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3 tháng 9 2021

\(\dfrac{3}{17}+\dfrac{-8}{15}+\dfrac{-3}{17}+\dfrac{8}{15}+\dfrac{2018}{2019}=\left(\dfrac{3}{17}-\dfrac{3}{17}\right)+\left(\dfrac{8}{15}-\dfrac{8}{15}\right)+\dfrac{2018}{2019}=\dfrac{2018}{2019}\)

\(\dfrac{3}{17}+\dfrac{-8}{15}+\dfrac{-3}{17}+\dfrac{8}{15}+\dfrac{2018}{2019}\)

\(=0+0+\dfrac{2018}{2019}\)

\(=\dfrac{2018}{2019}\)

13 tháng 8 2019

a, Vì  A, B < 1

\(A=\frac{15^{16}+1}{15^{17}+1}< \frac{15^{16}+1+14}{15^{17}+1+14}=\frac{15^{16}+15}{15^{17}+15}=\frac{15\left(15^{15}+1\right)}{15\left(15^{16}+1\right)}=\frac{15^{15}+1}{15^{16}+1}\)

b, \(B=\frac{2018^{2018}+1}{2018^{2019}+1}< 1< \frac{2018^{2019}+1}{2018^{2018}+1}=A\)

8 tháng 8 2017

\(\frac{19}{37}+\left(1-\frac{19}{37}\right)\)

\(=\frac{19}{37}+1-\frac{19}{37}\)
\(=\left(\frac{19}{37}-\frac{19}{37}\right)+1\)

\(=0+1=1\)

`#3107.101107`

\(-16 \div (-8)+5[3-15\div5+2(-3+4)]\)

`= 2 + 5(3 - 3 - 6 + 8)`

`= 2 + 5*(-6 + 8)`

`= 2 + 5*2`

`= 2(5 + 1)`

`= 2*6 = 12`

____

`15*(-236)+15*235`

`= 15 * (-236 + 235)`

`= 15 * (-1)`

`= -15`

____

`237*(-28)+28*137`

`= 28 * (-237 + 137)`

`= 28 * (-100)`

`= -2800`

____

`(-3)*(-17)+3*(120-17)`

`= 3 * 17 + 3 * (120 - 17)`

`= 3 * (17 + 120 - 17)`

`= 3 * 120`

`= 360`

____

`(-8)*72+8*(-19)-(-8)`

`= 8 * (-72) + 8 * (-19) + 8`

`= 8 * (-72 - 19 + 1)`

`= 8 * (-90)`

`= -720`

24 tháng 12 2023

a)−16÷(−8)+5[3−15÷5+2(−3+4)]

=2+5(3−3−6+8)

=2+5⋅(−6+8)

=2+5⋅2

=2(5+1)

=2⋅6

=12

b)15⋅(−236)+15⋅235

=15⋅(−236+235)

=15⋅(−1)

=−15

c)237⋅(−28)+28⋅137

=28⋅(−237+137)

=28⋅(−100)

=−2800

d)(−3)⋅(−17)+3⋅(120−17)

=3⋅17+3⋅(120−17)

=3⋅(17+120−17)

=3⋅120

=360

e)(−8)⋅72+8⋅(−19)−(−8)

=8⋅(−72)+8⋅(−19)+8

=8⋅(−72−19+1)

=8⋅(−90)

=−720

3 tháng 3 2020

?????

a: \(=\dfrac{3}{5}:\dfrac{7}{5}=\dfrac{3}{5}\cdot\dfrac{5}{7}=\dfrac{3}{7}\)

b: \(=\dfrac{9}{17}\left(\dfrac{8}{5}-\dfrac{3}{5}\right)+\dfrac{8}{17}\)

=9/17+8/17=1

c: =>x-3/10=7/15*1/5=7/75

=>x=7/75+3/10=59/150

\(=\dfrac{8}{23}+\dfrac{3}{19}-\dfrac{15}{17}-\dfrac{2}{17}+\dfrac{15}{23}=\dfrac{3}{19}\)