a) \(\dfrac{5}{7}\times\dfrac{5}{9}+\dfrac{4}{9}\times\dfrac{5}{7}\)

\(=\dfrac{5}{7}\times\left(\dfrac{4}{9}+\dfrac{5}{9}\right)\)

\(=\dfrac{5}{7}\times1\)

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

b) \(\dfrac{1}{10}+\dfrac{5}{9}+\dfrac{4}{9}+\dfrac{9}{10}-1\)

\(=\left(\dfrac{5}{9}+\dfrac{4}{9}\right)+\left(\dfrac{1}{10}+\dfrac{9}{10}-1\right)\)

\(=1+0\)

\(=1\)

c) \(\dfrac{5}{7}\times\dfrac{5}{9}+\dfrac{4}{9}\times\dfrac{5}{7}+\dfrac{2}{7}\)

\(=\dfrac{5}{7}\times\left(\dfrac{5}{9}+\dfrac{4}{9}\right)+\dfrac{2}{7}\)

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

\(=1\)

d) \(\dfrac{2}{7}+\dfrac{2}{8}+\dfrac{1}{4}+\dfrac{1}{7}+\dfrac{4}{7}\)

\(=\left(\dfrac{2}{8}+\dfrac{1}{4}\right)+\left(\dfrac{2}{7}+\dfrac{1}{7}+\dfrac{4}{7}\right)\)

\(=\left(\dfrac{1}{4}+\dfrac{1}{4}\right)+1\)

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

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

e) \(\dfrac{4}{5}+\dfrac{3}{10}+\dfrac{2}{10}+0,7\)

\(=\dfrac{4}{5}+\dfrac{5}{10}+\dfrac{7}{10}\)

\(=\dfrac{4}{5}+\dfrac{12}{10}\)

\(=\dfrac{4}{5}+\dfrac{6}{5}\)

\(=\dfrac{10}{5}\)

\(=2\)

g) \(362\times728+326\times272\)

\(=326\times\left(728+272\right)\)

\(=326\times1000\)

\(=326000\) 

 Trong phép nhân có chứ thừa số 5 nên tích là một số chia hết cho 5, do đó chữ số tận cùng của tích là 0 hoặc 5. Vì các thừa số là số lẻ nên tích là số lẻ. Vậy chữ số tận cùng của tích là 5.

a) \(\left(x+5\right).6-7=29\)

\(\Rightarrow\left(x+5\right).6=29+7\)

\(\Rightarrow\left(x+5\right).6=36\)

\(\Rightarrow\left(x+5\right)=36:6=6\)

\(\Rightarrow x=6-5=1\)

b) \(5x-3x=12-3.2\)

\(\Rightarrow2x=6\Rightarrow x=6:2=3\)

c) \(\dfrac{1}{4}.3< x< \dfrac{51}{50}.4\)

\(\Rightarrow\dfrac{3}{4}< x< \dfrac{102}{25}\)

\(a,\dfrac{-1}{8}=\dfrac{3}{x}\\ \dfrac{3}{-24}=\dfrac{3}{x}\\ x=-24\\ b,\dfrac{x}{3}=\dfrac{3}{x}\\ x.x=3.3\\ x^2=9\\ x=\pm3\\ c,\dfrac{3}{4}.x=1\dfrac{1}{2}\\ \dfrac{3}{4}.x=\dfrac{3}{2}\\ x=\dfrac{3}{2}:\dfrac{3}{4}\\ x=2\\ d,x-\dfrac{3}{10}=\dfrac{7}{15}:\dfrac{3}{5}\\ x-\dfrac{3}{10}=\dfrac{7}{9}\\ x=\dfrac{7}{9}+\dfrac{3}{10}\\ x=\dfrac{97}{90}\\ e,\dfrac{-4}{7}-x=\dfrac{-8}{3}.\dfrac{3}{7}\\ \dfrac{-4}{7}-x=\dfrac{-8}{7}\\ x=\dfrac{-4}{7}+\dfrac{8}{7}\\ x=\dfrac{4}{7}\\ \)

f: =>x*4/7=1/5+2/3=3/15+10/15=13/15

=>x=91/60

g: =>1/3:3x=1/5-2/3=-7/15

=>3x=-5/7

=>x=-5/21

h: =>7/8x=-1/9

=>x=-1/9:7/8=-1/9*8/7=-8/63

j: =>(2,8x-50)=34

=>2,8x=84

=>x=30

\(2\frac{4}{5}.x-50:\frac{2}{3}=51\)

\(\frac{14}{5}.x-50:\frac{2}{3}=51\)

\(\frac{14}{51}.x=51+50:\frac{2}{3}\)

\(\frac{14}{51}.x=51+75\)

\(\frac{14}{51}.x=126\)

\(x=126:\frac{14}{51}\)

x=459

Vậy x=459

\(\frac{2}{3}.x=\frac{5}{12}=>x=\frac{5}{12}:\frac{2}{3}=\frac{5.3}{12.2}=\frac{15}{24}\)=\(\frac{3}{8}\)

vậy x=3/8

\(-\frac{2}{3}.x+\frac{1}{5}=\frac{3}{10}nên-\frac{2}{3}.x=\frac{3}{10}-\frac{1}{5}\)

\(-\frac{2}{3}x=\frac{1}{10}nênx=\frac{1}{10}:-\frac{2}{3}=-\frac{3}{20}\)

Vậy x=-3/20

a) x : 7 = 103                        360 : x = 4 

     x     = 103 x 7                            x = 360 : 4 

     x     =    721                                       90

b) 728 - 245 = 483       7319 x 3 = 21957    390 : 6 = 65       217 : 7 = 31

x : 7 = 103

x      = 103 x 7                                        

x      = 721                   

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