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a) \(\dfrac{25}{37}\times\dfrac{18}{29}+\dfrac{18}{29}\times\dfrac{12}{37}\)
\(=\dfrac{18}{29}\times\left(\dfrac{25}{37}+\dfrac{12}{37}\right)\)
\(=\dfrac{18}{29}\times\dfrac{37}{37}\)
\(=\dfrac{18}{29}\times1\)
\(=\dfrac{18}{29}\)
b) \(\dfrac{31}{85}\times\dfrac{11}{19}+\dfrac{31}{85}\times\dfrac{12}{19}-\dfrac{42}{19}\times\dfrac{31}{85}\)
\(=\dfrac{31}{85}\times\left(\dfrac{11}{19}+\dfrac{12}{19}-\dfrac{42}{19}\right)\)
\(=\dfrac{31}{85}\times\dfrac{-19}{19}\)
\(=\dfrac{31}{85}\times-1\)
\(=-\dfrac{31}{85}\)
c) \(\dfrac{16}{53}:\dfrac{17}{9}-\dfrac{16}{53}:\dfrac{17}{8}\)
\(=\dfrac{16}{53}:\left(\dfrac{9}{17}-\dfrac{8}{17}\right)\)
\(=\dfrac{16}{53}:\dfrac{1}{17}\)
\(=\dfrac{16}{901}\)
c) \(\dfrac{1}{5}\times\dfrac{12}{31}\times\dfrac{4}{3}+\dfrac{19}{31}\times\dfrac{4}{15}\)
\(=\dfrac{4}{15}\times\dfrac{12}{31}+\dfrac{19}{31}\times\dfrac{4}{15}\)
\(=\dfrac{4}{15}\times\left(\dfrac{12}{31}+\dfrac{19}{31}\right)\)
\(=\dfrac{4}{15}\times\dfrac{31}{31}\)
\(=\dfrac{4}{15}\times1\)
\(=\dfrac{4}{15}\)
a: =18/29*(25/37+12/37)
=18/29
b: =31/85(11/19+12/19-42/19)
=-31/85
c; =16/53(9/17+8/17)=16/53
d: =4/15(12/31+19/31)=4/15
Ta có : A=20/11×13 + 20/13×15 +20/15×17+...+20/53×55
A = 10 ×( 2/11×13+2/13×15+...12/53×55)
A = 10 ×(1/11-1/13+1/13-1/15+1/15-1/17+...+1/53-1/55)
A = 10 × (1/11-1/55)
A =10 × 4/55
A = 8/11
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a) 81 + 243 + 19 = (81 + 19) + 243
= 100 + 143 = 243
b) 168 + 79 + 132 = (168 + 132) + 79
= 300 + 79 = 379
c) 5 x 25 x 2 x 16 x 4 = (5 x 2) x (25 x 4) x 16
= 10 x 100 x 16 = 16000
d) 32 x 47 + 32 x 53 = 32 x (47 + 53)
= 32 x 100 = 3200
e) 26 + 27 + 28 + 29 + 30 + 31 + 32 = (26 + 32) + (27 + 31) + (28 + 30) + 29
= 58 + 58 + 58 + 29
= 58 x 3 + 29 = 174 + 29 = 203
a) ( 735 - 135 ) + ( 243 - 143 ) = 600 + 100
= 700
b) 31 x ( 118 - 48 ) = 31 x 70
= 2170
c) ( 25 x 32 ) x7 = 800 x 7
= 2400
d ) 47 x ( 63 + 47 ) - 38
= 47 x 100 - 38
= 4700 - 38
=4662
h ) ( 53 + 47 ) x ( 39 + 21 ) = 100 x 60
= 6000
a) \(\left(145\times99+145\right)-\left(143\times102-143\right)\)
\(=\left[145\times\left(99+1\right)\right]-\left[143\times\left(102-1\right)\right]\)
\(=\left(145\times100\right)-\left(143\times101\right)\)
\(=14500-14443\)
\(=57\)
b) \(54\times47-47\times53-20-27\)
\(=47\times\left(54-53\right)-20-27\)
\(=47-20-27\)
\(=0\)
c) \(10000-47\times72-47\times28\)
\(=10000-47\times\left(72+28\right)\)
\(=10000-47\times100\)
\(=10000-4700\)
\(=5300\)
d) \(3457-27\times48-48\times73+6543\)
\(=\left(3457+6543\right)-48\times\left(27+73\right)\)
\(=10000-48\times100\)
\(=10000-4800\)
\(=5200\)
12 x 53 + 53 x 17 - 53 x 84
= 53 x ( 12 + 17 - 84 )
= 53 x - 29
= -2915
\(\frac{31}{53}.\frac{17}{28}+\frac{31}{28}.\frac{11}{53}\)
\(=\frac{31}{53}.\frac{17}{28}+\frac{11}{28}.\frac{31}{53}\)
\(=\frac{31}{53}.\left(\frac{17}{28}+\frac{11}{28}\right)\)
\(=\frac{31}{53}.1\)
\(=\frac{31}{53}\)
\(\frac{31}{53}\times\frac{17}{28}+\frac{31}{28}\times\frac{11}{53}\)
\(=\frac{31}{53}\times\frac{17}{28}+\frac{31}{53}\times\frac{11}{28}\)
\(=\frac{31}{53}\times\left(\frac{17}{28}+\frac{11}{28}\right)\)
\(=\frac{31}{53}\times1\)
\(=\frac{31}{53}\)