\(\dfrac{2\times3\times5}{4\times9\times10}=\dfrac{2\times3\times5}{2^2\times3^2\times2\times5}=\dfrac{1}{2^2\times3}=\dfrac{1}{12}\)

\(\dfrac{2\text{×}3\text{×}5}{4\text{×}9\text{×}10}=\dfrac{2\text{×}3\text{×}5}{2\text{×}2\text{×}3\text{×}3\text{×}2\text{×}5}=\dfrac{1}{2\text{×}3\text{×}2}=\dfrac{1}{12}\)

a)\(\frac{7x9x12}{6x14x18}=\frac{7x9x6x2}{6x7x2x9x2}=\frac{2}{2x2}=\frac{1}{2}\)

b) \(\frac{2x3x5}{4x9x10}=\frac{2x3x5}{2x2x3x3x2x5}=\frac{1}{2x2x3x5}=\frac{1}{60}\)

a=1/2
b=1/60

\(\dfrac{2.3.5}{2.5.7}=\dfrac{3}{7}\)

1. Rút gọn

\(\frac{8x20x4}{9x20x4}=\frac{8}{9}\)

\(\frac{7x9x12}{6x14x18}=\frac{1x1x2}{1x2x2}=\frac{2}{4}=\frac{1}{2}\)

\(\frac{2x3x5}{4x9x10}=\frac{1x1x1}{2x3x2}=\frac{1}{12}\)

2. tìm x

      \(\frac{x}{27}=\frac{12}{18}\)

      \(\frac{x}{27}=\frac{2}{3}\)

=>   X x 3 = 27 x 2

       X x 3 = 54

       X       = 54 : 3

       X       = 18

\(\frac{35}{49}=\frac{10}{x}\)

\(\frac{5}{7}=\frac{10}{x}\)

=> 5 x X = 7 x 10

     5 x X = 70

           X = 70 : 5

           X = 14

1.  \(\frac{8.20.4}{9.20.4}\)=     \(\frac{8}{9}\)        

  \(\frac{7.9.12}{6.14.18}\)=    \(\frac{7.9.6.2}{6.7.2.9.2}\)=    \(\frac{1}{2}\)

\(\frac{2.3.5}{4.9.10}\)=    \(\frac{2.3.5}{2.2.3.3.2.5}\)=    \(\frac{1}{12}\)

2.   \(\frac{x}{27}\)=   \(\frac{12}{18}\)                                                                            \(\frac{35}{49}\)=     \(\frac{10}{x}\)

Ta có : \(\frac{12}{18}\)=   \(\frac{6}{9}\)                                                                        Ta có : \(\frac{35}{49}\)=    \(\frac{70}{98}\)

Mà   \(\frac{x}{27}\)=    \(\frac{6}{9}\)                                                                          Mà    \(\frac{10}{x}\)=     \(\frac{70}{98}\)

\(\Rightarrow\)\(x\)=   \(27:9.6\)                                                                       \(\Rightarrow\)\(x\)=    \(98:\left(70:10\right)\)

Chú ý : ''  \(.\)" là dấu nhân.

2.

\(\frac{x}{27}\)=\(\frac{12}{18}\)

\(\frac{xx2}{27x2}\)=\(\frac{12x3}{18x3}\)

\(\frac{xx2}{64}\)=\(\frac{36}{64}\)

X x2=36

X     =36:2

X     =18

\(\frac{35}{49}\) =\(\frac{10}{x}\)

\(\frac{35x2}{49x2}\)=\(\frac{10x7}{xx7}\)

X x7=98

X=98:7

X=14

Ai gặp đề giống mình thì xem nha

\(\frac{30\cdot25\cdot7\cdot8}{75\cdot8\cdot12\cdot14}\)

\(=\frac{2\cdot3\cdot5\cdot5\cdot5\cdot7\cdot8}{5\cdot3\cdot5\cdot8\cdot3\cdot2\cdot2\cdot2\cdot7}\)

\(=\frac{5}{3\cdot2\cdot2}\)

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

\(\frac{2\cdot3\cdot5}{20\cdot6}\)

\(=\frac{2\cdot3\cdot5}{4\cdot5\cdot2\cdot3}\)

\(=\frac{1}{4}\)

\(\frac{30\times25\times7\times8}{75\times8\times12\times14}=\frac{6\times5\times25\times7\times8}{3\times25\times8\times6\times2\times7\times2}=\frac{5}{3\times2\times2}=\frac{5}{12}\)

\(\frac{2\times3\times5}{20\times6}=\frac{2\times3\times5}{4\times5\times3\times2}=\frac{1}{4}\)

~Học tốt ~~

tuui thách bạn tính bạn đó

a. \(\frac{3.5.7}{6.21}=\frac{21.5}{21.6}=\frac{5}{6}\)

b. \(\frac{2.3.5}{4.5.6}=\frac{6.5}{4.5.6}=\frac{1}{4}\)

cau tra loi la 30  h cho em nha thien tai 2

2x3x5=30 nha bn.

30

ai k tôi tôi t lại cho

\(\frac{2\times3\times5}{3\times5\times7}=\frac{2}{7}\)

2 x 3 x 5 / 3 x 5 x 7 = 2/7

Tk mk nha

Trả lời:

\(\frac{2\times3\times5}{3\times5\times7}=\frac{2}{7}\)

Gạch những thừa số chung có ở tử và mẫu thì ra.