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a: \(\dfrac{2}{5}+\dfrac{3}{7}+\dfrac{8}{5}+\dfrac{4}{7}\)

\(=\left(\dfrac{2}{5}+\dfrac{8}{5}\right)+\left(\dfrac{3}{7}+\dfrac{4}{7}\right)\)

=2+1

=3

b: \(\dfrac{1}{5}\times\dfrac{3}{4}+\dfrac{1}{5}\times\dfrac{5}{4}-\dfrac{1}{5}\)

\(=\dfrac{1}{5}\times\left(\dfrac{3}{4}+\dfrac{5}{4}-1\right)\)

\(=\dfrac{1}{5}\times\left(\dfrac{8}{4}-1\right)=\dfrac{1}{5}\times\left(2-1\right)=\dfrac{1}{5}\)

6 tháng 11 2024

a,2/5 + 3/7 + 8/5 + 4/7

= ( 2/5 + 8/5 ) + ( 3/7 + 4 /7)

= 10/5 + 7/7

=2+1=3

b,1/5 x3/4 +1/5 x 5/4 - 1/5

=1/5 x ( 3/4 + 5/4 -1 )

=1/5 x (2-1)
1/5 x 1=1/5

3 tháng 4 2018

\(\frac{4}{5}x\frac{1}{4}+\frac{1}{2}x\frac{4}{5}\)

\(\frac{4}{5}x\left(\frac{1}{4}+\frac{1}{2}\right)\)

\(\frac{4}{5}x\frac{3}{4}=\frac{3}{5}\)

\(\frac{3}{4}x\frac{4}{5}+\frac{5}{6}x\frac{6}{7}x\frac{7}{8}\)

\(\frac{3}{5}+\frac{5}{8}=\frac{49}{40}\)

3 tháng 4 2018

A) 4/5 x 1/4 + 1/2 x 4/5

 = 4/5 x (1/4 + 1/2)

 = 4/5 x (1/4 + 2/4)

 = 4/5 x 3/4

 = 3/5

31 tháng 3 2018

\(a,\frac{62}{7}:x=\frac{29}{9}:\frac{3}{56}\)

\(\frac{62}{7}:x=\frac{1624}{27}\)

\(x=\frac{62}{7}:\frac{1624}{27}=\frac{837}{5684}\)

\(b,\frac{1}{5}:x=\frac{1}{5}-\frac{1}{7}\)

\(\frac{1}{5}:x=\frac{2}{35}\)

\(x=\frac{1}{5}:\frac{2}{35}=\frac{7}{2}\)

\(c,\frac{2}{3}.x-\frac{4}{7}=\frac{1}{7}\)

\(\frac{2}{3}.x=\frac{1}{7}+\frac{4}{7}=\frac{5}{7}\)

\(x=\frac{5}{7}:\frac{2}{3}=\frac{15}{14}\)

\(d,\frac{2}{7}-\frac{8}{9}.x=\frac{2}{3}\)

\(\frac{8}{9}.x=\frac{2}{7}-\frac{2}{3}=-\frac{8}{21}\)

\(x=-\frac{8}{21}:\frac{8}{9}=-\frac{3}{7}\)

\(e,\frac{4}{7}+\frac{5}{9}:x=\frac{1}{5}\)

\(\frac{5}{9}:x=\frac{1}{5}-\frac{4}{7}=-\frac{13}{35}\)

\(x=\frac{5}{9}:-\frac{13}{35}=\frac{175}{117}\)

\(i,\frac{2}{5}-\frac{2}{5}.x=\frac{2}{5}\)

\(\frac{2}{5}.\left(1-x\right)=\frac{2}{5}\)

\(1-x=\frac{2}{5}:\frac{2}{5}=1\)

\(x=1-1=0\)

\(g,\frac{2}{3}+\frac{1}{3}:x=-1\)

\(\frac{1}{3}:x=-1-\frac{2}{3}=-\frac{5}{3}\)

\(x=\frac{1}{3}:-\frac{5}{3}=-\frac{1}{5}\)

học tốt nha

14 tháng 12 2021

a, 23/4 : 3 + 9/4 x 1/3 - 3/8

=  7,8 + 12,22 - 3,8

= 20,02 - 3,8

  =16,22

b, 3/5 : 5/6 : 6/7 : 7/8 + 2/5 +23/35 

=3/5 x 6/5 x 7/6 x 8/7 + 2/5 + 23/35

=24/25 + 2/5 + 23/35

=1/5 x(24/5 + 2 +23/7)

=1/5 x 353/35

=353/175

15 tháng 12 2021

cảm ơn bn

8 tháng 3 2019

a) y + 3/7 x 21/9 = 5

      y + 3/7 x 7/3 = 5

      y + 1             = 5

            y             = 4

b) y  x 3/5 - 1/2 = 4/5

    y x 3/5          = 4/5 + 1/2

    y x 3/5          = 13/10

    y                   = 13/6

c) 9/8 - y + 2/5 = 1/4

            y - 2/5  = 9 /8 - 1/4

            y - 2/5  = 7/8

                   y   = 51/40 

d) y - 6/5 : 2/3 = 5/6

    y - 9/5         = 5/6

          y           = 79/30

e) y : 7/8 + 3/4 = 7/4

    y : 7/8          = 1

          y            = 7/8

8 tháng 3 2019

\(y+\frac{3}{7}\times\frac{21}{9}=5\)

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

\(y+1=5\)

\(\Rightarrow y=4\)

12 tháng 10 2023

a) 3 2/7 - 2/5 + 5/7 - 3/5

= 3 + 2/7 - (2/5 + 3/5) + 5/7

= 3 + (2/7 + 5/7) - 1

= 3 + 1 - 1

= 3

b) 5 4/7 - 4/9 + 1 3/7 - 5/9

= 5 + 4/7 - 4/9 + 1 + 3/7 - 5/9

= (5 + 1) + (4/7 + 3/7) - (4/9 + 5/9)

= 6 + 1 - 1

= 6

12 tháng 10 2023

a) \(3\dfrac{2}{7}-\dfrac{2}{5}+\dfrac{5}{7}-\dfrac{3}{5}\)

\(=\left(\dfrac{23}{7}+\dfrac{5}{7}\right)-\left(\dfrac{2}{5}+\dfrac{3}{5}\right)\)

\(=4-1\)

\(=3\)

b) \(5\dfrac{4}{7}-\dfrac{4}{9}+1\dfrac{3}{7}-\dfrac{5}{9}\)

\(=\left(\dfrac{32}{7}+\dfrac{10}{7}\right)-\left(\dfrac{4}{9}+\dfrac{5}{9}\right)\)

\(=6-1\)

\(=5\)

30 tháng 6 2024

a; 5\(\dfrac{3}{4}\) : 3 + 2\(\dfrac{1}{4}\).\(\dfrac{1}{3}\) - \(\dfrac{3}{8}\)

\(\dfrac{23}{4}\) : 3 + \(\dfrac{9}{4}\).\(\dfrac{1}{3}\) - \(\dfrac{3}{8}\)

\(\dfrac{23}{4}\) x \(\dfrac{1}{3}\) + \(\dfrac{3}{4}\) - \(\dfrac{3}{8}\)

\(\dfrac{23}{12}\) + \(\dfrac{3}{4}\) - \(\dfrac{3}{8}\)

\(\dfrac{46}{24}\) + \(\dfrac{18}{24}\) - \(\dfrac{9}{24}\)

\(\dfrac{64}{24}\) - \(\dfrac{9}{24}\)

\(\dfrac{55}{24}\)

13 tháng 3 2022

a. \(=\left(\dfrac{12}{15}+\dfrac{3}{15}\right)+\left(\dfrac{4}{3}+\dfrac{5}{3}\right)+\left(\dfrac{1}{4}+\dfrac{3}{4}\right)\\ =1+2+1=4\)

b. \(x\times\dfrac{3}{4}=\dfrac{1\times3\times6\times5}{6\times5\times5\times3}\\ x\times\dfrac{3}{4}=\dfrac{1}{5}\\ x=\dfrac{1}{5}:\dfrac{3}{4}\\ x=\dfrac{4}{15}\)

13 tháng 3 2022

a.

(12/15+3/15)+(4/3+5/3)+(1/4+3/4)

=1+3+1=5

b.X x 3/4=1/5

           X=1/5:3/4

           X=4/15

22 tháng 9 2023

\(5\dfrac{3}{4}:3+2\dfrac{1}{4}\times\dfrac{1}{3}-\dfrac{1}{8}=\left(5\dfrac{3}{4}+2\dfrac{1}{4}\right)\times\dfrac{1}{3}-\dfrac{1}{8}\\ =8\times\dfrac{1}{3}-\dfrac{1}{8}=\dfrac{8}{3}-\dfrac{1}{8}=\dfrac{61}{24}\\ ----\\ \dfrac{3}{5}:\dfrac{5}{6}:\dfrac{6}{7}:\dfrac{7}{8}+\dfrac{2}{5}+\dfrac{23}{35}\\ =\dfrac{3}{5}\times\dfrac{6}{5}\times\dfrac{7}{6}\times\dfrac{8}{7}+\dfrac{2}{5}+\dfrac{23}{35}=\dfrac{18}{25}\times\dfrac{4}{3}+\dfrac{2}{5}+\dfrac{23}{35}=\dfrac{353}{175}\)

20 tháng 4 2022

a.\(\dfrac{2}{3}\times\dfrac{4}{9}+\dfrac{2}{3}\times\dfrac{5}{9}=\dfrac{2}{3}\times\left(\dfrac{4}{9}+\dfrac{5}{9}\right)=\dfrac{2}{3}\times1=\dfrac{2}{3}\)

b.\(\dfrac{7}{5}\times\dfrac{3}{4}-\dfrac{1}{2}\times\dfrac{3}{4}=\dfrac{3}{4}\times\left(\dfrac{7}{5}-\dfrac{1}{2}\right)=\dfrac{3}{4}\times\dfrac{9}{10}=\dfrac{27}{40}\)

c.\(\left(\dfrac{5}{6}+\dfrac{5}{8}\right)\times\dfrac{2}{3}=\dfrac{35}{24}\times\dfrac{2}{3}=\dfrac{35}{36}\)

20 tháng 4 2022

a) 2/3 x 4/9 + 2/3 x 5/9 

=2/3 x ( 4/9 + 5/9)

= 2/3 x 1

=  2/3

                                

b, 7/5 x 3/4 - 1/2 x 3/4

= ( 7/5 - 1/2 ) x 3/4

=     9/10         x 3/4

=         21/40

 

c, ( 5/6 + 5/8 ) x 2/3       

 =      35/24 x 2/3

=       35/36