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\(1,\frac{2}{3}+\frac{4}{9}+\frac{1}{5}+\frac{2}{15}+\frac{3}{2}-\frac{17}{18}\)
\(< =>\frac{4}{9}+\frac{3}{2}+\left(\frac{2}{3}+\frac{1}{5}+\frac{2}{15}\right)-\frac{17}{18}\)
\(< =>\frac{8}{18}+\frac{27}{18}+\left(\frac{10}{15}+\frac{3}{15}+\frac{2}{15}\right)-\frac{17}{18}\)
\(< =>\frac{35}{18}+1-\frac{17}{18}\)
\(< =>\frac{53}{18}-\frac{17}{18}\)
\(< =>2\)
\(2,\frac{13}{28}\cdot\frac{5}{12}-\frac{5}{28}\cdot\frac{1}{12}\)
\(< =>\left(\frac{13}{28}-\frac{5}{28}\right)\cdot\left(\frac{5}{12}-\frac{1}{12}\right)\)
\(< =>\frac{2}{7}\cdot\frac{1}{3}\)
\(< =>\frac{2}{21}\)
\(3,\frac{19}{4}\cdot\frac{15}{23}-\frac{15}{4}\cdot\frac{7}{23}+\frac{15}{4}\cdot\frac{11}{23}\)
\(< =>\frac{285}{92}-\frac{105}{92}+\frac{165}{92}\)
\(< =>\frac{15}{4}\)
a: \(3^2+10:2=9+5=14\)
b: \(13\cdot\left(23+17\right)-17\cdot\left(23+13\right)\)
\(=13\cdot23+13\cdot17-17\cdot23-17\cdot13\)
\(=13\cdot23-17\cdot23\)
\(=-4\cdot23=-92\)
c: \(-8+2\left(x-4\right)=2^3\cdot3^2\)
=>\(2\left(x-4\right)-8=8\cdot9=72\)
=>2(x-4)=72+8=80
=>x-4=40
=>x=44
49. (-23 + 2.x) = (-49).(-23 + 14)
49. (-23 + 2.x) = (-49). (-9)
49. (-23 + 2.x) = 441
-23 + 2.x = 441 : 49
-23 + 2.x = 9
2.x = 9 - (-23)
2.x = 32
x = 32 : 2
x = 16
a/57x23+23x44-23
57x23+23x44-23x1
=23x(57+44-1)
=23x100
=2300
b
a) 57 . 23 + 23 . 44 - 23
= 57 . 23 + 23 . 44 - 23 . 1
= ( 57 + 44 - 1 ) . 23
= 100 . 23
= 2300
b) 1672 - [ 49 + ( 13 - 7 )3 ]
= 1672 - [ 49 + 63 ]
= 1672 - [ 49 + 216 ]
= 1672 - 265
= 1407
c) 50 : { 2 . [ 52 - ( 3 . 5 - 22 . 3 )3 ] }
= 50 : { 2 . [ 52 - ( 3 . 5 - 4 . 3 )3 ] }
= 50 : { 2 . [ 52 - ( 3 . 1 )3 ] }
= 50 : { 2 . [ 52 - 27 ] }
= 50 : { 2 . 25 }
= 50 : 50
= 1
d) -2014 + (-999) + 14 + (-2001)
= ( -2014 + 14 ) + [ (-999) + (-2001) ]
= (-2000) + (-3000)
= -5000
Học tốt nhé bạn !