4/5 + 5/6 : 3/2

= 4/5 + 5/9

= 61/45

3/5 : 4/6 - 3/1

= 9/10 - .3

= -21/10

4/6 : 5/4 + 3/2

= 8/15 + 3/2

= 61/30

\(\frac{4}{5}\)+ \(\frac{5}{6}\): \(\frac{3}{2}\)= \(\frac{61}{45}\)

\(\frac{3}{5}\): \(\frac{4}{6}\)- \(\frac{3}{1}\)= - \(\frac{21}{10}\)= -2,1

\(\frac{4}{6}\): \(\frac{5}{4}\)+ \(\frac{3}{2}\)= \(\frac{61}{30}\)

4/5+5/6:3/2

=4/5+5/6.3/2

=4/5+5/4

=16/20+25/20

=41/20

3/5:4/6-3

=3/5.6/4-3

=9/10-3

=-21/10

4/6:5/4+3/2

=4/6.4/5+3/2

=16/30+45/30

=61/30

1: \(=\dfrac{1}{3}\cdot\dfrac{3}{7}\cdot\dfrac{1}{2}=\dfrac{1}{7\cdot2}=\dfrac{1}{14}\)

2: =5/12+1/7

=35/84+12/84=47/84

3: =8(8/9-6/9)

=8*2/9=16/9

4: \(=\dfrac{5}{12}\cdot\dfrac{12}{5}=1\)

5: =16/5+6

=16/5+30/5=46/5

6: =10*1/2-10*1/5

=5-2=3

3/2 . x + ( 5/3 - 3/2) : 2/3 = 5/3

3/2.x + 1/6 : 2/3 = 5/3

3/2.x + 1/4 = 5/3

3/2.x = 5/3 - 1/4

3/2.x=17/12

x= 17/12 : 3/2

x= 17/18

Vậy...

Bài 2:

4/5x7 + 4/7x9 + 4/9x11 +...+4/17x19

= 2(2/5.7 + 2/7.9 + 2/9.11+...+ 2/17/19)

= 2( 1/5 - 1/7 + 1/7 -1/9 + 1/9 -1/11 +...+ 1/17 - 1/19)

= 2( 1/5- 1/19)

= 2 . 14/95

= 28/95

Trả lời:

Bài 1 

\(\frac{3}{2}\times x+\left(\frac{5}{3}-\frac{3}{2}\right)\div\frac{2}{3}=\frac{5}{3}\)

\(\Leftrightarrow\frac{3}{2}\times x+\frac{1}{6}\div\frac{2}{3}=\frac{5}{3}\)

\(\Leftrightarrow\frac{3}{2}\times x+\frac{1}{6}\times\frac{3}{2}=\frac{5}{3}\)

\(\Leftrightarrow\frac{3}{2}\times x+\frac{1}{4}=\frac{5}{3}\)

\(\Leftrightarrow\frac{1}{6}\times x=\frac{17}{12}\)

\(\Leftrightarrow x=\frac{17}{2}\)

Vậy \(x=\frac{17}{2}\)

Trả lời

Bài 1

\(\frac{3}{2}\times x+\left(\frac{5}{3}-\frac{3}{2}\right)\div\frac{2}{3}=\frac{5}{3}\)

\(\Leftrightarrow\frac{3}{2}\times x+\frac{1}{6}\div\frac{2}{3}=\frac{5}{3}\)

\(\Leftrightarrow\frac{3}{2}\times x+\frac{1}{6}\times\frac{3}{2}=\frac{5}{3}\)

\(\Leftrightarrow\frac{3}{2}\times x+\frac{1}{4}=\frac{5}{3}\)

\(\Leftrightarrow\frac{3}{2}\times x=\frac{17}{12}\)

\(\Leftrightarrow x=\frac{17}{18}\)

Vậy \(x=\frac{17}{18}\)

Bài 2 

\(\frac{4}{5\times7}+\frac{4}{7\times9}+\frac{4}{9\times11}+...+\frac{4}{17\times19}\)

\(=2\times\left(\frac{2}{5\times7}+\frac{2}{7\times9}+\frac{2}{9\times11}+...+\frac{2}{17\times19}\right)\)

\(=2\times\left(\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}+...+\frac{1}{17}-\frac{1}{19}\right)\)

\(=2\times\left(\frac{1}{5}-\frac{1}{19}\right)\)

\(=2\times\frac{14}{95}\)

\(=\frac{28}{95}\)

b)\(\left(2016.1017+2017.2018\right).\left(1+\frac{1}{2}:\frac{3}{2}-\frac{4}{3}\right)\)

\(\left(2016.2017+2017.2018\right)\left(1+\frac{1}{3}-\frac{4}{3}\right)\)

\(\left(2016.2017+2017.2018\right).\left(\frac{4}{3}-\frac{4}{3}\right)\)

\(\left(2016.2017+2017.2018\right).0\)

\(=0\)

a) \(1001.789+456.128.128-789+912.436\)

\(=\left(1001.789-789\right)+\left(456.2.64.128+912.436\right)\)

\(=789.1000+912.4\left(2048+109\right)\)

\(=789000+912.4.2157\)

\(=8657736\)

c)\(5\frac{9}{10}+\frac{3}{2}-\left(2\frac{1}{3}.4\frac{1}{2}-2.2\frac{1}{3}\right):\frac{7}{4}\)

\(=\frac{59}{10}+\frac{3}{2}-\left(\frac{7}{3}.\frac{9}{2}-2.\frac{7}{3}\right):\frac{7}{4}\)

\(=\frac{59}{10}+\frac{3}{2}-\left[\frac{7}{3}\left(\frac{9}{2}-2\right)\right]:\frac{7}{4}\)

\(=\frac{59}{10}+\frac{3}{2}-\left(\frac{7}{3}.\frac{5}{2}\right):\frac{7}{4}\)

\(=59+\frac{3}{2}-\frac{35}{6}.\frac{4}{7}\)

\(=\frac{59}{10}+\frac{3}{2}-\frac{10}{3}\)

\(=\frac{177+45-100}{30}=\frac{122}{30}=\frac{61}{15}\)

mik ko viết dấu dc mọi người thông cảm

tìm x à

tìm tổng của tất cả các số thỏa mãn

5/6+ 1/2 x 4/3

= 5/6+ 2/3

= 5/6+4/6

= 11/6

5/6- 3/8

= 20/24- 9/24

= 11/24

Dài thế trời!!!

1) 1/3 x 1/2 x 3/7 = 1/6 x 3/7 = 1/14

2) 5/4 x 1/3 + 1/7 = 5/12 + 1/7 = 47/84

3) 8 x (8/9 - 2/3) = 8 x 2/9 = 16/9

4) 5/6 x 48/20 x 1/2 = 2 x 1/2 = 1

5) (2/5 + 3/4) x 8 = 23/20 x 8 = 46/5

6) 10 x (1/2 - 1/5) = 10 x 3/10 = 3

Câu 11 :

b) Tính \(\dfrac{1}{1.2} + \dfrac{1}{2.3} + \dfrac{1}{3.4} + ... + \dfrac{1}{2005.2006}\)

= \(\dfrac{1}{1} - \dfrac{1}{2} + \dfrac{1}{2} - \dfrac{1}{3} +...+ \dfrac{1}{2005} - \dfrac{1}{2006}\)

= \(1 - \dfrac{1}{2006}\)

= \(\dfrac{2005}{2006}\)