a, y \(\times\) \(\dfrac{4}{3}\) = \(\dfrac{16}{9}\)

    y         =    \(\dfrac{16}{9}\) : \(\dfrac{4}{3}\)

    y         = \(\dfrac{4}{3}\)

b, ( y - \(\dfrac{1}{2}\)) + 0,5 = \(\dfrac{3}{4}\)

    y - 0,5 + 0,5 = \(\dfrac{3}{4}\)

   y                   = \(\dfrac{3}{4}\)

c, \(\dfrac{4}{5}-\dfrac{2}{5}y\) = 0,2

   0,8 - 0,4y = 0,2

           0,4y = 0,8 - 0,2

           0,4y  = 0,6

               y = 1,5

d, (y + \(\dfrac{3}{4}\)) \(\times\) \(\dfrac{5}{7}\) = \(\dfrac{10}{9}\)

    y + \(\dfrac{3}{4}\)           = \(\dfrac{10}{9}\) : \(\dfrac{5}{7}\)

   y + \(\dfrac{3}{4}\)            = \(\dfrac{14}{9}\)

y                    = \(\dfrac{14}{9}\) - \(\dfrac{3}{4}\)

 y                   =   \(\dfrac{29}{36}\)

e, y : \(\dfrac{5}{4}\)         = \(\dfrac{9}{5}\)  + \(\dfrac{1}{2}\)

   y : \(\dfrac{5}{4}\)         =   \(\dfrac{23}{10}\)

  y                =      \(\dfrac{23}{10}\)

  y               =   \(\dfrac{23}{8}\)

f, y \(\times\) \(\dfrac{1}{2}\) + \(\dfrac{3}{2}\) \(\times\) y   = \(\dfrac{4}{5}\)

   y \(\times\) ( \(\dfrac{1}{2}+\dfrac{3}{2}\))      =  \(\dfrac{4}{5}\)

   2y                       = \(\dfrac{4}{5}\)

    y                        = \(\dfrac{2}{5}\)

\(\frac{2}{3}:\frac{y}{9}:\frac{7}{5}=\frac{2}{7}:\frac{3}{5}:\frac{10}{9}\)

\(\frac{2}{3}\cdot\frac{9}{y}\cdot\frac{5}{7}=\frac{2}{7}\cdot\frac{5}{3}\cdot\frac{9}{10}\)

\(\frac{2\cdot9\cdot5}{3\cdot y\cdot7}=\frac{2\cdot5\cdot9}{7\cdot3\cdot10}\)

\(\frac{30}{7\cdot y}=\frac{3}{7}\)

\(\Leftrightarrow30\cdot7=7\cdot y\cdot3\)

210 = 21 * y

y = 10

2/3 : y/9 : 7/5 = 2/7 : 3/5 : 10/9 

= 2/3 : y/9 : 7/5 = 3/70 

= 2/3 : y/9 = 3/70 x 7/5 

= 2/3 : y/9 = 3/50

y/9 = 2/3 : 3/50

y/9 = 100/9 

vậy y = 100 

\(\frac{2}{3}:\frac{y}{9}:\frac{7}{5}=\frac{2}{7}:\frac{3}{5}:\frac{10}{9}\)

\(\frac{2}{3}\times\frac{9}{y}\times\frac{5}{7}=\frac{3}{7}\)

\(\frac{90}{21\times y}=\frac{3}{7}=\frac{90}{210}\)

\(\Rightarrow\frac{90}{21\times y}=\frac{90}{210}\)

=> 21 x y = 210

y = 210 : 21

y= 10

a, \(\frac{2}{3}:\frac{5}{7}:\frac{x}{9}=\frac{2}{7}:\frac{3}{5}:\frac{10}{9}\Leftrightarrow\frac{2\times7\times9}{3\times5\times x}=\frac{2\times5\times9}{7\times3\times10}\Leftrightarrow\frac{42}{5\times x}=\frac{3}{7}\Leftrightarrow294=15\times x\Leftrightarrow x=19,6\)

Các phần sau tương tự.

Dùng phương pháp nhân chéo và kiểm tra trình độ tính toán, khả năng rút gọn.

Thay kết quả vào x để kiểm tra lại bài.

cho hỏi Xx9/7:3/4=12/15

\(-\dfrac{7}{2}-\left(\dfrac{5}{3}\right)^2:\dfrac{10}{27}\\ =-\dfrac{7}{2}-\dfrac{25}{9}:\dfrac{10}{27}\\ =-\dfrac{7}{2}-\dfrac{25}{9}.\dfrac{27}{10}\\ =-\dfrac{7}{2}-\dfrac{675}{90}\\ =-\dfrac{7}{2}-\dfrac{75}{9}\\ =-\dfrac{63}{18}-\dfrac{150}{18}\\ =-\dfrac{213}{18}\)

`a) -3/5 xx 7/9 + (-3/5) xx 2/9 + 3/5`

`=-3/5 xx (7/9+2/9) + 3/5`

`=-3/5 xx 1 + 3/5`

`=-3/5+3/5`

`=0`

Bổ sung : \(\dfrac{1}{2}x-\dfrac{2}{3}=\left|-2\dfrac{1}{3}\right|\\ \dfrac{1}{2}x-\dfrac{2}{3}=\left|-\dfrac{7}{3}\right|\\ \dfrac{1}{2}x-\dfrac{2}{3}=\dfrac{7}{3}\\ \dfrac{1}{2}x=\dfrac{7}{3}+\dfrac{2}{3}\\ \dfrac{1}{2}x=\dfrac{9}{3}\\ \dfrac{1}{2}x=3\\ x=3:\dfrac{1}{2}\\ x=3.2\\ x=6\)

a: =>7/9:x=1/18-2/9=1/18-4/18=-3/18=-1/6

=>x=-7/9:1/6=-7/9*6=-42/9=-14/3

b: =>x*7/5=2/15+2/5=8/15

=>x=8/15:7/5=8/21

c: =>x-1/2=3/14:4/7=3/8

=>x=3/8+4/8=7/8

d: =>0,4x+0,3x-0,2x=0,7

=>0,5x=0,7

=>x=1,4

7/10

MG42E3RSDáidsdPDIOHSA8DR0RYE9FHEUCnd09f7eqg03

Bài 2: 

a: 2/5=14/35

3/7=15/35

b: -3/4=-9/12

-7/-12=7/12

c: 5/9=60/108

-11/-12=11/12=99/108

d: -4/7=-36/63

8/9=56/63

-10/21=-30/63

Bài 2: 

a: 2/5=14/35

3/7=15/35

b: -3/4=-9/12

-7/-12=7/12

c: 5/9=60/108

-11/-12=11/12=99/108

d: -4/7=-36/63

8/9=56/63

-10/21=-30/63