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\(\left(\frac{575757}{424242}+\frac{575757}{565656}+\frac{575757}{727272}\right)\cdot18\)
\(=\left(\frac{19}{14}+\frac{57}{56}+\frac{19}{24}\right)\cdot18\)
\(=\left(\frac{228+171+133}{168}\right)\cdot18\)
\(=\frac{532}{168}\cdot18\)
\(=\frac{19}{6}\cdot8\)
\(=\frac{76}{3}\)
Ta có :
\(\frac{1960}{1008}=\frac{1960:56}{1008:56}=\frac{35}{18}\)
\(\frac{1200}{1728}=\frac{1200:48}{1728:48}=\frac{25}{36}\)
\(\frac{131313}{919191}=\frac{131313:131313}{919191:131313}=\frac{1}{7}\)
\(\frac{575757}{191919}=575757:191919=3\)
1960/1008 = 35/18
1200/1728 = 25/36
131313/919191 = 1/7
575757/191919 = 3
\(\left(1-\frac{1}{2}\right)\cdot\left(1-\frac{1}{3}\right)\cdot\left(1-\frac{1}{4}\right)\cdot\left(1-\frac{1}{5}\right)=\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot\frac{4}{5}=\frac{1\cdot2\cdot3\cdot4}{2\cdot3\cdot4\cdot5}=\frac{1}{5}\)
=4/5x5/6x...x99/100
=4x5x6x...x99/5x6x7x...x100
=4/100=1/25
= 3/2 + 4/3 + 5/4 ................................ 100/99
= 100/2 = 50
[ 19/20 x 3/4 + 1/20 x 3/4 ] x [ 1/2 x 3/4 -2/4 x 3/4 ]
=[ 3/4 x [19/20 + 1/20 ] x [3/4 x [2/4 - 1/2]
=[ 3/4 x 1 ] x [3/4 x 0 ]
=0
\(\left(\frac{19}{20}.\frac{3}{4}+\frac{1}{20}.\frac{3}{4}\right).\left(\frac{1}{2}.\frac{3}{4}-\frac{2}{4}.\frac{3}{4}\right)\)
\(=\left(\frac{19}{20}.\frac{3}{4}+\frac{1}{20}.\frac{3}{4}\right).\left(\frac{1}{2}.\frac{3}{4}-\frac{1}{2}.\frac{3}{4}\right)\)
\(=\left(\frac{19}{20}.\frac{3}{4}+\frac{1}{20}.\frac{3}{4}\right).0\)
\(=0\)
\(=\left(\frac{57}{42}+\frac{57}{56}+\frac{57}{72}\right)\times18\)
\(=\frac{19}{6}\times18=57\)
= (57/42 +57/56 + 57/72),18
=(1/6.7 +1/7.8 +1/8.9).18.57
=(1/6-1/7 +1/7 -1/8 +1/8-1/9).18.57
=(1/6-1/9) .18 .57
=57.3 - 57.2
=57