\(\left(\frac{1}{24.25}+\frac{1}{25.26}+....+\frac{1}{29.30}\right).120+x=\frac{1}{3}\)
\(\left(\frac{1}{24}-\frac{1}{30}\right).120+x=\frac{1}{3}\)
120.\(\frac{1}{120}\)+x =\(\frac{1}{3}\)
1+x=\(\frac{1}{3}\)
\(\Rightarrow x=-\frac{2}{3}\)
\(\left(\frac{1}{24.25}+\frac{1}{25.26}+...+\frac{1}{29.30}\right).120+x=\frac{1}{3}\)
\(\Rightarrow\left(\frac{1}{24}-\frac{1}{25}+\frac{1}{25}+\frac{1}{26}+...+\frac{1}{29}-\frac{1}{30}\right).120+x=\frac{1}{3}\)
\(\Rightarrow\left(\frac{1}{24}-\frac{1}{30}\right).120+x=\frac{1}{3}\)
\(\Rightarrow\frac{1}{120}.120+x=\frac{1}{3}\)
\(\Rightarrow1+x=\frac{1}{3}\)
\(\Rightarrow x=\frac{1}{3}-1\)
\(\Rightarrow x=-\frac{2}{3}\)
Vậy \(x=-\frac{2}{3}.\)
Chúc bạn học tốt!