Bài làm 

\(D=\frac{6}{3,5}+\frac{6}{5.7}+...+\frac{6}{21.23}\)

\(D=3.\left(\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{21.23}\right)\)

\(D=3.\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{21}-\frac{1}{23}\right)\)

\(D=3.\left(\frac{1}{3}-\frac{1}{23}\right)\)

\(D=3.\frac{20}{69}\)

\(D=\frac{20}{23}\)

Học tốt 

Bài làm 

 \(D=\frac{6}{3.5}+\frac{6}{5.7}+...+\frac{6}{21.23}\)

\(D=3.\left(\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{21.23}\right)\)

\(D=3.\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{21}-\frac{1}{23}\right)\)

\(D=3.\left(\frac{1}{3}-\frac{1}{23}\right)\)

\(D=3.\frac{20}{69}\)

\(D=\frac{20}{23}\)

   \(E=\frac{20}{11.13}+\frac{20}{13.15}+\frac{20}{15.17}+...+\frac{20}{53.55}\)

\(E=10.\left(\frac{2}{11.13}+\frac{2}{13.15}+\frac{2}{15.17}+...+\frac{2}{53.55}\right)\)

\(E=10.\left(\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+\frac{1}{15}-\frac{1}{17}+...+\frac{1}{53}-\frac{1}{55}\right)\)

\(E=10.\left(\frac{1}{11}-\frac{1}{55}\right)\)

\(E=10.\frac{4}{55}\)

\(E=\frac{8}{11}\)

     \(G=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+...+\frac{1}{9900}\)

\(G=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+...+\frac{1}{99.100}\)

\(G=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+...+\frac{1}{99}-\frac{1}{100}\)

\(G=\frac{1}{1}-\frac{1}{100}\)

\(G=\frac{99}{100}\)

Nhớ k cho m nha 

Ta có:

\(D=\frac{6}{3\cdot5}+\frac{6}{5\cdot7}+...+\frac{6}{21\cdot23}\)

\(D=3.\left(\frac{2}{3.5}+\frac{2}{5\cdot7}+...+\frac{2}{21.23}\right)\)

\(D=3.\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{21}-\frac{1}{23}\right)\)

\(D=3.\left(\frac{1}{3}-\frac{1}{23}\right)\)

\(D=3.\frac{20}{69}\)

\(D=\frac{20}{23}\)

Vậy \(D=\frac{20}{23}\)

ĐA : 11 phần 20 

=\(\frac{5-3+9}{20}\)= \(\frac{11}{20}\)

\(\frac{5}{20}-\frac{3}{20}+\frac{9}{20}=\)

\(\frac{11}{20}\)

mong cac bạn giúp đỡ

ta quy đồng 

\(\frac{12}{16}=\frac{3}{4}\)

\(\frac{20}{24}=\frac{5}{6}\)

\(\frac{16}{20}=\frac{4}{5}\)

Ta có: 1/4>1/5>1/6

=> \(1-\frac{1}{4}< 1-\frac{1}{5}< 1-\frac{1}{6}\)

\(\Rightarrow\frac{3}{4}< \frac{4}{5}< \frac{5}{6}\)

\(\Rightarrow\frac{12}{16}< \frac{16}{20}< \frac{20}{24}\)

nhầm, từ lớn đến bé thì là \(\frac{20}{24}>\frac{16}{20}>\frac{12}{16}\)

lấy 1 - 1/9900= 9899/9900 chi có thế thôi

9899/9900 thui

ai trả lời ko?? nếu ko thì mik trả lời nè!!!

a) \(x-10\left(\frac{2}{15.17}+\frac{2}{17.19}+...+\frac{2}{73.75}\right)=\frac{7}{15}\)

\(x-10\left(\frac{1}{15}-\frac{1}{17}+\frac{1}{17}-\frac{1}{19}+...+\frac{1}{73}-\frac{1}{75}\right)=\frac{7}{15}\)

\(x-10\left(\frac{1}{15}-\frac{1}{75}\right)=\frac{7}{15}=>x-\frac{8}{15}=\frac{7}{15}=>x=1\)

b) \(x-10\left(\frac{2}{11.13}+\frac{2}{13.15}+...+\frac{2}{53.55}\right)=\frac{3}{11}\)

\(x-10\left(\frac{1}{11}-\frac{1}{55}\right)=\frac{3}{11}=>x-\frac{8}{11}=\frac{3}{11}=>x=1\)

=>S=1+1+1+...+1 (19 số 1)

=>S=19

Tick nha vì mình đang cần

mik đang tính đừng làm phiền

=(-1/2+3/2)+(-1/3+4/3)+.................+(-1/20+21/20)

=      1      +     1       +.................+1[S có :[(20-2):2+1]*2=20 (số)

                                                                => có :20:2=10 (cặp)=> Có 10 chữ số 1]

=10

A = \(\frac{2}{1.4}+\frac{2}{4.7}+\frac{2}{7.10}+...+\frac{2}{97.100}\)

A= 2. ( \(\frac{1}{1.4}+\frac{1}{4.7}+\frac{1}{7.10}+...+\frac{1}{97.100}\))

A= 2. ( \(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+...+\frac{1}{97}-\frac{1}{100}\))

A= 2. (\(1-\frac{1}{100}\))

A= 2. \(\frac{99}{100}\)

A= \(\frac{99}{50}\)

  (-1/4+9/33-5/3)-(-5/4+6/11-48/49)

= -1/4+9/33-5/3+5/4-6/11+48/49

= -1/4+9/33+(-5/3)+5/4+(-6/11)+48/49

= 65/1617

\(x-\frac{1}{3}=\frac{9}{20}\)

\(x=\frac{9}{20}+\frac{1}{3}\)

\(x=\frac{9\times3+1\times20}{60}\)

\(x=\frac{47}{60}\)

47/60

\(x-\frac{1}{3}=\frac{9}{20}\)

\(x=\frac{9}{20}+\frac{1}{3}\)

\(x=\frac{47}{60}\)

~ Học Tốt ~