Bài 1 : 

\(=\dfrac{2}{11}+\dfrac{4}{11}-\dfrac{6}{11}-\dfrac{3}{8}-\dfrac{5}{8}=0-1=-1\)

Bài 2 : 

\(\Rightarrow3+x=8\Leftrightarrow x=5\)

Bài 3 : 

\(\Leftrightarrow x-\dfrac{5}{11}=\dfrac{5}{4}\Leftrightarrow x=\dfrac{35}{44}\)

Bài 4 : 

Trong 2 ngày An đọc được số quyên phần quyên sách 

\(\dfrac{1}{11}+\dfrac{8}{11}=\dfrac{9}{11}\)( quyển sách ) 

đs : 9/11 quyển sách 

Bài làm

m) (x + 2).(3 - x) = 0;     

=> x + 2 = 0 hoặc 3 - x = 0

=> x = -2 hoặc x = 3

Vậy x = -2 hoặc x = 3   

d) 5¹¹.7¹² + 5¹¹.7¹¹ 

= 5¹¹ . ( 7¹² + 7¹¹ )

= 5¹¹ . [ 7¹¹ . ( 7 + 1 ) ]

= 5¹¹ . 7¹¹ . 8

= ( 5 . 7 )¹¹ . 8

= 35¹¹ . 8

5¹².7¹² + 9.5¹¹.7¹¹ 

= 5¹¹ ( 5 . 7¹² + 9 . 1 . 7¹¹ )

= 5¹¹ [ 7¹¹ ( 5 . 7 + 9 . 1 . 1 ) ]

= 5¹¹ ( 7¹¹ . 44 )

= 5¹¹ . 7¹¹ . 44

= 35¹¹ . 44

m.  \(\left(x+2\right)\left(3-x\right)=0\Leftrightarrow\orbr{\begin{cases}x+2=0\\3-x=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-2\\x=3\end{cases}}\)

d. \(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}=\frac{5^{11}.\left(7^{12}+7^{11}\right)}{5^{11}.\left(5.7^{12}+9.7^{11}\right)}=\frac{7^{12}+7^{11}}{5.7^{12}+9.7^{11}}=\frac{1}{5.9}=\frac{1}{45}\)

q. \(\left(x-3\right)+\left(x-2\right)+\left(x-1\right)+...+10+11=11\)

\(\Rightarrow\left(x-3\right)+\left(x-2\right)+\left(x-1\right)+...+10=0\)

\(\Rightarrow\left[\left(x-3\right)+\left(x-2\right)+\left(x-1\right)\right]+(1+2+3+...+10)=0\)

\(\Rightarrow\left(x-3\right)+\left(x-2\right)+\left(x-1\right)+55=0\)

\(\Rightarrow x-3+x-2+x-1=-55\)

\(\Rightarrow3x-6=-55\)

\(\Rightarrow3x=-49\)

\(\Rightarrow x=-\frac{49}{3}\)

các bạn tốt quá mình cám ơn rất nhiều

Bài 1:

a: \(x=\dfrac{2}{3}:\dfrac{3}{5}=\dfrac{2}{3}\cdot\dfrac{5}{3}=\dfrac{10}{9}\)

b: \(x=\dfrac{17}{8}:\dfrac{7}{17}=\dfrac{17}{8}\cdot\dfrac{17}{7}=\dfrac{289}{56}\)

c: \(x=-\dfrac{3}{4}:\dfrac{7}{12}=\dfrac{-3}{4}\cdot\dfrac{12}{7}=\dfrac{-63}{28}=-\dfrac{9}{4}\)

d: \(\Leftrightarrow x\cdot\dfrac{1}{6}=\dfrac{3}{8}-\dfrac{1}{4}=\dfrac{1}{4}\)

hay \(x=\dfrac{1}{4}:\dfrac{1}{6}=\dfrac{3}{2}\)

e: \(\Leftrightarrow\dfrac{1}{2}:x=-4-\dfrac{1}{3}=-\dfrac{17}{3}\)

hay \(x=-\dfrac{1}{2}:\dfrac{17}{3}=\dfrac{-3}{34}\)

dad

mk lưu nhầm ảnh ở bài dưới của câu

=`123456789009895436891619370390615895`96312836092419643527671493963894583594783285675 NHA BẠN!?~~~~~~

1) \(=\left(\frac{3}{5}+\frac{2}{5}\right).\frac{6}{11}\)

\(=1.\frac{6}{11}\)

\(=\frac{6}{11}\)

2)\(\frac{17}{25}.\left(\frac{11}{19}+\frac{6}{19}+\frac{2}{19}\right)\)

\(=\frac{17}{25}.1\)

\(=\frac{17}{25}\)

2.\(\frac{17}{25}.\frac{11}{19}+\frac{17}{25}.\frac{6}{19}+\frac{17}{25}.\frac{2}{19}=\frac{17}{25}\left(\frac{11}{19}+\frac{6}{19}+\frac{2}{19}\right)\\ =\frac{17}{25}.1\\ =\frac{17}{25}\)

a. \(\dfrac{3}{4}\) : x - \(\dfrac{17}{5}\) = \(\dfrac{7}{10}\)

\(\dfrac{3}{4}\) : x = \(\dfrac{7}{10}\) + \(\dfrac{17}{5}\)

\(\dfrac{3}{4}\) : x = \(\dfrac{41}{10}\)

x = \(\dfrac{3}{4}\) : \(\dfrac{41}{10}\)

x = \(\dfrac{3}{4}\) . \(\dfrac{10}{41}\)

x = \(\dfrac{15}{82}\)

Vậy x = \(\dfrac{15}{82}\)

a, \(\dfrac{3}{4}:x-\dfrac{17}{5}=\dfrac{7}{10}\)

\(\Rightarrow\dfrac{3}{4}:x=\dfrac{7}{10}+\dfrac{17}{5}\)

\(\Rightarrow\dfrac{3}{4}:x=\dfrac{41}{10}\)

\(\Rightarrow x=\dfrac{3}{4}:\dfrac{41}{10}\)

\(\Rightarrow x=\dfrac{15}{82}\)

b, \(\dfrac{2}{7}+\dfrac{5}{7}x=\dfrac{8}{21}\)

\(\Rightarrow\dfrac{5}{7}x=\dfrac{8}{21}-\dfrac{2}{7}\)

\(\Rightarrow\dfrac{5}{7}x=\dfrac{2}{21}\)

\(\Rightarrow x=\dfrac{2}{21}:\dfrac{5}{7}\)

\(\Rightarrow x=\dfrac{2}{15}\)

c, \(\dfrac{11}{5}-\dfrac{6}{5}:x=\dfrac{4}{7}\)

\(\Rightarrow\dfrac{6}{5}:x=\dfrac{11}{5}-\dfrac{4}{7}\)

\(\Rightarrow\dfrac{6}{5}:x=\dfrac{57}{35}\)

\(\Rightarrow x=\dfrac{6}{5}:\dfrac{57}{35}\)

\(\Rightarrow x=\dfrac{14}{19}\)

d, \(\dfrac{-3}{4}x+\dfrac{3}{4}=\dfrac{11}{12}\)

\(\Rightarrow\dfrac{-3}{4}x=\dfrac{11}{12}-\dfrac{3}{4}\)

\(\Rightarrow\dfrac{-3}{4}x=\dfrac{1}{6}\)

\(\Rightarrow x=\dfrac{1}{6}:\dfrac{-3}{4}\)

\(\Rightarrow x=\dfrac{-2}{9}\)