( 1/3+1/6+1/10+1/15+1/21) : x =5/7

5/7: x = 5/7

       x = 5/7 : 5/7

       x = 1

tk giùm nhé! chúc học giỏi!

ta có :  ( 1/3 + 1/6 + 1/10 + 1/15 + 1/21 ) :x =5/7

       =>      5/7 : x = 5/7

       => x = 5/7 : 5/7

            x = 1

vậy x=1

3 x 15 + 21 x 15 + 85 x 5

= 45 + 315 + 425

= 785

15 - 30 + 40 

= 25

21 + 19 - 50 + 10

= 0

\(\dfrac{1}{5}-\dfrac{1}{4}+2\)

\(=-\dfrac{1}{20}+2\)

\(=\dfrac{39}{20}\)

\(\left(\dfrac{1}{4}+\dfrac{1}{6}\right)\times\left(\dfrac{1}{2}-\dfrac{1}{4}\right)\)

\(=\dfrac{5}{12}\times\dfrac{1}{4}\)

\(=\dfrac{5}{12}\times\dfrac{3}{12}\)

\(=\dfrac{5}{48}\)

\(\dfrac{1}{10}+\dfrac{1}{5}-\dfrac{3}{4}\)

\(=-\dfrac{9}{20}\)

\(3\times15+21\times15+85\times5\\ =15\times\left(3+21\right)+425\\ =15\times24+425\\ =360+425\\ =785\)

\(15-30+40\\ =\left(15+40\right)-30\\ =55-30\\ =25\)

\(21+19-50+10\\ =\left(21+19\right)-\left(50-10\right)\\ =40-40\\ =0\)

\(\dfrac{1}{5}-\dfrac{1}{4}+2\)

\(=\dfrac{4}{20}-\dfrac{5}{20}+\dfrac{40}{20}\)

\(=\dfrac{\left(4+40\right)}{20}-\dfrac{5}{20}\)

\(=\dfrac{44}{20}-\dfrac{5}{20}\)

\(=\dfrac{39}{20}\)

\(\left(\dfrac{1}{4}+\dfrac{1}{6}\right)\times\left(\dfrac{1}{2}-\dfrac{1}{4}\right)\)

\(=\dfrac{5}{12}\times\dfrac{1}{4}\)

\(=\dfrac{5}{48}\)

\(\dfrac{1}{10}+\dfrac{1}{5}-\dfrac{3}{4}\)

\(=\dfrac{2}{20}+\dfrac{4}{20}-\dfrac{15}{20}\)

\(=\dfrac{6}{20}-\dfrac{15}{20}\)

\(=-\dfrac{9}{20}\)

\(\dfrac{15}{14}\): \(\dfrac{10}{21}\) \(\times\) \(\dfrac{1}{5}\) = \(\dfrac{15}{14}\) \(\times\) \(\dfrac{21}{10}\) \(\times\) \(\dfrac{1}{5}\) = \(\dfrac{5\times3\times7\times3}{7\times2\times10\times5}\) = \(\dfrac{9}{20}\)

5 \(\times\) \(\dfrac{1}{5}\) + \(\dfrac{1}{5}\) = 1 + \(\dfrac{1}{5}\) = \(\dfrac{6}{5}\)

7 : \(\dfrac{1}{5}\) - \(\dfrac{1}{5}\) = 35 - \(\dfrac{1}{5}\) = \(\dfrac{174}{5}\)

6 + \(\dfrac{1}{5}\): 2 = 6 + \(\dfrac{1}{10}\) = \(\dfrac{61}{10}\) 

8 - \(\dfrac{1}{5}\) \(\times\) 7 = 8 - \(\dfrac{7}{5}\) = \(\dfrac{33}{5}\)

\(\dfrac{15}{14}\) : \(\dfrac{10}{21}\) x \(\dfrac{1}{5}\)   =   \(\dfrac{15}{14}\) x \(\dfrac{21}{10}\) x \(\dfrac{1}{5}\)  =   \(\dfrac{9}{4}\) x \(\dfrac{1}{5}\)  =  \(\dfrac{9}{20}\)

5 x \(\dfrac{1}{5}\) + \(\dfrac{1}{5}\)  =  \(\dfrac{5}{1}\) x \(\dfrac{1}{5}\) + \(\dfrac{1}{5}\)  =  1 x \(\dfrac{1}{5}\)  =  \(\dfrac{1}{5}\)

7 : \(\dfrac{1}{5}-\dfrac{1}{5}\)  =  \(\dfrac{7}{1}\) x \(\dfrac{5}{1}-\dfrac{1}{5}\)   =  \(\dfrac{35}{1}\) - \(\dfrac{1}{5}\)   =  \(\dfrac{175}{5}\) - \(\dfrac{1}{5}\)  =  \(\dfrac{174}{5}\)

6 + \(\dfrac{1}{5}\) : 2   =  \(\dfrac{6}{1}\) + \(\dfrac{1}{5}\) x \(\dfrac{1}{2}\)  =  \(\dfrac{6}{1}+\dfrac{1}{10}\)  =  \(\dfrac{60}{10}\) + \(\dfrac{1}{10}\)  = \(\dfrac{61}{10}\)

8 - \(\dfrac{1}{5}\) x 7  =  \(\dfrac{8}{1}\) - \(\dfrac{1}{5}\) x \(\dfrac{7}{1}\)  =  \(\dfrac{8}{1}-\dfrac{7}{5}\)  =  \(\dfrac{40}{5}\) - \(\dfrac{7}{5}\) = \(\dfrac{33}{5}\)

Sai Báo Lại Mình Nha!

A) 1000000 - 107492 : 154 x 28 + 1000

= 1000000 - 19544 + 1000

= 981456

B) 8/15 + 4/7 + 14/30 + 12/21 + 5

= 15/7 + 5

= 50/7

C) 9/13 : 6/11 - 5/12 : 6/11

= 9/13 x 11/6 - 5/12 x 11/6

= (9/13 - 5/12) x 11/6

= 43/156 x 11/6

= 473/936

Bài 2

1) X x2 + X x 1/5 = 8/5 

X x (2 + 1/5 ) = 8/5

X x 11/5 = 8/5

X = 8/5 x 5/11

X = 8/11

2) X : 3/8 = 4/3 : 3/6 

X : 3/8 = 8/3

X = 8/3 x 3/8

X = 1

a) 1 000 000 - 107 492 : 154 x 28 + 1000

=  1 000 000 -            698     x 28 + 1000

=  1 000 000 -                    19544 + 1000

=                    980 456                 + 1000

=                                       981 456

b) 8/15 + 4/7 + 14/30 + 12/21 + 5

  = ( 8/15 + 14/30 ) + ( 4/7 + 12/21 ) + 5

  = ( 16/30 + 14/30 ) + ( 12/21 + 12/21 ) + 5

  =            30/30      +          24/21         + 5

  =               1          +         24/21          + 5

  =           ( 1 + 5 ) + 24/21

  =                6      + 24/21

  =                     150/21

 =                         50/7        

Bài này là dễ lắm rồi đó, bạn tự làm đi

Đẽ ko tưởng tượng nổi đồ óc chó

1> a) \(\frac{5}{7}x4:\frac{5}{9}=\frac{5}{7}:\frac{5}{9}x4=\frac{5}{7}x\frac{9}{5}x4=\frac{9}{7}x4=\frac{9x4}{7}=\frac{36}{7}\)

\(b,8x\frac{2}{3}:\frac{1}{2}=8x\frac{2}{3}x\frac{2}{1}=8x2x\frac{2}{3}=16x\frac{2}{3}=\frac{32}{3}\)

\(c,6:\frac{3}{5}-\frac{7}{6}x\frac{6}{7}=6x\frac{5}{3}-1=10-1=9\)

\(\frac{21}{5}x\frac{10}{11}+\frac{57}{11}=\frac{42}{11}+\frac{57}{11}=\frac{99}{11}=9\)

2) a) \(\frac{35}{9}:x=\frac{35}{6}\)

\(x=\frac{35}{9}:\frac{35}{6}\)

\(x=\frac{35}{9}x\frac{6}{35}\)

\(x=\frac{2}{3}\)

b) \(\left(\frac{1}{1x2}+\frac{1}{2x3}+\frac{1}{3x4}+\frac{1}{4x5}+\frac{1}{5x6}\right)x10-X=0\)

\(\left(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+.....+\frac{1}{5}-\frac{1}{6}\right)x10-X=0\)

\(\left(\frac{1}{1}-\frac{1}{6}\right)x10-X=10\)

\(\frac{5}{6}x10-X=0\)

\(X=\frac{5}{6}x10=\frac{25}{3}\)

Đúng nha !!!!

1/a/\(\frac{5}{7}\cdot4:\frac{5}{9}=\frac{20}{7}:\frac{5}{9}=\frac{20}{7}\cdot\frac{9}{5}=\frac{36}{7}\)

b/\(8\cdot\frac{2}{3}:\frac{1}{2}=\frac{16}{3}:\frac{1}{2}=\frac{16}{3}\cdot\frac{2}{1}=\frac{32}{3}\)

c/\(6:\frac{3}{5}-\frac{7}{6}\cdot\frac{6}{7}=6\cdot\frac{5}{3}-1=10-1=9\)

2/a/\(\frac{35}{9}:x=\frac{35}{6}\)

\(x=\frac{35}{9}:\frac{35}{6}=\frac{35}{9}\cdot\frac{6}{35}\)

\(x=\frac{2}{3}\)

b/\(\left(\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}\right)\cdot10-x=0\)

\(\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}\right)\cdot10-x=0\)

\(\left(\frac{30}{60}+\frac{10}{60}+\frac{5}{60}+\frac{2}{30}\right)\cdot10-x=0\)

\(\frac{47}{60}\cdot10-x=0\)

\(\frac{47}{6}-x=0\)

\(x=\frac{47}{6}-0\)

\(x=\frac{47}{6}\)

tính trừ bt nha bạn vế thương thì cũng tĩnh ra xong mới tính nha

a, \(x\) + \(\dfrac{1}{4}\) - \(\dfrac{3}{8}\) = \(\dfrac{7}{12}\)

    \(x\) - \(\dfrac{1}{8}\) = \(\dfrac{7}{12}\)

    \(x\)       = \(\dfrac{7}{12}\) + \(\dfrac{1}{8}\)

     \(x\)      = \(\dfrac{17}{24}\)

\(x+\dfrac{2}{3}=\dfrac{9}{11}\Rightarrow x=\dfrac{9}{11}-\dfrac{2}{3}=\dfrac{5}{33}\\ x-\dfrac{3}{10}=\dfrac{4}{15}\Rightarrow x=\dfrac{4}{15}+\dfrac{3}{10}=\dfrac{17}{30}\\ x\times\dfrac{1}{7}=\dfrac{5}{6}\Rightarrow x=\dfrac{5}{6}:\dfrac{1}{7}=\dfrac{35}{6}\\ x:\dfrac{3}{5}=\dfrac{1}{6}\Rightarrow x=\dfrac{1}{6}\times\dfrac{3}{5}=\dfrac{1}{10}\)

1) a) \(\frac{5454}{5757}-\frac{171717}{191919}=\frac{18\times3\times101}{19\times3\times101}-\frac{17\times10101}{19\times10101}=\frac{18}{19}-\frac{17}{19}=\frac{1}{19}\)

b) \(\frac{6}{5}\times\frac{7}{6}\times\frac{8}{7}\times....\times\frac{2021}{2020}=\frac{6\times7\times8\times...\times2021}{5\times6\times7\times...\times2020}=\frac{2021}{5}\)

2) \(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{1}{45}=2\times\frac{1}{6}+2\times\frac{1}{12}+2\times\frac{1}{20}+...+2\times\frac{1}{90}\)

\(=2\times\left(\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{90}\right)\)

\(=2\times\left(\frac{1}{2\times3}+\frac{1}{3\times4}+\frac{1}{4\times5}+...+\frac{1}{9\times10}\right)\)

\(=2\times\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{9}-\frac{1}{10}\right)=2\times\left(\frac{1}{2}-\frac{1}{10}\right)=2\times\frac{2}{5}=\frac{4}{5}\)

b)Vì \(a-1< a+1\)

=> \(\frac{1}{a-1}>\frac{1}{a+1}\)

1/ a x b = 1/a - 1/b