1 ) \(\frac{x}{12}-\frac{5}{6}=\frac{1}{12}\)
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Cau A dat thua so chung la ra
Cau B tach mau thanh h cua 2 thua so lien tiep
Câu 1:
a)\(\frac{3}{4}-0,25-\left[\frac{7}{3}+\left(-\frac{9}{2}\right)\right]-\frac{5}{6}\)
\(=\frac{3}{4}-\frac{1}{4}-\frac{14}{6}+\frac{27}{6}-\frac{5}{6}\)
\(=\frac{1}{2}-\frac{4}{3}\)
\(=-\frac{5}{6}\)
b)\(7+\left(\frac{7}{12}-\frac{1}{2}+3\right)-\left(\frac{1}{12}+5\right)\)
\(=7+\frac{1}{12}+3-\frac{1}{12}-5\)
\(=5\)
Câu 2:
\(\frac{3}{4}-\frac{5}{6}\le\frac{x}{12}< 1-\left(\frac{2}{3}-\frac{1}{4}\right)\)
\(-\frac{1}{12}\le\frac{x}{12}< 1-\frac{5}{12}\)
\(-\frac{1}{12}\le\frac{x}{12}< \frac{7}{12}\)
Vậy -1\(\le\)x<7
\(-\frac{5}{9}-\left(-\frac{5}{12}\right)\)
\(=-\frac{5}{9}+\frac{5}{12}\)
\(=-\frac{5}{36}\)
*Tìm x
\(-\frac{5}{6}-x=\frac{7}{12}+\left(-\frac{1}{3}\right)\)
\(\Rightarrow-\frac{5}{6}-x=\frac{1}{4}\)
\(\Rightarrow x=-\frac{5}{6}-\frac{1}{4}\)
\(\Rightarrow x=-\frac{13}{12}\)
\(\frac{-5}{9}-\frac{-5}{12}\)
= \(\frac{-20}{36}-\frac{-15}{36}\)
= \(\frac{-5}{36}\)
Tìm x:
\(\frac{-5}{6}-x=\frac{7}{12}+\frac{-1}{3}\)
\(\frac{-5}{6}-x=\frac{7}{12}+\frac{-4}{12}\)
\(\frac{-5}{6}-x=\frac{1}{4}\)
\(x=\frac{-5}{6}-\frac{1}{4}\)
\(x=\frac{-10}{12}-\frac{3}{12}\)
\(x=\frac{-13}{12}\)
\(\Rightarrow\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+\frac{1}{42}\cdot\frac{x}{3}=\frac{5}{21}\)
\(\Rightarrow\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{42}\cdot\frac{x}{3}=\frac{5}{21}\)
\(\Rightarrow\frac{1}{2}-\frac{1}{6}+\frac{1}{42}\cdot\frac{x}{3}=\frac{5}{21}\)
\(\Rightarrow\frac{1}{3}+\frac{1}{42}\cdot\frac{x}{3}=\frac{5}{21}\)
\(\Rightarrow\frac{1}{42}\cdot\frac{x}{3}=\frac{5}{21}-\frac{1}{3}\)
\(\Rightarrow\frac{1}{42}\cdot\frac{x}{3}=\frac{-2}{21}\)
\(\Rightarrow\frac{x}{3}=\frac{-2}{21}\div\frac{1}{42}\)
\(\Rightarrow\frac{x}{3}=-4\)
\(\Rightarrow\frac{x}{3}=\frac{-12}{3}\)
\(\Rightarrow x=-12\)
Nếu bạn để dài như vậy chắc chẳng ai muốn làm đâu, bạn tách ra từng phần đi
\(\frac{x}{12}-\frac{5}{6}=\frac{1}{12}\)
\(\frac{x}{12}-\frac{10}{12}=\frac{1}{12}\)
\(\Rightarrow x-10=1\)
\(x=1+10\)
\(x=11\)