\(\begin{array}{l}12:30 = \dfrac{{12}}{{30}} = \dfrac{2}{5};\\\dfrac{3}{7}:\dfrac{{18}}{{24}} = \dfrac{3}{7}.\dfrac{{24}}{{18}} = \dfrac{3}{7}.\dfrac{{4}}{{3}} = \dfrac{4}{{7}};\\2,5:6,25 = \dfrac{{2,5}}{{6,25}} = \dfrac{{250}}{{625}} = \dfrac{2}{5}\end{array}\)

Như vậy, các tỉ số bằng nhau là: 12:30 và 2,5 : 6,25.

Ta được tỉ lệ thức: 12:30 = 2,5 : 6,25

a: \(\Leftrightarrow\left(x-\dfrac{2}{5}\right):\dfrac{3}{2}=-\dfrac{5}{4}+\dfrac{5}{2}=\dfrac{5}{4}\)

\(\Leftrightarrow x-\dfrac{2}{5}=\dfrac{5}{4}\cdot\dfrac{3}{2}=\dfrac{15}{8}\)

hay x=91/40

b: \(\Leftrightarrow\left(2.5x-3.6\right)=-1\cdot\dfrac{12}{7}=\dfrac{-12}{7}\)

=>2,5x=66/35

hay x=132/175

c: \(\Leftrightarrow\left(\dfrac{15}{4}-2x\right)=\dfrac{19}{9}:\dfrac{4}{3}=\dfrac{19}{9}\cdot\dfrac{3}{4}=\dfrac{19}{12}\)

=>2x=15/4-19/12=45/12-19/12=26/12

=>x=13/12

3x7+3x5-2,5x3

=3x(7+5-2,5)

=3x9,5

=28,5

\(3\times7+3\times5-2.5\times3=3\times\left(7+5-2.5\right)=3\times9.5=28.5\) 

\(3\times7+3\times5-2,5\times3\)

\(=3\times\left(7+5-2,5\right)\)

\(=3\times9,5\)

\(=28,5\)

\(75\%:2\dfrac{1}{5}+\left(0,5\right)^2.\left(-7\right)+2,5\left(7\dfrac{2}{3}+5\dfrac{2}{3}\right)\)

\(=\dfrac{3}{4}:\dfrac{11}{5}+\dfrac{1}{4}.\left(-7\right)+2,5\left(12+\dfrac{4}{3}\right)\)

\(=\dfrac{15}{44}-\dfrac{7}{4}+\dfrac{5}{2}.\dfrac{40}{3}\)

\(=-\dfrac{31}{22}+\dfrac{100}{3}\)

\(=\dfrac{2107}{66}\)

\(\frac{9}{4}\)và\(\frac{15}{14}\)

Ta có: ( 4x - 9 ) . ( 2,5 + -7/3 . x ) = 0

<=>  4x - 9 = 0

        2,5 + -7/3 . x = 0

<=> 4x = 9

       -7/3.x = -2,5

<=> x = 9 : 4

       x = -2,5 : -7/3

 <=> x = 9/4

          x = 6/35

chắc là \(\frac{9}{4}\)

\(A=\dfrac{7}{3}+\dfrac{5}{7}+\dfrac{2}{3}-\dfrac{7}{12}+\dfrac{5}{2}=3+\dfrac{221}{84}=\dfrac{473}{84}\)

a: \(=\left(1.25\right)^{16}\cdot8^{16}\cdot8=8\cdot10^{16}\)

b: \(=\left(\dfrac{5}{2}\right)^{13}\cdot4^{13}\cdot4^2=10^{13}\cdot4^2\)

c: \(=\left(0.25\right)^4\cdot8^4\cdot8^2=2^4\cdot8^2=64\cdot16=1024\)

d: \(=\left(\dfrac{1}{2}\right)^{15}\cdot2^{18}=2^3=8\)

e: \(=\left(\dfrac{1}{3}\cdot6\right)^7\cdot\left(\dfrac{1}{2}\right)^7\cdot\dfrac{1}{2}=2^7\cdot\left(\dfrac{1}{2}\right)^7\cdot\dfrac{1}{2}=\dfrac{1}{2}\)

=>4x-9=0 hoặc 5/2-7/3x=0

=>x=9/4 hoặc x=15/14

\(\left(4x-9\right).\left(2,5+\dfrac{-7}{3}.x\right)=0\)

\(=>\left[{}\begin{matrix}4x-9=0\\2,5+\dfrac{-7}{3}.x=0\end{matrix}\right.=>\left[{}\begin{matrix}x=\dfrac{9}{4}\\x=\dfrac{15}{14}\end{matrix}\right.\)

=> \(\left(4x-9\right).\left(\dfrac{5}{2}+\dfrac{-7}{3}.x\right)=0\)

=> \(\left[{}\begin{matrix}4x-9=0\\\dfrac{5}{2}+\dfrac{-7}{3}.x=0\end{matrix}\right.=>\left[{}\begin{matrix}4x=9=>x=\dfrac{9}{4}\\\dfrac{-7}{3}.x=\dfrac{-5}{2}=>x=\dfrac{15}{14}\end{matrix}\right.\)