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`17/20 = 119/140`
`11/14=110/140`
`=> 119/140 > 110/140`
`=> 17/20 > 11/14`
\(\dfrac{17}{20}=\dfrac{17\cdot14}{20\cdot14}=\dfrac{238}{280}\)
\(\dfrac{11}{14}=\dfrac{11\cdot20}{14\cdot20}=\dfrac{220}{280}\)
mà 238>220
nên \(\dfrac{17}{20}>\dfrac{11}{14}\)
Ta có:
\(\dfrac{-3}{17}< 0\)
\(1\dfrac{7}{10}=\dfrac{17}{10}>0\)
Vì \(\dfrac{-3}{17}< 0;\dfrac{17}{10}>0\) nên \(\dfrac{-3}{17}< \dfrac{17}{10}\) hay \(\dfrac{-3}{17}< 1\dfrac{7}{10}\)
Vậy \(\dfrac{-3}{17}< 1\dfrac{7}{10}\)
\(a,\dfrac{-15}{17}=-1+\dfrac{2}{17}\\ -\dfrac{19}{21}=-1+\dfrac{2}{21}\\ Vì:\dfrac{2}{17}>\dfrac{2}{21}\Rightarrow-1+\dfrac{2}{17}>-1+\dfrac{2}{21}\Rightarrow-\dfrac{15}{17}>-\dfrac{19}{21}\\ b,-\dfrac{24}{35}=-1+\dfrac{11}{35};-\dfrac{19}{30}=-1+\dfrac{11}{30}\\ Vì:\dfrac{11}{35}< \dfrac{11}{30}\Rightarrow-1+\dfrac{11}{35}< -1+\dfrac{11}{30}\\ \Rightarrow-\dfrac{24}{35}< -\dfrac{19}{30}\)
a)\(\dfrac{-8}{9}< \dfrac{-7}{9}\\ \dfrac{6}{7}< \dfrac{11}{10}\)
\(\dfrac{-7}{-17}=\dfrac{7}{17}\)
Vì 7>6 nên \(\dfrac{-7}{-17}>\dfrac{6}{17}\)
\(\dfrac{-7}{-17}=\dfrac{7}{17}\)
\(\dfrac{6}{17}\) giữ nguyên
Vì \(7>6\)
\(\Rightarrow\dfrac{-7}{-17}>\dfrac{6}{11}\)