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DT
14 tháng 9 2022

\(x\times\dfrac{3}{5}+x\times\dfrac{1}{2}=\dfrac{11}{15}\\ x\times\left(\dfrac{3}{5}+\dfrac{1}{2}\right)=\dfrac{11}{15}\\ x\times\dfrac{11}{10}=\dfrac{11}{15}\\ x=\dfrac{11}{15}:\dfrac{11}{10}\\ x=\dfrac{11}{15}\times\dfrac{10}{11}\\ x=\dfrac{10}{15}=\dfrac{2}{3}\)

14 tháng 9 2022

\(x \times \dfrac{3}{5}+x \times \frac{1}{2}=\dfrac{11}{15}\)

\(x \times (\dfrac{3}{5}+\dfrac{1}{2})=\dfrac{11}{15}\)

\(x \times \dfrac{11}{10}=\dfrac{11}{15}\)

\(x=\dfrac{11}{15}:\dfrac{11}{10}\)

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

25 tháng 4 2022

 

a, x + 2/5 = 1/2 

x = 1/2 + 2/5

x = 9/10 b,34/5 + x = 15/8 

x = 34/5 - 15/8

x =197/40 c, x - 45/6 = 21/6 + 5/6

x  - 45/6 = 26/6

x = 26/6 + 45/6

x =71/6 d,14/5 - x = 11/5 - 3/5

14/5 - x = 8/5

x = 14,5 - 8/5

x =6/5

25 tháng 4 2022

a, x + 2/5 = 1/2 

x = 1/2 + 2/5

x = 9/10

b,34/5 + x = 15/8 

x = 34/5 - 15/8

x =197/40

c, x - 45/6 = 21/6 + 5/6

x  - 45/6 = 26/6

x = 26/6 + 45/6

x =71/6

d,14/5 - x = 11/5 - 3/5

14/5 - x = 8/5

x = 14,5 - 8/5

x =6/5

- Làm lại.

1.

7/15:(1/2-9/10xX)-1/6=13/6

=>7/15:(1/2-9/10xX)=13/6+1/6

=>7/16:(1/2-9/10xX)=7/3

=>1/2-9/10xX=7/16:7/3

=>1/2-9/10xX=3/16

=>9/10xX=1/2-3/16

=>9/10xX=5/16

=>X=5/16:9/10

=>X=25/72

HQ
Hà Quang Minh
Giáo viên
19 tháng 8 2023

\(x-\dfrac{11}{15}=3+\dfrac{x}{5}\\ \Leftrightarrow\dfrac{4}{5}x=\dfrac{56}{15}\\ \Leftrightarrow x=\dfrac{14}{3}\)

 

\(\dfrac{2}{5}\times\dfrac{1}{x}+\dfrac{1}{x}\times2+\dfrac{2}{5}=\dfrac{1}{2}\\ \Leftrightarrow\dfrac{12}{5}\times\dfrac{1}{x}=\dfrac{1}{10}\\ \Leftrightarrow\dfrac{1}{x}=\dfrac{1}{24}\\ \Leftrightarrow x=24\)

3 tháng 10 2021

a, \(2\frac{5}{12}+x=3\frac{1}{6}\) 

=> x = \(3\frac{1}{6}-2\frac{5}{12}\) 

x = ( 3 - 2 ) + ( 1/6 - 5/12 )

x = 1 + ( -1/4 ) => x = 3/4 

b, 26/35 : x = 2 

=> x = 26/35 : 2

=> x = 26/35 . 1/2 

=> x  = 13/35

c, x -3/5 =11/15

x = 11/15  + 3/5 

x= 11/15 + 9/15 => x= 20/15 => x = 4/3

d, \(2\frac{7}{8}.x=1\)

> x = 1 : \(2\frac{7}{8}\)  => x = 1: 23/8  => x = 1. 8/23 => x = 8/23 

3 tháng 10 2021

a) 

x = 31/6 - 25/12

x = 37/12

b)

x = 26/35 : 2

x = 13/35

c)

x = 11/15 + 3/5

x = 4/3

d) 

x = 1 : 27/8

x = 27/8

2 tháng 5 2023

1. a) x =6

b) x=21

2. a)x=1

 b)x=4

12 tháng 5 2015

Đặt A = \(\frac{5}{2.1}+\frac{4}{1.11}+\frac{3}{11.2}+\frac{1}{2.15}+\frac{13}{15.4}\)

=> \(\frac{1}{7}A=\frac{5}{2.7}+\frac{4}{7.11}+\frac{3}{11.14}+\frac{1}{14.15}+\frac{13}{15.28}\)

=> \(\frac{1}{7}A=\frac{1}{2}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+\frac{1}{11}-\frac{1}{14}+\frac{1}{14}-\frac{1}{15}+\frac{1}{15}-\frac{1}{28}\)

=> \(\frac{1}{7}A=\frac{1}{2}-\frac{1}{28}\)

=> \(\frac{1}{7}A=\frac{14}{28}-\frac{1}{28}\)

=>\(\frac{1}{7}A=\frac{13}{28}\)

=> A = \(\frac{13}{28}:\frac{1}{7}\)

=> A =\(\frac{13}{28}.7\)

=> A = \(\frac{13}{4}\)

\(58\frac{2}{165}\)

20 tháng 7 2023

`[ ( 2 xx x - 11 ) : 3 + 1 ] xx 5 = 20`

`( 2 xx x - 11 ) : 3 + 1=20:5`

`( 2 xx x - 11 ) : 3 + 1=4`

`( 2 xx x - 11 ) : 3 =4-1`

`( 2 xx x - 11 ) : 3 =3`

`2xx x -11=3xx3`

`2xx x -11=9`

`2xx x =9+11`

`2 xx x=20`

`x=20:2`

`x=10`

Vậy `x=10`

`b,  x - 96 = ( 443 - x ) - 15`

`x-96=443-x-15`

` x+x=443-15+96`

`2x=524`

`x=524:2`

`x= 262`

Vậy `x=262`

 

20 tháng 7 2023

\(#Nqoc\)

`a)`

\([ ( 2 \times x - 11 ) \div 3 + 1 ] \times 5 = 20\)

`(2 \times x - 11) \div 3 + 1 = 20 \div 5`

`(2 \times x - 11) \div 3 + 1 = 4`

`(2 \times x - 11) \div 3 = 4  - 1`

`(2 \times x - 11) \div 3 = 3`

`2 \times x - 11 = 3 \times 3`

`2 \times x - 11 = 9`

`2 \times x = 9 + 11`

`2 \times x = 20`

`x = 20 \div 2`

`x = 10`

Vậy, `x = 10`

`b)`

\(x - 96 = ( 443 - x ) - 15\)

`x - 96 = 443 - x - 15`

`x - 96 = 428 - x`

`x = 428 - x + 96`

`x = 524 - x`

`x - 524 + x = 0`

`(x + x) - 524 = 0`

`2x - 524 = 0`

`2x = 524`

`x = 524 \div 2`

`x = 262`

Vậy, `x = 262.` 

\(\frac{70}{3}\left(\frac{39}{30}+\frac{39}{42}\right)-\frac{246}{7}\div\left(\frac{41}{56}+\frac{41}{72}\right)\)

\(=\frac{70}{3}\left(\frac{13}{10}+\frac{13}{14}\right)-\frac{246}{7}\div\left(\frac{41}{7\cdot8}+\frac{41}{8\cdot9}\right)\)

\(=\frac{70}{3}\left(1+\frac{3}{10}+1-\frac{1}{14}\right)-\frac{246}{7}\div\left(\frac{40+1}{7\cdot8}+\frac{40+1}{8\cdot9}\right)\)

\(=\frac{70}{3}\left[\left(1+1\right)+\left(\frac{3}{10}-\frac{1}{14}\right)\right]-\frac{246}{7}\div\left(\frac{5}{7}+\frac{1}{7\cdot8}+\frac{5}{9}+\frac{1}{8\cdot9}\right)\)

\(=\frac{70}{3}\left(2+\frac{8}{35}\right)-\frac{246}{7}\div\left[\frac{5}{7}+\frac{5}{9}+\left(\frac{1}{7\cdot8}+\frac{1}{8\cdot9}\right)\right]\)

\(=\frac{70}{3}\cdot\frac{78}{35}-\frac{246}{7}\div\left[\frac{5}{7}+\frac{5}{9}+\left(\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}\right)\right]\)

\(=\frac{35\cdot2\cdot26\cdot3}{3\cdot35}-\frac{246}{7}\div\left(\frac{5}{7}+\frac{5}{9}+\frac{1}{7}-\frac{1}{9}\right)\)

\(=52-\frac{246}{7}\div\left[\left(\frac{5}{7}+\frac{1}{7}\right)+\left(\frac{5}{9}-\frac{1}{9}\right)\right]\)

\(=52-\frac{246}{7}\div\left(\frac{6}{7}+\frac{4}{9}\right)\)

\(=52-\frac{246}{7}\div\frac{82}{63}\)

\(=52-\frac{82\cdot3\cdot9\cdot7}{7\cdot82}\)

\(=52-27=25\)

\(\frac{57}{20}-\frac{26}{15}+\frac{139}{20}\div3\)

\(=\frac{57}{20}-\frac{26}{15}+\frac{139}{60}\)

\(=\frac{171}{60}-\frac{104}{60}+\frac{139}{60}=\frac{103}{30}\)

\(\frac{39}{4}+\frac{2}{3}\left(11-\frac{23}{4}\right)\)

\(=\frac{39}{4}+11\cdot\frac{2}{3}-\frac{23}{4}\cdot\frac{2}{3}\)

\(=\frac{39}{4}+\frac{22}{3}-\frac{56}{12}\)

\(=\frac{119}{12}+\frac{88}{12}-\frac{56}{12}=\frac{151}{12}\)

\(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)...\left(1-\frac{1}{2002}\right)\left(1-\frac{1}{2003}\right)\left(1-\frac{1}{2004}\right)\)

\(=\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot...\cdot\frac{2001}{2002}\cdot\frac{2002}{2003}\cdot\frac{2003}{2004}\)

\(=\frac{1\cdot2\cdot3\cdot...\cdot2001\cdot2002\cdot2003}{2\cdot3\cdot4\cdot...\cdot2002\cdot2003\cdot2004}=\frac{1}{2004}\)

31 tháng 7 2019

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