Tính bằng cách thuận tiện nhất: 5/14x7/13x26/25=
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\(\frac{21}{11}.\frac{22}{17}.\frac{68}{63}=\frac{21.22.68}{11.17.63}=\frac{21.11.2.4.17}{11.17.3.21}=\frac{\left(21.11.17\right).\left(2.4\right)}{\left(11.17.21\right).3}=\frac{2.4}{3}=\frac{8}{3}\)
\(\frac{5}{14}.\frac{7}{13}.\frac{26}{25}=\frac{5.7.26}{14.13.25}=\frac{5.7.13.2}{7.2.13.5.5}=\frac{5.7.13.2}{5.7.13.2.5}=\frac{2}{2.5}=\frac{1}{5}\)
\(a,\frac{21}{11}\cdot\frac{22}{17}\cdot\frac{68}{63}=\frac{21\cdot22\cdot68}{11\cdot17\cdot63}=\frac{21\cdot11\cdot2\cdot17\cdot4}{11\cdot17\cdot21\cdot3}=\frac{8}{3}\)
\(b,\frac{5}{14}\cdot\frac{7}{13}\cdot\frac{26}{25}=\frac{5\cdot7\cdot26}{14\cdot13\cdot25}=\frac{5\cdot7\cdot13\cdot2}{7\cdot2\cdot13\cdot5\cdot5}=\frac{1}{5}\)
a) \(\frac{21}{11}\times\frac{22}{17}\times\frac{68}{63}=\frac{21\times22\times68}{11\times17\times63}\)
\(=\frac{21\times2\times11\times4\times17}{11\times17\times3\times21}\)
\(=\frac{8}{3}\)
b) \(\frac{5}{14}\times\frac{7}{13}\times\frac{26}{25}=\frac{5\times7\times26}{14\times13\times25}\)
\(=\frac{5\times7\times2\times13}{2\times7\times13\times5\times5}\)
\(=\frac{1}{5}\)
\(\frac{21}{11}X\frac{22}{17}X\frac{68}{63}=\frac{952}{357} \)
\(\frac{5}{14}X\frac{7}{13}X\frac{6}{25}=\frac{3}{65}\)
\(\frac{5}{14}\)x \(\frac{7}{13}\) x \(\frac{26}{25}\) = \(\frac{91}{455}\)
Ta có: \(\frac{5}{14}\times\frac{7}{13}\times\frac{26}{25}=\frac{5\times7\times26}{14\times13\times15}=\frac{5\times7\times13\times2}{7\times2\times13\times3\times5}=\frac{1}{3}\)
\(\frac{5}{14}x\frac{7}{13}x\frac{26}{25}\)
=\(\frac{5}{26}x\frac{26}{25}\)
=\(\frac{1}{5}\)