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Lỗi rồi nha! -_-

1. 

a) \(\frac{13}{8}:\frac{13}{4}=\frac{1}{2}=0,5=50\%\)

b) \(12,5:2,5=5=500\%\)

~ Hok tốt ~

2.

\(\left(\frac{37}{9}+\frac{13}{4}\right).\frac{9}{4}+\frac{11}{4}\)

\(=\frac{265}{36}.\frac{9}{4}+\frac{11}{4}\)

\(=\frac{265}{16}+\frac{11}{4}\)

\(=\frac{309}{16}\)

\(1+\left(\frac{9}{10}-\frac{4}{5}\right):\frac{19}{6}\)

\(=1+\frac{1}{10}:\frac{19}{6}\)

\(=1+\frac{3}{95}\)

\(=\frac{98}{95}\)

\(\left(-7+\left|13\right|\right)-\left(13-\left|-7\right|-25\right)-\left(25+\left|-10\right|-9\right)\)

\(=\left(-7+13\right)-\left(13-7-25\right)-\left(25+10-9\right)\)

\(=-7+13-13+7+25-25-10+9\)

\(=\left(-7+7\right)+\left(13-13\right)+\left(25-25\right)-10+9\)

\(=0+0+0-10+9\)

\(=-10+9\)

\(=-1\)

~ Hok tốt ~

3.

\(2x+\frac{1}{4}=\frac{3}{2}\)

\(2x=\frac{3}{2}-\frac{1}{4}\)

\(2x=\frac{5}{4}\)

\(x=\frac{5}{4}:2\)

\(x=\frac{5}{8}\)

\(\left(x-5\right)-\frac{1}{3}=\frac{2}{5}\)

\(x-5=\frac{2}{5}+\frac{1}{3}\)

\(x-5=\frac{11}{15}\)

\(x=\frac{11}{15}+5\)

\(x=\frac{86}{15}\)

\(\left(4,5-2x\right):\frac{3}{4}=\frac{4}{3}\)

\(\left(\frac{9}{2}-2x\right):\frac{3}{4}=\frac{4}{3}\)

\(\frac{9}{2}-2x=\frac{4}{3}.\frac{3}{4}\)

\(\frac{9}{2}-2x=1\)

\(2x=\frac{9}{2}-1\)

\(2x=\frac{7}{2}\)

\(x=\frac{7}{2}:2\)

\(x=\frac{7}{4}\)

~ Hok tốt ~

3) \(-12+2x-9+x=0\\ -21+3x=0\\ 3x=21\\ x=7\)

4)
\(11+\left(15-x\right)=1\)
\(15-x=1-11\)
\(15-x=-10\)
\(x=15-\left(-10\right)\)
\(x=25\)

5) 
\(4-\left(27-3\right)=x-\left(13-4\right)\)
\(4-24=x-9\)
\(x-9=-20\)
\(x=-20+9\)
\(x=-11\)
 

\(3.-12+\left(2x-9\right)+x=0.\)

\(\Leftrightarrow-12+2x-9+x=0.\Leftrightarrow3x=21.\Leftrightarrow x=7.\)

Vậy \(x=7.\)

\(4.11+\left(15-x\right)=1.\Leftrightarrow11+15-x=1.\Leftrightarrow26-x=1.\Leftrightarrow x=25.\)

Vậy \(x=25.\)

\(5.4-\left(27-3\right)=x-\left(13-4\right).\Leftrightarrow4-24=x-9.\Leftrightarrow-20=x-9.\Leftrightarrow x=-11.\)

Vậy \(x=-11.\)

\(6.8-\left(x-10\right)=23-\left(-4+12\right).\Leftrightarrow8-x+10=23-8.\Leftrightarrow18-x=15.\Leftrightarrow x=3.\)

Vậy \(x=3.\)

\(7.105-5\left(10-5x\right)=-20.\Leftrightarrow105-50+25x=-20.\Leftrightarrow25x=-75.\Leftrightarrow x=-3.\)

Vậy \(x=-3.\)

\(8.\left(x-1\right)\left(8-2x\right)\left(3x+123\right)=0.\)

\(\Leftrightarrow\left[{}\begin{matrix}x-1=0.\\8-2x=0.\\3x+123=0.\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1.\\x=4.\\x=-41.\end{matrix}\right.\)

Vậy \(x\in\left\{1;4;-41\right\}.\)

\(9.\left(x^2-25\right)\left(x+10\right)=0.\)

\(\Leftrightarrow\left(x-5\right)\left(x+5\right)\left(x+10\right)=0.\)

\(\Leftrightarrow\left[{}\begin{matrix}x-5=0.\\x+5=0.\\x+10=0.\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=5.\\x=-5.\\x=-10.\end{matrix}\right.\)

Vậy \(x\in\left\{5;-5;-10\right\}.\)

\(10.x\left(x^2+5\right)=0.\Leftrightarrow x=0.\)

Bài 1 :

\(a)\frac{-17}{30}-\frac{11}{-15}+\left(-\frac{7}{12}\right)\)

\(=\frac{1}{6}+\left(-\frac{7}{12}\right)\)

\(=-\frac{5}{12}\)

\(b)-\frac{5}{9}+\frac{5}{9}:\left(1\frac{2}{3}-2\frac{1}{12}\right)\)

\(=-\frac{5}{9}+\frac{5}{9}:\left(\frac{5}{3}-\frac{25}{12}\right)\)

\(=-\frac{5}{9}+\frac{5}{9}:\left(-\frac{5}{12}\right)\)

\(=-\frac{5}{9}+\left(-\frac{2}{3}\right)\)

\(=-\frac{1}{9}\)

\(c)-\frac{7}{25}\times\frac{11}{13}+\left(-\frac{7}{25}\right)\times\frac{2}{13}-\frac{18}{25}\)

\(=-\frac{77}{325}+\left(-\frac{14}{325}\right)-\frac{18}{25}\)

\(=-\frac{7}{25}-\frac{18}{25}\)

\(=-1\)

2:

a: x=2,4-0,4=2

b: =>2x=-1,5+0,8=-0,7

=>x=-0,35

c: =>x-16=-15

=>x=1

a; - \(\dfrac{10}{13}\) + \(\dfrac{5}{17}\) - \(\dfrac{3}{13}\) + \(\dfrac{12}{17}\) - \(\dfrac{11}{20}\)

= - (\(\dfrac{10}{13}\) + \(\dfrac{3}{13}\)) + (\(\dfrac{5}{17}\) + \(\dfrac{12}{17}\)) - \(\dfrac{11}{20}\)

= - 1 + 1  - \(\dfrac{11}{20}\)

=   0 - \(\dfrac{11}{20}\)

= - \(\dfrac{11}{20}\)

b; \(\dfrac{3}{4}\) + \(\dfrac{-5}{6}\) - \(\dfrac{11}{-12}\)

= \(\dfrac{9}{12}\) - \(\dfrac{10}{12}\) + \(\dfrac{11}{12}\)

= \(\dfrac{10}{12}\)

= \(\dfrac{5}{6}\)

c; [13.\(\dfrac{4}{9}\) + 2.\(\dfrac{1}{9}\)] - 3.\(\dfrac{4}{9}\)

= [\(\dfrac{52}{9}\) + \(\dfrac{2}{9}\)] - \(\dfrac{4}{3}\)

= \(\dfrac{54}{9}\) - \(\dfrac{4}{3}\)

= \(\dfrac{14}{3}\)

d; 1,25 : \(\dfrac{15}{20}\) + [25% - \(\dfrac{5}{6}\)] : 4.\(\dfrac{2}{3}\)

= 1,25  x \(\dfrac{20}{15}\) + [\(\dfrac{1}{4}\) - \(\dfrac{5}{6}\)] : 4.\(\dfrac{2}{3}\)

=  \(\dfrac{5}{3}\) - \(\dfrac{7}{12}\) : 4 x \(\dfrac{2}{3}\)

= \(\dfrac{5}{3}\) - \(\dfrac{7}{48}\).\(\dfrac{2}{3}\)

= \(\dfrac{5}{3}\) - \(\dfrac{7}{72}\)

= \(\dfrac{113}{72}\)

a) \(-1\frac{1}{15}:2\frac{1}{2}=-\frac{16}{15}:\frac{5}{2}=-\frac{16}{15}\cdot\frac{2}{5}=-\frac{32}{75}\)

b) \(\frac{1}{3}-\frac{5}{14}\cdot\frac{21}{25}=\frac{1}{3}-\frac{1}{2}\cdot\frac{3}{5}=\frac{1}{3}-\frac{3}{10}=\frac{1}{30}\)

c) \(\frac{-5}{7}\cdot\frac{2}{11}+\frac{-5}{7}\cdot\frac{9}{11}+1\frac{5}{7}\)

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

\(=-\frac{5}{7}\cdot1+\frac{12}{7}=-\frac{5}{7}+\frac{12}{7}=\frac{7}{7}=1\)

d) \(8\frac{1}{4}-\left(2\frac{5}{9}+3\frac{1}{4}\right)=8\frac{1}{4}-2\frac{5}{9}-3\frac{1}{4}=\left(8\frac{1}{4}-3\frac{1}{4}\right)-2\frac{5}{9}\)

\(=5-2\frac{5}{9}=5-\frac{23}{9}=\frac{22}{9}\)

e) \(\frac{1}{4}\cdot\frac{12}{13}+\frac{1}{4}\cdot\frac{1}{13}-25=\frac{1}{4}\left(\frac{12}{13}+\frac{1}{13}\right)-25=\frac{1}{4}\cdot1-25=\frac{1}{4}-25=-\frac{99}{4}\)

bn ơi sao câu b ở đâu ra 1/2 vậy

Trương Bùi Linh Đây :

\(\frac{5}{14}.\frac{21}{25}=\frac{5}{2.7}.\frac{3.7}{5.5}=\frac{1}{2}.\frac{3}{5}\)