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\(\frac{9}{35}\cdot\frac{25}{36}=\frac{9\cdot25}{35\cdot36}=\frac{9\cdot5\cdot5}{5\cdot7\cdot4\cdot9}=\frac{5}{28}\)
\(\dfrac{25}{24}\times\dfrac{27}{5}\times2\times\dfrac{34}{9}\times\dfrac{36}{17}\)
\(=(\dfrac{25}{24}\times\dfrac{54}{5})\times\left(\dfrac{34}{9}\times\dfrac{36}{17}\right)\)
\(=\dfrac{45}{4}\times2\times4\)
\(=90\)
a: \(=27\left(77+15\right)+27\cdot8\)
\(=27\cdot92+27\cdot8=27\cdot100=2700\)
b: \(=75\cdot89+75\cdot9+2\cdot75=75\left(89+9+2\right)=75\cdot100=7500\)
c: \(=0.25\left(42.9-11.7+0.8\right)=0.25\cdot32=8\)
d: 738 phút=12,3 giờ
8/9 x 15/16 x 24/25 x...x 2499/2500
= \(\frac{2\times4}{3\times3}\times\frac{3\times5}{4\times4}\times\frac{4\times6}{5\times5}\times...\times\frac{49\times51}{50\times50}\)
= \(\frac{2\times4\times3\times5\times4\times6\times...\times49\times51}{3\times3\times4\times4\times5\times5\times...\times50\times50}\)
= \(\frac{2\times51}{3\times50}\)
= \(\frac{17}{25}\)
\(\frac{8}{9}.\frac{15}{16}.\frac{24}{25}....\frac{2499}{2500}=\frac{8.15...2499}{9.16...2500}=\frac{2.4.3.5...49.51}{3.3.4.4...50.50}=\frac{\left(2.3.4...49.50\right).\left(4.5...49.51\right)}{\left(2.3.4...49.50\right).\left(3.4.5...49.50\right)}=\frac{51}{3.50}\)\(=\frac{17}{50}\)
\(\frac{5}{28};\frac{8}{3}\)
\(\frac{9}{15}\times\frac{25}{36}=\frac{9\times25}{15\times36}=\frac{1\times5}{3\times4}=\frac{5}{12}\)
\(\frac{8}{27}\times9=\frac{8\times9}{27}=\frac{8\times1}{3}=\frac{8}{3}\)