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a) Ta có: \(\dfrac{9}{5}:\dfrac{17}{5}+\dfrac{8}{5}:\dfrac{17}{15}\)
\(=\dfrac{9}{5}\cdot\dfrac{5}{17}+\dfrac{8}{5}\cdot\dfrac{15}{17}\)
\(=\dfrac{9}{17}+\dfrac{24}{17}=\dfrac{33}{17}\)
9/5 : 17/15 + 8/5 : 17/15= 17/15 : ( 9/5 + 8,5 )
= 17/15 : 17/5
= 1/3
2/5 + 3/4 = 23/40
7/12 - 2/7 + 1/12 = 25/84 + 1/12 = 8/21
12/17 - 5/17 - 4/17 = 3/17
OK
\(\frac{2}{5}+\frac{3}{4}=\frac{8}{20}+\frac{15}{20}=\frac{23}{20}\)
\(\frac{7}{12}-\frac{2}{7}+\frac{1}{12}=\left(\frac{7}{12}+\frac{1}{12}\right)-\frac{2}{7}=\frac{2}{3}-\frac{2}{7}=\frac{14}{21}-\frac{6}{21}=\frac{8}{21}\)
\(\frac{12}{17}-\frac{5}{17}-\frac{4}{17}=\frac{12-5-4}{17}=\frac{3}{17}\)
\(\frac{9}{5}:\frac{17}{15}+\frac{8}{5}:\frac{17}{15}=\frac{9}{5}.\frac{15}{17}+\frac{8}{5}.\frac{15}{17}=\frac{15}{17}\left(\frac{9}{5}+\frac{8}{5}\right)=\frac{15}{17}.\frac{17}{5}=3\)
\(\frac{9}{5}:\frac{17}{15}+\frac{8}{5}:\frac{17}{15}\)= \(\left(\frac{9}{5}+\frac{8}{5}\right):\frac{17}{15}\)
=\(\frac{17}{5}.\frac{15}{17}\)= 3