a, \(\dfrac{1}{7}\) x ( \(\dfrac{4}{3}\))² - \(\dfrac{1}{7}\) : \(\dfrac{9}{11}\) 

= \(\dfrac{1}{7}\) x  \(\dfrac{16}{9}\)   -   \(\dfrac{1}{7}\) x \(\dfrac{11}{9}\)

= \(\dfrac{1}{7}\) x ( \(\dfrac{16}{9}-\dfrac{11}{9}\))

= \(\dfrac{1}{7}\) x \(\dfrac{5}{9}\)

= \(\dfrac{5}{63}\)

b, 2x + \(\dfrac{1}{4}\) = \(\dfrac{3}{5}\)

    2x         = \(\dfrac{3}{5}-\dfrac{1}{4}\)

   2x          = \(\dfrac{7}{20}\)

     x          =  \(\dfrac{7}{20}:2\)

     x          = \(\dfrac{7}{40}\)

Bài 1:

a: \(x=\dfrac{2}{3}:\dfrac{3}{5}=\dfrac{2}{3}\cdot\dfrac{5}{3}=\dfrac{10}{9}\)

b: \(x=\dfrac{17}{8}:\dfrac{7}{17}=\dfrac{17}{8}\cdot\dfrac{17}{7}=\dfrac{289}{56}\)

c: \(x=-\dfrac{3}{4}:\dfrac{7}{12}=\dfrac{-3}{4}\cdot\dfrac{12}{7}=\dfrac{-63}{28}=-\dfrac{9}{4}\)

d: \(\Leftrightarrow x\cdot\dfrac{1}{6}=\dfrac{3}{8}-\dfrac{1}{4}=\dfrac{1}{4}\)

hay \(x=\dfrac{1}{4}:\dfrac{1}{6}=\dfrac{3}{2}\)

e: \(\Leftrightarrow\dfrac{1}{2}:x=-4-\dfrac{1}{3}=-\dfrac{17}{3}\)

hay \(x=-\dfrac{1}{2}:\dfrac{17}{3}=\dfrac{-3}{34}\)

dad

a,   11/13 - ( 5/42 - x ) = - (5/28 - 11/13)

    11/13 - (5/42 - x) = - 5/28 + 11/13

    - (5/42 - x) + 5/28 = -11/13 + 11/13

 - 5/42 + x + 5/28 = 0

- 5/42 + x = 0 - 5/28

- 5/42 + x = - 5/28

x = -5/28 +5/42

x = - 5/84

b, / x + 4/15 \ - / - 3,75 \ = - / - 2,15 \

./ x + 4/15 \ - 3,75 = - 2,15

/ x + 4/15 \ = -2,15 + 3,75

/ x + 4/15 \ = 1,6

x + 4 / 15 = 1,6                      hoặc x+ 4/15 = - 1,6

x = 1,6 - 4/15                                   x = - 1,6 -4/15

x = 4/3                                              x = -28/15

Vậy x = 4/3 hoặc x = - 28/15

c, ( 0,25 - 30% x ) . 1/3 = 1/4 - 31/6

( 1/4 - 3/10 x ) . 1/3 = - 59/12

( 1/4 - 3/10 x ) = - 59/12 : 1/3

1/4 - 3/10 x = - 59/4

3/10 x = 1/4 + 59/4

3/10 x = 15

x = 15 : 3/10

x = 50

d, ( x - 1/2 ) : 1/3 + 5/7 = 68/7

( x - 1/2 ) : 1/3 = 68/7 - 5/7

( x - 1/2 ) : 1/3 = 63/7

( x - 1/2 ) = 63/7 . 1/3

x -1/2 = 3 

x = 3 + 1/2

x = 7/2

Bài 2:

\(\dfrac{a+b}{a-b}=\dfrac{c+a}{c-a}\)

\(\Rightarrow\dfrac{a+b}{c+a}=\dfrac{a-b}{c-a}=\dfrac{a+b+a-b}{c+a+c-a}=\dfrac{a}{c}\) (T/c dãy tỷ số = nhau)

\(\Rightarrow\dfrac{a+b}{c+a}=\dfrac{a}{c}\Rightarrow c\left(a+b\right)=a\left(c+a\right)\)

\(\Rightarrow ac+bc=ac+a^2\Rightarrow a^2=bc\)

Bạn chia từng bài ra được chứ?

\(\frac{10}{3}.x+\frac{67}{4}=\frac{53}{4}\)

\(\frac{10}{3}.x=\frac{53}{4}-\frac{67}{4}\)

\(\frac{10}{3}.x=-\frac{7}{2}\)

\(x=-\frac{7}{2}:\frac{10}{3}\)

\(x=-\frac{21}{20}\)

a) 4/5.x=4/7
=>x=4/7:4/5
=>x=4/7.5/4
=>x=5/7
b) x:8/11=11/3
=>x=11/3.8/11
=>x=8/3
c)4/5+5/7:x=1/6
=>5/7:x=1/6-4/5
=>5/7:x=-19/30
=>x=5/7:(-19/30)
=>x=-150/133
d)2/9-7/8.x=1/3
=>7/8.x=2/9-1/3
=>7/8.x=-1/9
=>x=-1/9:7/8
=>x=-8/63
nhớ đ-ú-n-g nha

x:8/11=11/3

x=11/3X8/11

x=8/3

b) 2/5:x=1/4

x=2/5:1/4

x=8/5

c)4/5+5/7:x=1/6=?

ai tích mình tích lại 

a) x = 88/33=8/3

b) x = 8/5

c) x = 150/133

a) x / 8/11 = 11/3

             x = 11/3 * 8/11

             x = 88/33

b) 2/5 / x = 1/4

           x = 2/5 / 1/4

           x = 8/5

c) 4/5 + 5/7 / x = 1/6

        53/35 / x = 1/6

                   x = 53/35 / 1/6 

                   x = 318/35

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