\(3\times x-12=25\\ 3\times x=25+12\\ 3\times x=37\\ x=37:3\\ x=\dfrac{37}{3}\)

\(121:\left(2\times x-1\right)=121\\ 2\times x-1=121:121\\ 2\times x-1=1\\ 2\times x=1+1\\ 2\times x=2\\ x=2:2\\ x=1\)

Bài giải

Đổi: \(2\dfrac{3}{5}dm=\dfrac{13}{5}dm\) 

Độ dài đường chéo lớn là:

\(\dfrac{13}{5}\times2=\dfrac{26}{5}\left(dm\right)\)

Diện tích tờ giấy là:

\(\dfrac{13}{5}\times\dfrac{26}{5}:2=\dfrac{169}{25}\left(dm^2\right)\)

Đ/s: \(\dfrac{169}{25}dm^2\)

\(\left(x-12\right)\times4=18\\ x-12=18:4\\ x-12=4,5\\ x=4,5+12\\ x=16,5\)

\(9:x+3:x=6\\ 9\times\dfrac{1}{x}+3\times\dfrac{1}{x}=6\\ \left(9+3\right)\times\dfrac{1}{x}=6\\ 12\times\dfrac{1}{x}=6\\ \dfrac{1}{x}=6:12\\ \dfrac{1}{x}=\dfrac{1}{2}\\ x=2\)

\(\dfrac{3}{25}=\dfrac{3\times4}{25\times4}=\dfrac{12}{100}\\ \dfrac{7}{8}=\dfrac{7\times125}{8\times125}=\dfrac{875}{1000}\\ \dfrac{9}{45}=\dfrac{9:9}{45:9}=\dfrac{1}{5}=\dfrac{1\times2}{5\times2}=\dfrac{2}{10}\)

Bài giải

Đổi: \(3\dfrac{1}{2}dm=\dfrac{7}{2}dm\) 

Chiều dài mặt ghế là:

\(\dfrac{7}{2}+\dfrac{3}{4}=\dfrac{17}{4}\left(dm\right)\)

Diện tích mặt ghế là:

\(\dfrac{17}{4}\times\dfrac{7}{2}=\dfrac{119}{8}\left(dm^2\right)\)

Chu vi mặt ghế là:

\(\left(\dfrac{17}{4}+\dfrac{7}{2}\right)\times2=\dfrac{31}{2}\left(dm\right)\)

Đ/s: Chu vi: \(\dfrac{31}{2}dm\) ;Diện tích: \(\dfrac{119}{8}dm^2\)

\(\left(x+\dfrac{1}{3}\right)\times\dfrac{9}{14}\times\dfrac{7}{3}-\dfrac{1}{3}=1:\dfrac{9}{5}\\ \Rightarrow\left(x+\dfrac{1}{3}\right)\times\dfrac{3}{2}-\dfrac{1}{3}=\dfrac{5}{9}\\ \Rightarrow\left(x+\dfrac{1}{3}\right)\times\dfrac{3}{2}=\dfrac{5}{9}+\dfrac{1}{3}\\ \Rightarrow\left(x+\dfrac{1}{3}\right)\times\dfrac{3}{2}=\dfrac{8}{9}\\ \Rightarrow x+\dfrac{1}{3}=\dfrac{8}{9}:\dfrac{3}{2}\\ \Rightarrow x+\dfrac{1}{3}=\dfrac{16}{27}\\ \Rightarrow x=\dfrac{16}{27}-\dfrac{1}{3}\\ \Rightarrow x=\dfrac{7}{27}\)

\(2\dfrac{3}{4}=\dfrac{2\times4+3}{4}=\dfrac{11}{4}\\ 3\dfrac{4}{5}=\dfrac{3\times5+4}{5}=\dfrac{19}{5}\\ 4\dfrac{3}{5}=\dfrac{4\times5+3}{5}=\dfrac{23}{5}\\ 11\dfrac{12}{13}=\dfrac{11\times13+12}{13}=\dfrac{155}{13}\\ 12\dfrac{11}{13}=\dfrac{12\times13+11}{13}=\dfrac{167}{13}\\ 3\dfrac{3}{5}=\dfrac{3\times5+3}{5}=\dfrac{18}{5}\)

$8$ tấn $3$ yến $=80$ tạ $30kg$