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30 tháng 6 2021
a) Ta có: \(A=\dfrac{7}{12}+\dfrac{5}{12}:6-\dfrac{11}{36}\)
\(=\dfrac{7}{12}+\dfrac{5}{72}-\dfrac{11}{36}\)
\(=\dfrac{42}{72}+\dfrac{5}{72}-\dfrac{22}{72}\)
\(=\dfrac{25}{36}\)
b) Ta có: \(B=\left(\dfrac{4}{5}+\dfrac{1}{2}\right):\left(\dfrac{3}{13}-\dfrac{8}{13}\right)\)
\(=\left(\dfrac{8}{10}+\dfrac{5}{10}\right):\dfrac{-5}{13}\)
\(=\dfrac{13}{10}\cdot\dfrac{13}{-5}\)
\(=-\dfrac{169}{50}\)
c) Ta có: \(C=\left(\dfrac{2}{3}-\dfrac{1}{4}+\dfrac{5}{11}\right):\left(\dfrac{5}{12}+1-\dfrac{7}{11}\right)\)
\(=\left(\dfrac{88}{132}-\dfrac{33}{132}+\dfrac{60}{132}\right):\left(\dfrac{55}{132}+\dfrac{132}{132}-\dfrac{84}{132}\right)\)
\(=\dfrac{115}{132}\cdot\dfrac{132}{103}=\dfrac{115}{103}\)
28 tháng 6 2021
`1a)-17/30-11/(-15)+(-14)/24`
`=-17/30+22/30+(-7)/12`
`=5/30+(-7)/12`
`=1/6-7/12=2/12-7/12=-5/12`
`1b)(-10)/11*4/7+(-10)/11*3/7+1 10/11`
`=(-10)/11*(4/7+3/7)+1+10/11`
`=-10/11+10/11+1=1`
`1c)(5/7*0,6-5:3 1/2).(40%-1,4).(-2)^3`
`=(5/7*3/5-5:7/2).(0,4-1,4).(-8)`
`=(3/7-10/7).(-1).(-8)`
`=8.(-1)=-8`
T
3
22 tháng 6 2021
Bài 1:
a) \(\dfrac{4}{5}-\dfrac{7}{6}+\dfrac{-6}{15}=\dfrac{24}{30}-\dfrac{35}{30}+\dfrac{-12}{30}=\dfrac{24-35+-12}{30}=\dfrac{-23}{30}\)
b) \(\dfrac{-5}{9}.\dfrac{7}{13}+\dfrac{6}{13}.\dfrac{-5}{9}+3\dfrac{7}{9}\)
\(=\dfrac{-5}{9}.\left(\dfrac{7}{13}+\dfrac{6}{13}\right)+\dfrac{34}{9}\)
\(=\dfrac{-5}{9}.1+\dfrac{34}{9}\)
\(=\dfrac{-5}{9}+\dfrac{34}{9}\)
\(=\dfrac{29}{9}\)
c) \(6\dfrac{3}{8}-\left(4\dfrac{3}{8}-\dfrac{1}{2}\right)=\dfrac{51}{8}-\dfrac{35}{8}+\dfrac{1}{2}=\left(\dfrac{51}{8}-\dfrac{35}{8}\right)+\dfrac{1}{2}=2+\dfrac{1}{2}=\dfrac{5}{2}\)
d) \(2\dfrac{1}{3}.1,5-\left(\dfrac{11}{10}+50\%\right):\dfrac{4}{15}\)
\(=\dfrac{7}{3}.1,5-\dfrac{8}{5}:\dfrac{4}{15}\)
\(=\dfrac{7}{2}-6\)
\(=\dfrac{-5}{2}=-2,5\)
4 tháng 6 2021
`B=(2015+2016+2017)/(2016+2017+2018)`
`=2015/(2016+2017+2018)+2016/(2016+2017+2018)+2017/(2016+2017+2018)`
Vì `2015/(2016+2017+2018)<2015/2016`
`2016/(2016+2017+2018)<2016/2017`
`2017/(2016+2017+2018)<2017/2018`
`=>B<A`
OY
4 tháng 6 2021
Bài 5
B= \(\dfrac{2015}{2016+2017+2018}\)+\(\dfrac{2016}{2016+2017+2018}\)+\(\dfrac{2017}{2016+2017+2018}\)
Ta có:\(\dfrac{2015}{2016}\)>\(\dfrac{2015}{2016+2017+2018}\),\(\dfrac{2016}{2017}\)>\(\dfrac{2016}{2016+2017+2018}\),\(\dfrac{2017}{2018}\)>\(\dfrac{2017}{2016+2017+2018}\)
⇒A>B
NM
Nguyễn Minh Quang
Giáo viên
10 tháng 3 2022
ta nhân 3 cả hai vế, được :
\(\left(\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+...+\frac{3}{102.105}\right)x=3\)
hay
\(\left(\frac{4-1}{1.3}+\frac{7-4}{4.7}+...+\frac{105-102}{102.105}\right)x=3\) \(\Leftrightarrow\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+..+\frac{1}{102}-\frac{1}{105}\right)x=3\)
\(\Leftrightarrow\left(1-\frac{1}{105}\right)x=3\Leftrightarrow\frac{104}{105}.x=3\Leftrightarrow x=\frac{315}{104}\)
NT
3
14 tháng 2 2020
125 x13-125 x87
= 125 x ( 13 - 87 )
= 125 x ( -74 )
= -9250
30 tháng 6 2021
a) Ta có: 3x-17=x+3
\(\Leftrightarrow3x-x=3+17\)
\(\Leftrightarrow2x=20\)
hay x=10
b) Ta có: \( \left|x-3\right|-12=\left|-5\right|\)
\(\Leftrightarrow\left|x-3\right|=17\)
\(\Leftrightarrow\left[{}\begin{matrix}x-3=17\\x-3=-17\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=20\\x=-14\end{matrix}\right.\)
Vậy: \(x\in\left\{20;-14\right\}\)
c) Ta có: \(25-\left(x-5\right)=-415-\left(15-415\right)\)
\(\Leftrightarrow25-x+5=-415-15+415\)
\(\Leftrightarrow30-x=-15\)
hay x=45
Vậy: x=45
30 tháng 6 2021
3x - 17 = x + 3
3x = x+3 +17
3x = x+20
3x-x=20
2x = 20
x= 20:2
x = 10
b ) |x-3| -12 = |-5|
|x-3| = 12 + 5
|x-3|=17
\(\left[{}\begin{matrix}x-3=17\\x-3=-17\end{matrix}\right.\) =>\(\left[{}\begin{matrix}x=17-3\\x=-17-3\end{matrix}\right.\)=>\(\left[{}\begin{matrix}x=14\\x=-20\end{matrix}\right.\)
vậy x= 14 hoặc x= -20
c) 25 -(x-5) = -415 -(15-145)
25-(x-5) = 15
x-5 = 25 -15
x-5 = 10
x = 10 - 5
x = 5
5 tháng 8 2018
341 x 67 + 341 x 16 + 659 x 83
= 341 x ( 67 + 16 ) + 659 x 83
= 341 x 83 + 659 x 83
= 83 x ( 341 + 659 )
= 83 x 1000
= 83000
Học tốt nhé :)
5 tháng 8 2018
=341x(67+16)+659x83
=341x83+659x83
=(341+659)x83
=1000x83
=83000
`a)x-3/5=-7/10`
`=>x=-7/10+3/5=-1/10`
Vậy `x=-1/10`
`b)x:19/13=13/5`
`=>x=13/5*19/13`
`=>x=19/5`
Vậy `x=19/5`
`c)2/9-7/8*x=1/3`
`=>7/8*x=2/9-1/3=-1/9`
`=>x=-1/9:7/8=-8/63`
Vậy `x=-8/64`
`d)2/3x-3/2(x-1/2)=5/12`
`=>2/3x-3/2x+3/4=5/12`
`=>-5/6x=5/12-3/4=-7/12`
`=>x=7/10`
Vậy `x=7/10`
`a)x-3/5=-7/10`
`=>x=-7/10+3/5=-1/10`
Vậy `x=-1/10`
`b)x:19/13=13/5`
`=>x=13/5*19/13`
`=>x=19/5`
Vậy `x=19/5`
`c)2/9-7/8*x=1/3`
`=>7/8*x=2/9-1/3=-1/9`
`=>x=-1/9:7/8=-8/63`
Vậy `x=-8/64`
`d)2/3x-3/2(x-1/2)=5/12`
`=>2/3x-3/2x+3/4=5/12`
`=>-5/6x=5/12-3/4=-7/12`
`=>x=7/10`
Vậy `x=7/10`