}{12.23}+...+\frac{11}{89.100}\right)+x=\frac{5}{3}\)

\(\Leftrightarrow\left(\frac{1}{1}-\frac{1}{12}+\frac{1}{12}-\frac{1}{23}+...+\frac{1}{89}-\frac{1}{100}\right)+x=\frac{5}{3}\)

\(\Leftrightarrow\left(1-\frac{1}{100}\right)+x=\frac{5}{3}\Leftrightarrow\frac{99}{100}+x=\frac{5}{3}\Leftrightarrow x=\frac{5}{3}-\frac{99}{100}\)

\(\Leftrightarrow x=\frac{297}{300}=\frac{ }{100}\)

Answer 2

mk nhầm \(x=\frac{203}{300}\)