a) $2 \times \frac{3}{{14}} = \frac{2}{1} \times \frac{3}{{14}} = \frac{{2 \times 3}}{{1 \times 14}} = \frac{6}{{14}} = \frac{3}{7}$                     

b) $3 \times \frac{4}{9} = \frac{3}{1} \times \frac{4}{9} = \frac{{3 \times 4}}{{1 \times 9}} = \frac{{12}}{9} = \frac{4}{3}$

c) $\frac{7}{{18}} \times 6 = \frac{7}{{18}} \times \frac{6}{1} = \frac{{7 \times 6}}{{18 \times 1}} = \frac{{42}}{{18}} = \frac{7}{3}$                 

d) $\frac{{19}}{{12}} \times 0 = \frac{{19}}{{12}} \times \frac{0}{1} = \frac{{19 \times 0}}{{12 \times 1}} = 0$

\(A=\frac{3469-54}{6938-108}\)

\(=\frac{3415}{6830}\)

\(=\frac{3415}{6830}=\frac{3415:3415}{6830:3415}=\frac{1}{2}=\frac{3}{6}\)

\(B=\frac{2468-89}{3720-147}\)

\(=\frac{2370}{3555}\)

\(=\frac{2370}{3555}=\frac{2370:1185}{3555:1185}=\frac{2}{3}=\frac{4}{6}\)

bn ơi còn C,D

a.\(7:\left|x-3\right|=4\)

\(\Leftrightarrow\left|x-3\right|=\frac{7}{4}\Leftrightarrow\orbr{\begin{cases}x-3=\frac{7}{4}\\x-3=\frac{-7}{4}\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{7}{4}+3\\x=\frac{-7}{4}+3\end{cases}}}\Leftrightarrow\orbr{\begin{cases}x=\frac{19}{4}\\x=\frac{5}{4}\end{cases}}\)

Vậy x = 19/4 hoặc x = 5/4

b. \(12:\left(x-8\right)=114\)

                 \(x-8=\frac{12}{114}=\frac{2}{19}\)

                 \(x=\frac{2}{19}+8\)

                 \(x=\frac{154}{19}\)

c. \(47+\left|x-7\right|=123\)

\(\Leftrightarrow\left|x-7\right|=123-47\Leftrightarrow\left|x-7\right|=76\)

\(\Leftrightarrow\orbr{\begin{cases}x-7=76\\x-7=-76\end{cases}\Leftrightarrow\orbr{\begin{cases}x=83\\x=-69\end{cases}}}\)

Vậy x = 83 hoặc x = -69

d.\(188+\left|3x-1\right|=1198\)

\(\Leftrightarrow\left|3x-1\right|=1198-188\Leftrightarrow\left|3x-1\right|=1010\)

\(\Leftrightarrow\orbr{\begin{cases}3x-1=1010\\3x-1=-1010\end{cases}\Leftrightarrow\orbr{\begin{cases}3x=1010+1\\3x=-1010+1\end{cases}\Leftrightarrow}\orbr{\begin{cases}3x=1011\\3x=-1009\end{cases}}}\Leftrightarrow\orbr{\begin{cases}x=337\\x=\frac{-1009}{3}\end{cases}}\)

Vậy x = 337 hoặc x= -1009/3

Tính nhanh

a) 18³ : 9³

= 2³

= 8

b) 125³ : 25⁴

= (5³)³ : (5²)⁴

= 5⁹ : 5⁸

= 5

Tra loi het luon di ban

a)  $\frac{3}{5} \times \frac{6}{7} = \frac{{3 \times 6}}{{5 \times 7}} = \frac{{18}}{{35}}$                                                 

 b) $\frac{2}{9} \times \frac{{18}}{3} = \frac{{2 \times 18}}{{9 \times 3}} = \frac{{36}}{{27}} = \frac{4}{3}$

c)  $\frac{5}{7} \times 12 = \frac{{5 \times 12}}{7} = \frac{{60}}{7}$                                            

d)  $21 \times \frac{2}{7} = \frac{{21 \times 2}}{7} = \frac{{42}}{7} = 6$

A><B<>C<>D

a) \(\dfrac{12}{20}\)
b)\(\dfrac{6}{21}\)
c)\(\dfrac{3}{4}\)
d) 6 ; \(\dfrac{3}{4}\)