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1) x+14=43x+14=43

⇒x=43−14=1312⇒x=43−14=1312

2) 34:25.x=296034:25.x=2960

⇒25.x=2960−34=−415⇒25.x=2960−34=−415

⇒x=−415.52=−23⇒x=−415.52=−23

3) 134.x+112=−45134.x+112=−45

⇒74.x+32=−45⇒74.x+32=−45

⇒74.x=−45−32=−2310⇒74.x=−45−32=−2310

⇒x=−2310.47=−−4635⇒x=−2310.47=−−4635

4) 1112−(25+x)=231112−(25+x)=23

⇒25+x=1112−23=14⇒25+x=1112−23=14

⇒x=14−25=−320⇒x=14−25=−320

5) 234.x=317:0,01234.x=317:0,01

⇒114.x=117:1100=11007⇒114.x=117:1100=11007

⇒x=11007.411=447⇒x=11007.411=447

6) 2x.(x−17)=02x.(x−17)=0

⇒x−17=0⇒x−17=0 (1) hoặc x=0x=0

(1) ⇒x=17⇒x=17

Vậy x={0;17}x={0;17}

7) 34+14:x=2534+14:x=25

⇒14:x=25−34=−720⇒14:x=25−34=−720

⇒x=14:−720=14.−207=−57⇒x=14:−720=14.−207=−57

8) 3,8:2x=14:2233,8:2x=14:223

⇒1,9x=14:83=14.38=332⇒1,9x=14:83=14.38=332

⇒x=332:1,9=15304⇒x=332:1,9=15304

9) 0,25x:3=56:0,125=56:18=56.8=2030,25x:3=56:0,125=56:18=56.8=203

⇒0,25x=203.3=20⇒0,25x=203.3=20

⇒x=20:0,25=80⇒x=20:0,25=80

10) 113:0,8=23:0,1x113:0,8=23:0,1x

⇒43:45=23:110.x⇒43:45=23:110.x

⇒53=203.x⇒53=203.x

⇒x=53:203=14⇒x=53:203=14

11) 3,2x+(−1,2)x+2,7=−4,93,2x+(−1,2)x+2,7=−4,9

⇒2x+2,7=−4,9⇒2x+2,7=−4,9

⇒2x=−4,9−2,7=−7,6⇒2x=−4,9−2,7=−7,6

⇒x=−3,8⇒x=−3,8

12) |x|−2,2=1,3|x|−2,2=1,3

⇒|x|=1,3+2,2=3,5⇒|x|=1,3+2,2=3,5

⇒x=±3,5⇒x=±3,5

13) |x+34|−13=0|x+34|−13=0

⇒|x+34|=13⇒|x+34|=13

⇒x+34=13⇒x=−512⇒x+34=13⇒x=−512

hoặc x+34=−13⇒x=−1312x+34=−13⇒x=−1312

Vậy x={−512;−1312}x={−512;−1312}

14) |x+13|−4=−1|x+13|−4=−1

⇒|x+13|=−1+4=3⇒|x+13|=−1+4=3

⇒x+13=3⇒x=83⇒x+13=3⇒x=83

Hoặc x+13=−3⇒x=−3−13=−103x+13=−3⇒x=−3−13=−103

15) Do |x−1,5|≥0|x−1,5|≥0 và |2,5−x|≥0|2,5−x|≥0 với mọi giá trị của xx

⇒|x−1,5|+|2,5−x|=0⇒|x−1,5|+|2,5−x|=0 khi 

⇒x−1,5=0⇒x=1,5⇒x−1,5=0⇒x=1,5 và 2,5−x=0⇒x=2,52,5−x=0⇒x=2,5 (loại vì ra 2 kết quả khác nhau)

a: =-5/9-4/9+8/15+7/15-2/11=-2/11

b: =10/17+7/17-5/13-8/13+11/25

=11/25

c: =(9/12-2/12)*3/2=7/12*3/2=21/24=7/8

d: =(31/10-25/10)*3-2

=3/5*3-2

=9/5-2

=-1/5

26 tháng 2 2022

10/11+9/10 = 199/110

15/30+7/30 = 11/15

1/2+1/3 = 5/6

3/5+11/15 = 4/3

3/4+1/6 = 11/12

5/11+4/11 = 9/11

26 tháng 2 2022

BẠN THẬT XUẤT SẮC 

CẢM ƠN BẠN NHA

CHÚC BAN CUỐI TUẦN VUI VẺ

10 tháng 8 2023

\(\dfrac{21}{36}-\left(-\dfrac{11}{30}\right)=\dfrac{7}{12}+\dfrac{11}{30}=\dfrac{7.5+11.2}{60}=\dfrac{57}{60}=\dfrac{19}{20}\\ ----\\\dfrac{-4}{8}+\left(-\dfrac{3}{10}\right)=\dfrac{-1}{2}-\dfrac{3}{10}=\dfrac{-1.5-3}{10}=\dfrac{-8}{10}=-\dfrac{4}{5}\\ ----\\ \dfrac{7}{12}-\left(-\dfrac{9}{20}\right)=\dfrac{7}{12}+\dfrac{9}{20}=\dfrac{7.5+9.3}{60}=\dfrac{62}{60}=\dfrac{31}{30}\\ ---\\ \dfrac{-2}{5}+\left(-\dfrac{11}{30}\right)=-\dfrac{2}{5}-\dfrac{11}{30}=\dfrac{-2.6-11}{30}=-\dfrac{29}{30}\)

3 tháng 3 2016

Câu 1 ) Sắp xếp theo thứ tự từ bé đến lớn

11 phần 18;7 phần 9;14 phần 15

Câu 2 ) Sắp xếp theo thứ tự từ bé đến lớn

8 phần 9;15 phần 11;9 phần 5

Câu 3 ) So sánh 

3 phần 4 < 5 phần 9

Câu 4 ) So sánh

8 phần 12 < 25 phần 30

Như lời hứa nhớ k nha

3 tháng 3 2016

Cảm ơn bạn Mỹ Chi nhiều nhé

14 tháng 6 2023

\(\left(-\dfrac{1}{2}\right)^2\div\dfrac{1}{4}-2\times\left(-\dfrac{1}{2}\right)^2\\= \dfrac{1}{4}\div\dfrac{1}{4}-2\times\dfrac{1}{4}\\ =1-\dfrac{1}{2}\\ =\dfrac{1}{2}\)

\(\left(-2\right)^3\times-\dfrac{1}{24}+\left(\dfrac{4}{3}-1\dfrac{5}{6}\right)\div\dfrac{5}{12}\)

=  \(-6\times-\dfrac{1}{24}+\left(\dfrac{4}{3}-\dfrac{11}{6}\right)\div\dfrac{5}{12}\)

=  \(\dfrac{1}{4}+-\dfrac{1}{2}\div\dfrac{5}{12}\)

=  \(\dfrac{1}{4}+-\dfrac{6}{5}\)

=  \(\dfrac{1}{4}-\dfrac{6}{5}\)

=  \(-\dfrac{19}{20}\)

\(\left(6\dfrac{4}{9}+\dfrac{7}{11}\right)-\left(4\dfrac{4}{9}-2\dfrac{4}{11}\right)\\ =\dfrac{58}{9}+\dfrac{7}{11}-\dfrac{40}{9}+\dfrac{26}{11}\\ =\dfrac{58}{9}-\dfrac{40}{9}+\dfrac{7}{11}+\dfrac{26}{11}\\ =12+3\\ =15\)

14 tháng 6 2023

\(a,\left(\dfrac{-1}{2}\right)^2:\dfrac{1}{4}-2\left(-\dfrac{1}{2}\right)^2\)

\(=\left(-\dfrac{1}{2}\right)^2\left(4-2\right)\)

\(=\dfrac{1}{4}.2=\dfrac{1}{2}\)

\(b,\left(-2\right)^3.\dfrac{-1}{24}+\left(\dfrac{4}{3}-1\dfrac{5}{6}\right):\dfrac{5}{12}\)

\(=\left(-8\right).\dfrac{-1}{24}+\left(-\dfrac{1}{2}\right).\dfrac{12}{5}\)

\(=\dfrac{1}{3}+\left(-\dfrac{1}{5}\right)=\dfrac{2}{15}\)

\(c,\left(6\dfrac{4}{9}+\dfrac{7}{11}\right)-\left(4\dfrac{4}{9}-2\dfrac{4}{11}\right)\)

\(=\dfrac{701}{99}-\dfrac{206}{99}=\dfrac{495}{99}=5\)

\(d,10\dfrac{1}{5}-5\dfrac{1}{2}.\dfrac{60}{11}+\dfrac{3}{15\%}\)

\(=\dfrac{51}{5}-30+20=\dfrac{1}{5}\)

\(e,\dfrac{5}{7}.\dfrac{5}{11}+\dfrac{5}{7}.\dfrac{2}{11}-\dfrac{5}{7}.\dfrac{14}{11}\)

\(=\dfrac{5}{7}\left(\dfrac{5}{11}+\dfrac{2}{11}-\dfrac{14}{11}\right)=\dfrac{5}{7}.\left(-\dfrac{7}{11}\right)\)

\(=-\dfrac{5}{11}\)

\(f,\dfrac{-5}{7}.\dfrac{2}{11}+\left(-\dfrac{5}{7}\right).\dfrac{9}{11}+1\dfrac{5}{7}\)

\(=\left(-\dfrac{5}{7}\right)\left(\dfrac{2}{11}+\dfrac{9}{11}\right)+\dfrac{12}{7}\)

\(=\left(-\dfrac{5}{7}\right)+\dfrac{12}{7}=1\)

12 tháng 8 2018

a) \(B=\frac{3}{2.5}+\frac{3}{5.8}+\frac{3}{8.11}+\frac{3}{11.14}\)

      \(=\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}-\frac{1}{8}+\frac{1}{11}+\frac{1}{11}-\frac{1}{14}\)

       \(=\frac{1}{2}-\frac{1}{14}=\frac{3}{7}\)

b) Ta có : A = \(\frac{3}{1.2}+\frac{3}{2.3}+\frac{3}{3.4}+...+\frac{3}{99.100}\)

                  \(=3.\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{99}-\frac{1}{100}\right)\)

                   \(=3.\left(1-\frac{1}{100}\right)\)

                     \(=3.\frac{99}{100}=\frac{297}{100}\)

23 tháng 5

  \(\dfrac{1}{2}+\dfrac{3}{4}-\left(\dfrac{3}{4}-\dfrac{4}{5}\right)\)

=\(\dfrac{1}{2}+\dfrac{3}{4}-\dfrac{3}{4}+\dfrac{4}{5}\)

=\(\left(\dfrac{1}{2}+\dfrac{4}{5}\right)+\left(\dfrac{3}{4}-\dfrac{3}{4}\right)\) 

=\(\left(\dfrac{5}{10}+\dfrac{8}{10}\right)+0\)

=\(\dfrac{13}{10}\)

23 tháng 5

\(-\dfrac{7}{25}.\dfrac{11}{13}+\left(-\dfrac{7}{25}\right).\dfrac{2}{13}-\dfrac{18}{25}\)

=\(-\dfrac{7}{25}.\cdot\left(\dfrac{11}{13}+\dfrac{2}{13}\right)-\dfrac{18}{25}\) 

=\(-\dfrac{7}{25}.1-\dfrac{18}{25}\) 

=\(-\dfrac{7}{25}-\dfrac{18}{25}\) 

=\(-\dfrac{25}{25}\) = \(-1\)

22 tháng 7 2016

1)C= 1/5+1/10+1/20+1/40+...+1/1280

\(=\frac{1}{5}\left(1+\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^8}\right)\)

Đặt cái trong ngoặc là A ta có:\(2A=2+1+...+\frac{1}{2^7}\)

\(2A-A=\left(2+1+...+\frac{1}{2^7}\right)-\left(1+\frac{1}{2}+...+\frac{1}{2^8}\right)\)

\(A=2-\frac{1}{2^8}\).Thay A vào ta được:\(C=\frac{1}{5}\left(2-\frac{1}{2^8}\right)=\frac{1}{5}\cdot\frac{511}{256}=\frac{511}{1280}\)

2)D= 2/1*3+2/3*5+2/5*10+2/7*9+2/9*11+2/11*18+2/13*15

\(=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{13}-\frac{1}{15}\)

\(=1-\frac{1}{15}\)

\(=\frac{14}{15}\)

3)E= 4/3*7+4/7*11+4/11*15+4/15*19+4/19*23+4/23*27

\(=\frac{1}{3}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+...+\frac{1}{23}-\frac{1}{27}\)

\(=\frac{1}{3}-\frac{1}{27}\)

\(=\frac{8}{27}\)

4)G= 1/2+1/6+1/12+1/20+1/30+1/42+...+1/110

\(=\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{10.11}\)

\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{10}-\frac{1}{11}\)

\(=1-\frac{1}{11}\)

\(=\frac{10}{11}\)

5)H= 3/1*2+3/2*3+3/3*4+3/4*5+...+3/9*10

\(=3\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{9}-\frac{1}{10}\right)\)

\(=3\left(1-\frac{1}{10}\right)\)

\(=3\times\frac{9}{10}\)

\(=\frac{27}{10}\).Lần sau bạn đăng ít một thôi nhé 

\(a,\frac{3}{20}=\frac{3\times3}{20\times3}=\frac{9}{60}\)

\(\frac{7}{30}=\frac{7\times2}{30\times2}=\frac{14}{60}\)

\(\frac{4}{15}=\frac{4\times4}{15\times4}=\frac{16}{60}\)

\(c,\frac{7}{-30}=\frac{7\times4}{\left(-30\right)\times4}=\frac{28}{-120}\)

\(\frac{3}{-40}=\frac{3\times3}{\left(-40\right)\times3}=\frac{9}{-120}\)

\(-\frac{11}{30}=\frac{\left(-11\right)\times4}{30\times4}=-\frac{44}{120}\)

8 tháng 4 2023

1)\(\dfrac{2}{9}+\dfrac{-3}{4}+\dfrac{5}{30}\)

\(=\dfrac{2.20}{9.20}+\dfrac{-3.45}{4.45}+\dfrac{5.6}{30.6}\)

\(=\dfrac{40}{180}+\dfrac{-135}{180}+\dfrac{30}{180}\)

\(=\dfrac{40+\left(-135\right)+30}{180}\)

\(=\dfrac{-65}{180}\)

\(=\dfrac{-13}{36}\)

2)\(\dfrac{-7}{12}-\dfrac{11}{18}\)

\(=\dfrac{-7.3}{12.3}-\dfrac{11.2}{18.2}\)

\(=\dfrac{-21}{36}-\dfrac{22}{36}\)

\(=\dfrac{-21-22}{36}\)

\(=\dfrac{-43}{36}\)

3)\(\dfrac{7}{8}-\dfrac{-5}{16}\)

\(=\dfrac{7.2}{8.2}-\dfrac{-5}{16}\)

\(=\dfrac{14}{16}-\dfrac{-5}{16}\)

\(=\dfrac{14-\left(-5\right)}{16}\)

\(=\dfrac{19}{16}\)

4)\(\dfrac{3}{8}-\dfrac{-9}{10}-\dfrac{5}{16}\)

\(=\dfrac{3.10}{8.10}-\dfrac{-9.8}{10.8}-\dfrac{5.5}{16.5}\)

\(=\dfrac{30}{80}-\dfrac{-72}{80}-\dfrac{25}{80}\)

\(=\dfrac{30-\left(-72\right)-25}{80}\)

\(=\dfrac{77}{80}\)

 

 

8 tháng 4 2023

1)` 2/9 + -3/4 + 5/30= (40+(-135) + 30 )/180 = -65/180 = -13/36`

 

2) `-7/12 - 11/18=(-21)/36 - 22/36 = -43/36 `

 

3) `7/8 - (-5)/16=14/16- (-5)/16 = 19/16 `

 

4) `3/8 - (-9)/10 - 5/16= (30- (-72) -25)/80=77/80`