Bài 18"
\(\dfrac{1}{2}-\left(\dfrac{1}{3}+\dfrac{1}{10}\right)=\dfrac{1}{2}-\dfrac{1}{3}-\dfrac{1}{10}=\dfrac{15-10-3}{30}=\dfrac{2}{30}=\dfrac{1}{15}\)
\(\dfrac{1}{12}-\left(-\dfrac{1}{6}-\dfrac{1}{4}\right)=\dfrac{1}{12}+\dfrac{1}{6}+\dfrac{1}{4}=\dfrac{1+2+3}{12}=\dfrac{6}{12}=\dfrac{1}{2}\)
\(\dfrac{1}{2}-\dfrac{-1}{3}+\dfrac{1}{23}+\dfrac{1}{6}=\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{23}+\dfrac{1}{6}=\dfrac{3+2+1}{6}+\dfrac{1}{23}=1+\dfrac{1}{23}=\dfrac{24}{23}\)
Bài 18':
a) Ta có: \(x-\dfrac{1}{15}=\dfrac{1}{10}\)
nên \(x=\dfrac{1}{10}+\dfrac{1}{15}\)
hay \(x=\dfrac{1}{6}\)
Vậy: \(x=\dfrac{1}{6}\)
b) Ta có: \(\dfrac{-2}{15}-x=\dfrac{-3}{10}\)
nên \(x=\dfrac{-2}{15}-\dfrac{-3}{10}\)
hay \(x=\dfrac{1}{6}\)
Vậy: \(x=\dfrac{1}{6}\)
Bài 18':
a) Ta có: \(\dfrac{-2}{3}x=\dfrac{4}{15}\)
\(\Leftrightarrow x=\dfrac{4}{15}:\dfrac{-2}{3}=\dfrac{4}{15}\cdot\dfrac{-3}{2}=\dfrac{-12}{30}\)
hay \(x=-\dfrac{2}{5}\)
Vậy: \(x=-\dfrac{2}{5}\)
c) Ta có: \(\dfrac{-21}{13}x+\dfrac{1}{3}=\dfrac{-2}{3}\)
\(\Leftrightarrow x\cdot\dfrac{-21}{13}=-1\)
hay \(x=\dfrac{13}{21}\)
Vậy: \(x=\dfrac{13}{21}\)