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A =\(\frac{2}{5}\times\frac{4}{7}+\frac{3}{5}\times\frac{4}{7}\) B = \(\frac{17}{13}\times\frac{12}{17}-\frac{4}{13}\times\frac{12}{17}\) C = \(\frac{9}{14}:\frac{6}{7}+\frac{5}{14}:\frac{6}{7}\) D =\(\frac{9}{12}:\frac{7}{9}\times\frac{12}{19}\)
= \(\frac{4}{7}\times\left(\frac{2}{5}+\frac{3}{5}\right)\) =\(\left(\frac{17}{13}-\frac{4}{13}\right)\times\frac{12}{17}\) = \((\frac{9}{14}+\frac{5}{14}):\frac{6}{7}\) = \(\frac{9}{12}\times\frac{9}{7}\times\frac{12}{19}\)
=\(\frac{4}{7}\times1\) = \(1\times\frac{12}{17}\) = \(1:\frac{6}{7}\) = \(\frac{9\times9\times12}{12\times7\times19}\)
=\(\frac{4}{7}\) = \(\frac{12}{17}\) =\(\frac{7}{6}\) = \(\frac{9\times9}{7\times19}=\frac{81}{133}\)
a, \(\frac{7}{5}+\frac{9}{7}+\frac{6}{5}+\frac{11}{7}\)
C1: \(\frac{94}{35}+\frac{6}{5}+\frac{11}{7}=\frac{136}{35}+\frac{11}{7}=5\frac{16}{35}\)
C2: \(=\left(\frac{7}{5}+\frac{6}{5}\right)+\left(\frac{9}{7}+\frac{11}{7}\right)=\frac{13}{5}+\frac{20}{7}=5\frac{16}{35}\)
b,
C1 : \(\frac{8}{14}+\frac{2}{11}+\frac{12}{14}+\frac{31}{11}=\frac{4}{7}+\frac{2}{11}+\frac{6}{7}+\frac{31}{11}=\frac{58}{77}+\frac{6}{7}+\frac{31}{11}=\frac{124}{77}+\frac{31}{11}=4\frac{3}{7}\)
C2:
\(\frac{4}{7}+\frac{2}{11}+\frac{6}{7}+\frac{31}{11}=\left(\frac{4}{7}+\frac{6}{7}\right)+\left(\frac{2}{11}+\frac{31}{11}\right)=\frac{10}{7}+3=3\frac{10}{7}=4\frac{3}{7}\)
**** cko t nha , xin xin đó
a) \(\frac{6}{9}+\frac{5}{7}+\frac{1}{3}\)\(=\frac{2}{3}+\frac{5}{7}+\frac{1}{3}\)\(=\left(\frac{2}{3}+\frac{1}{3}\right)+\frac{5}{7}\)\(=1+\frac{5}{7}=\frac{12}{7}\)
b) \(\frac{17}{7}+\frac{6}{5}-\frac{20}{14}\)\(=\frac{17}{7}+\frac{6}{5}-\frac{10}{7}\)\(=\left(\frac{17}{7}-\frac{10}{7}\right)+\frac{6}{5}\)\(=1+\frac{6}{5}\)\(=\frac{11}{5}\)
c) \(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{72}\)\(=\frac{36}{72}+\frac{12}{72}+\frac{6}{72}+\frac{1}{72}=\frac{36+12+6+1}{72}=\frac{55}{72}\)
_Chúc bạn học tốt_
\(\dfrac{3}{5}.\dfrac{5}{7}+\dfrac{12}{20}.\dfrac{2}{14}+\dfrac{9}{15}.\dfrac{1}{7}\)
\(=\dfrac{3}{7}+\dfrac{3}{35}+\dfrac{3}{35}\)
\(=\dfrac{3}{7}+\dfrac{6}{35}\)
\(=\dfrac{15}{35}+\dfrac{6}{35}\)
\(=\dfrac{21}{35}\)
\(=\dfrac{3}{5}\)
