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1,
\(\frac{25}{12}+\left(\frac{-4}{12}\right)=\frac{7}{4}\)
\(\frac{-10}{8}+\frac{15}{4}=\frac{5}{2}\)
\(\frac{3}{8}+\frac{-14}{6}=\frac{-47}{24}\)
\(\frac{350}{150}+\left(\frac{-200}{360}\right)=\frac{16}{9}\)
\([\frac{5}{8}+\left(\frac{-3}{4}\right)]+\frac{15}{6}=\frac{-1}{8}+\frac{15}{6}=\frac{19}{8}\)
\(\frac{7}{3}+[\left(\frac{-5}{6}\right)+\left(\frac{-2}{3}\right)]=\frac{7}{3}+\left(\frac{-3}{2}\right)=\frac{5}{6}\)
(x+1)/10+(x+1)/11+(x+1)/12-(x+1)/13-(x+1)/14=0
(x+1)(1/10+1/11+1/12-1/13+1/14)=0
mà 1/10+1/11+1/12-1/13+1/14 khác 0
nên x+1=0
x=0-1
x=-1
Vậy x=-1
#)Giải :
\(\left(\left|x\right|-\frac{1}{8}\right)\left(-\frac{1}{8}\right)^5=\left(-\frac{1}{8}\right)^7\)
\(\Leftrightarrow\left(\left|x\right|-\frac{1}{8}\right)=\left(-\frac{1}{8}\right)^2\)
\(\Leftrightarrow\left(\left|x\right|-\frac{1}{8}\right)=\frac{1}{64}\)
\(\Leftrightarrow\left|x\right|=\frac{9}{64}\)
\(\Leftrightarrow\hept{\begin{cases}x>0\\x< 0\end{cases}\Rightarrow\hept{\begin{cases}x=\frac{9}{64}\\x=-\frac{9}{64}\end{cases}}}\)
a) \(\frac{3}{4}+\frac{1}{4}:x=-3\)
\(\frac{1}{4}:x=-3-\frac{3}{4}\)
\(\frac{1}{4}:x=\frac{-15}{4}\)
\(x=\frac{1}{4}:\frac{-15}{4}\)
\(x=\frac{-1}{15}\)
b) \(x-\frac{1}{2}=2,5-x\)
\(x+x=2,5+\frac{1}{2}\)
\(2x=3\)
\(x=\frac{3}{2}\)
c) \(\left(x+\frac{1}{10}\right)+\left(x+\frac{1}{11}\right)=0\)
\(2x+\frac{21}{110}=0\)
\(2x=\frac{-21}{110}\)
\(x=\frac{-21}{110}:2\)
\(x=\frac{-21}{220}\)