tính nhanh : 23/34 x 17/15 x 5/46
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\(\dfrac{23}{34}x\dfrac{17}{15}x\dfrac{5}{46}=\dfrac{23x17x5}{34x15x46}=\dfrac{1}{12}\)
\(\frac{34}{11}\cdot\frac{27}{46}\cdot\frac{23}{17}\cdot\frac{22}{9}\)
\(=\frac{34\cdot27\cdot23\cdot22}{11\cdot46\cdot17\cdot9}\)
\(=\frac{2\cdot17\cdot3\cdot3\cdot3\cdot23\cdot2\cdot11}{11\cdot2\cdot23\cdot17\cdot3\cdot3}\)
\(=\frac{3\cdot2}{1}\)
\(=6\)
=))
a) \(48.19+48.15+134.52\)
\(=48\left(19+15\right)+6968\)
\(=48.34+6968\)
\(=1632+6968\)
\(=8600.\)
b) \(27.121-87.27+73.34\)
\(=27\left(121-87\right)+73.34\)
\(=27.34+73.34\)
\(=34\left(27+73\right)\)
\(=34.100\)
\(=3400.\)
c) \(125.98-125.46-52-25\)
\(=125\left(98-46\right)-52-25\)
\(=125.52-52-25\)
\(=52\left(125-1\right)-25\)
\(=52.124-25\)
\(=6448-25\)
\(=6423.\)
d) \(136.23+136.17-40.36\)
\(=136\left(23+17\right)-40.36\)
\(=136.40-40.36\)
\(=40\left(136-36\right)\)
\(=40.100\)
\(=4000.\)
e) \(66.25+5.66+66.14+33.94\)
\(=33\left(2.50+5.2+14.2+94\right)\)
\(=33\left(50+10+28+94\right)\)
\(=33.182\)
\(=6006.\)
34*56+34+43+34
=34*(56+43+1)
=34*100
=3400
15*23+15+53+15*23+15
=15*(23+53+23+1)
=15*100
=1500
\(1,\frac{2}{3}+\frac{4}{9}+\frac{1}{5}+\frac{2}{15}+\frac{3}{2}-\frac{17}{18}\)
\(< =>\frac{4}{9}+\frac{3}{2}+\left(\frac{2}{3}+\frac{1}{5}+\frac{2}{15}\right)-\frac{17}{18}\)
\(< =>\frac{8}{18}+\frac{27}{18}+\left(\frac{10}{15}+\frac{3}{15}+\frac{2}{15}\right)-\frac{17}{18}\)
\(< =>\frac{35}{18}+1-\frac{17}{18}\)
\(< =>\frac{53}{18}-\frac{17}{18}\)
\(< =>2\)
\(2,\frac{13}{28}\cdot\frac{5}{12}-\frac{5}{28}\cdot\frac{1}{12}\)
\(< =>\left(\frac{13}{28}-\frac{5}{28}\right)\cdot\left(\frac{5}{12}-\frac{1}{12}\right)\)
\(< =>\frac{2}{7}\cdot\frac{1}{3}\)
\(< =>\frac{2}{21}\)
\(3,\frac{19}{4}\cdot\frac{15}{23}-\frac{15}{4}\cdot\frac{7}{23}+\frac{15}{4}\cdot\frac{11}{23}\)
\(< =>\frac{285}{92}-\frac{105}{92}+\frac{165}{92}\)
\(< =>\frac{15}{4}\)
23/34 x17/15 x5/16
= 23/30 x5/46
= 1/12
`23/34 xx 17/15 xx5/46`
`= 23/30 xx 5/46`
`= 1/12`