Gọi tích trên là A

Ta có : \(A=\left(1-\frac{1}{7}\right)\times\left(1-\frac{2}{7}\right)\times\left(1-\frac{3}{7}\right)\times.....\times\left(1-\frac{10}{7}\right)\) 

\(A=\frac{6}{7}\times\frac{5}{7}\times\frac{4}{7}\times.....\times\frac{-3}{7}\)

\(A=\frac{6\times5\times4\times3\times2\times1\times0\times\left(-1\right)\times\left(-2\right)\times\left(-3\right)}{7}\) 

Vì tử số của phân số A có chứa thừa số 0 nên phân số A có tử số là 0

\(\Rightarrow A=\frac{0}{7}\) 

\(\Rightarrow A=0\)

Ta có : 6/7 x ... x -3/7                                                                                                                                                                                = ( 6/7 x ... x - 3/7 ) x 0                                                                                                                                                                      = 0

\(D=\left(1-\frac{1}{7}\right).\left(1-\frac{2}{7}\right).\left(1-\frac{3}{7}\right)...\left(1-\frac{10}{7}\right)\)

\(D=\frac{6}{7}.\frac{5}{7}.\frac{4}{7}...\frac{-3}{7}\)

\(D=\frac{6.5.4.3.2.1.0.\left(-1\right).\left(-2\right).\left(-3\right)}{7}\)

\(D=\frac{0}{7}\)

\(D=0\)

\(1.\) \(\dfrac{7}{36}-\dfrac{8}{-9}+\dfrac{-2}{3}=\dfrac{7}{36}+\dfrac{8}{9}-\dfrac{2}{3}=\dfrac{7+32-24}{36}=\dfrac{5}{12}.\)

\(2.\) \(\dfrac{-1}{2}+\dfrac{3}{7}-\dfrac{1}{9}+\dfrac{-7}{18}+\dfrac{4}{7}=\dfrac{-9-2-7}{18}+\dfrac{4+3}{7}=\dfrac{-18}{18}+\dfrac{7}{7}=-1+1=0.\)

\(3.\) \(-\dfrac{10}{3}+\dfrac{13}{10}-\dfrac{1}{6}+\dfrac{1}{10}=\dfrac{13+1}{10}+\dfrac{-20-1}{6}=\dfrac{14}{10}+\dfrac{-21}{6}=\dfrac{7}{5}-\dfrac{7}{2}=-\dfrac{21}{10}.\)

\(4.\) \(\dfrac{10}{17}-\dfrac{5}{13}-\left(-\dfrac{7}{17}\right)-\dfrac{8}{13}+\dfrac{11}{25}=\dfrac{10+7}{17}+\dfrac{-5-8}{13}+\dfrac{11}{25}=\dfrac{17}{17}-\dfrac{13}{13}+\dfrac{11}{25}=\dfrac{11}{25}.\)

1: \(=\dfrac{7}{36}+\dfrac{32}{36}+\dfrac{-24}{36}=\dfrac{15}{36}=\dfrac{5}{12}\)

2: \(=\left(-\dfrac{1}{2}-\dfrac{1}{9}-\dfrac{7}{18}\right)+\dfrac{3}{7}+\dfrac{4}{7}\)

\(=\dfrac{-9-2-7}{18}+1=-1+1=0\)

3: \(=\left(-\dfrac{10}{3}-\dfrac{1}{6}\right)+\dfrac{14}{10}\)

\(=-\dfrac{21}{6}+\dfrac{14}{10}=\dfrac{-7}{2}+\dfrac{14}{10}=\dfrac{-35+14}{10}=-\dfrac{21}{10}\)

4: \(=\left(\dfrac{10}{17}+\dfrac{7}{17}\right)-\left(\dfrac{5}{13}+\dfrac{8}{13}\right)+\dfrac{11}{25}=\dfrac{11}{25}\)

`a, 2/3 + 1/5 . 10/7`

`= 2/3 + 10/35`

`=2/3 +2/7`

`=14/21 + 6/21`

`=20/21`

`b, 2/7 + 5/7 . 14/25`

`=  2/7 +2/5`

`= 10/35+14/35`

`= 24/35`

`c, 7/12 - 27/7 . 1/18`

`= 7/12 - 3/14`

`= 31/84`

`d, 3/10 . (-5/6) - 1/8`

`= -1/4 -1/8`

`= -2/8 -1/8`

`= -3/8`

a)

\(\dfrac{2}{3}+\dfrac{1}{5}.\dfrac{10}{7}\)

\(=\dfrac{2}{3}+\dfrac{2}{7}\)

\(=\dfrac{14}{21}+\dfrac{6}{21}\)

\(=\dfrac{20}{21}\)

b)

\(\dfrac{2}{7}+\dfrac{5}{7}.\dfrac{14}{25}\)

\(=\dfrac{2}{7}+\dfrac{2}{5}\)

\(=\dfrac{10}{35}+\dfrac{14}{35}\)

\(=\dfrac{24}{35}\)

c)

\(\dfrac{7}{12}-\dfrac{27}{7}.\dfrac{1}{18}\)

\(=\dfrac{7}{12}-\dfrac{3}{14}\)

\(=\dfrac{98}{168}-\dfrac{36}{168}\)

\(=\dfrac{31}{84}\)

d)

\(\dfrac{3}{10}.\left(-\dfrac{5}{6}\right)-\dfrac{1}{8}\)

\(=-\dfrac{1}{4}-\dfrac{1}{8}\)

\(=-\dfrac{2}{8}-\dfrac{1}{8}\)

\(=\dfrac{-3}{8}\)

phân số nào bn

bạn viết cái này nó dễ hơn đó 

A = ( 6 : 3/5 - 7/6  * 6/7 ) : ( 21/5 * 10/11 + 57/11 )

A = ( 10 -  1 )  : ( 42/11 + 57/11)

A =    9   :  9

A =       1

B = 59 /10 : 3/2 - ( 7/3 * 9/2 - 2 * 7/3 ) : 7/4

B =   59/15  - (  21/2 -  14/3 )  : 7/4

B =    59/15 - 35/6 : 7/4

B  =    59/15 - 10/3

B  =         3/5

cảm ơn bạn nhiều nha

còn câu C thì sao

\(\dfrac{4}{7}-\dfrac{1}{7}.\dfrac{10}{13}\)

\(=\dfrac{4}{7}-\dfrac{10}{91}\)

\(=\dfrac{52}{91}-\dfrac{10}{91}\)

\(=\dfrac{42}{91}=\dfrac{6}{13}\)

_______

\(\dfrac{1}{8}+\dfrac{1}{6}:\dfrac{2}{3}\)

\(=\dfrac{1}{8}+\dfrac{1}{6}.\dfrac{3}{2}\)

\(=\dfrac{1}{8}+\dfrac{1}{4}\)

\(=\dfrac{1}{8}+\dfrac{2}{8}\)

\(=\dfrac{3}{8}\)

___________

\(\left(\dfrac{7}{9}-\dfrac{2}{18}\right):\dfrac{4}{7}\)

\(=\left(\dfrac{14}{18}-\dfrac{2}{18}\right).\dfrac{7}{4}\)

\(=\dfrac{12}{18}.\dfrac{7}{4}\)

\(=\dfrac{7}{6}\)

\(#WendyDang\)

Lời giải:

$\frac{4}{7}-\frac{1}{7}\times \frac{10}{13}=\frac{1}{7}\times 4-\frac{1}{7}\times \frac{10}{13}$

$=\frac{1}{7}\times (4-\frac{10}{13})=\frac{1}{7}\times \frac{42}{13}$
$=\frac{42}{7\times 13}=\frac{6\times 7}{7\times 13}=\frac{6}{13}$
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$\frac{1}{8}+\frac{1}{6}: \frac{2}{3}=\frac{1}{8}+\frac{1}{6}\times \frac{3}{2}=\frac{1}{8}+\frac{1}{4}=\frac{1}{8}+\frac{2}{8}=\frac{3}{8}$

------------------

$(\frac{7}{9}-\frac{2}{18}): \frac{4}{7}=(\frac{7}{9}-\frac{1}{9})\times \frac{7}{4}$
$=\frac{6}{9}\times \frac{7}{4}=\frac{2}{3}\times \frac{7}{4}=\frac{7}{6}$