\(2A=\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+\frac{2}{9.11}=\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}\)

        \(=1-\frac{1}{11}=\frac{10}{11}\)

\(\Rightarrow A=\frac{5}{11}\)

\(2B=\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{2017.2019}=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{2017}-\frac{1}{2019}\)

        \(=1-\frac{1}{2019}=\frac{2018}{2019}\Rightarrow B=\frac{1009}{2019}\)

\(\frac{2}{7}C=\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{2017.2019}=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{2017}-\frac{1}{2019}\)

           \(=1-\frac{1}{2019}=\frac{2018}{2019}\Rightarrow C=\frac{2018}{2019}:\frac{2}{7}=\frac{7063}{2019}\)

=303 nhé 

ngọc ánh bạn làm rõ ràng ra đc ko

\(1+2-3-4+5+6-7-8+9+10-11-12+...-299-300+301+302\)

\(=1+2-\left(3+4\right)+\left(5+6\right)-\left(7+8\right)+...-\left(299+300\right)+\left(301+302\right)\)( 150 cặp )

\(=1+2-\left(3+4-5-6\right)-\left(7+8-9-10\right)-...-\left(299+300-301-302\right)\)( 75 cặp )

\(=3+4+4+...+4=3+75.4=3+300=303\)

\(\frac{1}{3\cdot5}+\frac{1}{5\cdot7}+\frac{1}{7.9}+\cdot\cdot\cdot\cdot\cdot+\frac{1}{43\cdot45}\)

=\(\frac{1}{2}\cdot\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\cdot\cdot\cdot\cdot\cdot+\frac{1}{43}-\frac{1}{45}\right)\)

=\(\frac{1}{2}\cdot\left(\frac{1}{3}-\frac{1}{45}\right)\)

=\(\frac{1}{2}\cdot\frac{14}{45}\)

=\(\frac{7}{45}\)

Cảm ơn bạn nhiều nhiều nhiều nhiều nhiều nhiều nhiều nhiều nhiều nhiều nhiều nhiều nhiều nha 

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\(x=1-1=0\)

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

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

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

học tốt nha

các bn lm đến đâu cx dc miễn là lm hộ mk cái ạ, ai đang lm vào nhắn tin vs mk để mk bít nha

a; \(-\dfrac{8}{3}+\dfrac{7}{5}-\dfrac{71}{15}< x< -\dfrac{13}{7}+\dfrac{19}{14}-\dfrac{7}{2}\)

              -\(\dfrac{19}{15}\) - \(\dfrac{71}{15}\) < \(x\) < -\(\dfrac{1}{2}\) - \(\dfrac{7}{2}\)

              -6 < \(x\) < -4

             vì \(x\) \(\in\) Z nên \(x\) = -5

- \(\dfrac{19}{6}+\dfrac{-15}{2}+\dfrac{11}{3}\) < \(x\) < - \(\dfrac{5}{4}\) + \(\dfrac{19}{12}\) - \(\dfrac{10}{3}\)

- \(\dfrac{32}{3}+\dfrac{11}{3}< x< \) \(\dfrac{1}{3}\) - \(\dfrac{10}{3}\)

-7 < \(x\) < - 3

Vì \(x\in\) Z nên \(x\in\) {-6;-5;-4}

\(\frac{1}{7}.\frac{5}{9}+\frac{5}{9}.\frac{1}{7}+\frac{5}{9}.\frac{3}{7}\)

\(=\frac{5}{9}.\left(\frac{1}{7}+\frac{1}{7}+\frac{3}{7}\right)\)

\(=\frac{5}{9}.\frac{5}{7}=\frac{25}{63}\)

học vui!

= 5/9 . ( 1/7 + 1/7 + 3/7 )

= 5/9 . 5/7

= 25/63

Tk nha !!

Đặt thừa số chung là 5/9 là xong

A=3.(1/1.2+1/2.3+1/3.4+.....+1/399.400)

A=3.(1/1-1/2+1/2-1/3+......+1/399-1/400)

A=3.(1-1/400)

A=3.399/400

A=1197/400

A=3.(1/1.2+1/2.3+1/3.4+.....+1/399.400)

A=3.(1/1-1/2+1/2-1/3+......+1/399-1/400)

A=3.(1-1/400)

A=3.399/400

A=1197/400

a. 10 – 9 + 8 – 7 + 6 – 5 + 4 – 3 + 2 – 1

= (10 – 9) + (8 – 7) + (6 – 5) + (4 – 3) + (2 – 1)

= 1 + 1 + 1 + 1 + 1

= 5

b. 1 + 3 + 5 + 7 + 9 + 10 + 8 + 6 + 4 + 2 + 0

= (0 +10) +(1 + 9) + (2 + 8) + (3 + 7) + (4 + 6) + 5

= 10 + 10 + 10 + 10 + 10 + 5

= 55

a) 10 - 9 + 8 - 7 + 6 - 5 + 4 - 3 + 2 - 1

= (10 - 9) + (8 - 7) + (6 - 5) + (4 - 3) + (2 - 1)

= 1 + 1 + 1 + 1 + 1

= 1 x 5

= 5

b) 1 + 3 + 5 + 7 + 9 + 10 + 8 + 6 + 4 + 2 + 0

= 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10

= (0 + 10) x 11 : 2

= 10 x 11 : 2

= 5 x 11

= 55

a)5

b)55

chúc bạn học tốt