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a) \(\frac{24}{x}\div\frac{8}{3}=\frac{3}{5}\)
\(\frac{24}{x}\cdot\frac{3}{8}=\frac{3}{5}\)
\(\frac{24}{x}=\frac{3}{5}\div\frac{3}{8}\)
\(\frac{24}{x}=\frac{24}{15}\)
Vậy x = 15
b) Tương tự

giai câu a
a) ta có (\(\frac{2}{11.13}\)+\(\frac{2}{13.15}\)+.....+\(\frac{2}{19.21}\))*462 - x =19
(\(\frac{1}{11}\)-\(\frac{1}{13}\)+\(\frac{1}{13}\)-\(\frac{1}{15}\)+....+\(\frac{1}{19}\)-\(\frac{1}{21}\)) * 462 -x=19
(\(\frac{1}{11}\)-\(\frac{1}{21}\))*462-x=19

1/6 + 1/12 + 1/20 + 1/30 + 1/42 + ... + 1/90 + 1/110 = 1/2.3 + 1/3.4 + 1/4.5 + 1/5.6 + 1/6.7 + ... + 1/9.10 + 1/10.11 = 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + 1/5 - 1/6 + 1/6 - 1/7 + ... + 1/9 - 1/10 + 1/10 - 1/11 = 1/2 - 1/11 = 9/22
\(\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{90}+\frac{1}{110}\)
=\(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{9.10}+\frac{1}{10.11}\)
=\(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{9}-\frac{1}{10}+\frac{1}{10}-\frac{1}{11}\)
=\(\frac{1}{2}-\frac{1}{11}\)
=\(\frac{9}{22}\)

\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}=\frac{1}{1\times2}+\frac{1}{2\times3}+\frac{1}{3\times4}+\frac{1}{4\times5}+\frac{1}{5\times6}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}=1-\frac{1}{6}=\frac{5}{6}\)

Ta co \(\frac{1}{21}+\frac{1}{28}+\frac{1}{36}+....+\frac{2}{x\cdot\left(x+1\right)}\)
\(\Rightarrow\)\(\frac{2}{42}+\frac{2}{56}+\frac{2}{72}+...+\frac{2}{x\cdot\left(x+1\right)}=\frac{2}{9}\)
\(\Rightarrow\)\(2\cdot\left(\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+....+\frac{1}{x\cdot\left(x+1\right)}\right)=\frac{2}{9}\)
\(\Rightarrow\)\(2\cdot\left(\frac{1}{6\cdot7}+\frac{1}{7\cdot8}+\frac{1}{8\cdot9}+...+\frac{1}{x\cdot\left(x+1\right)}\right)=\frac{2}{9}\)
\(\Rightarrow\)\(\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}+...+\frac{1}{x}-\frac{1}{x+1}=\frac{1}{9}\)
\(\Rightarrow\)\(\frac{1}{6}-\frac{1}{x+1}=\frac{1}{9}\)
\(\Rightarrow\frac{1}{x+1}=\frac{1}{18}\)
\(\Leftrightarrow x+1=18\)
\(x=17\)

a) 1200 : 24 - ( 17 - x ) = 36
50 - ( 17 - x ) = 36
17 - x = 50 - 36 = 14
x = 17 - 14 = 3
b) 4/x = 4/21. Ở trường hợp này thì ta làm như sau.
x = 4 : 4/21 = 21
4/ x = 2/7. Ở trường hợp này ta làm như sau.
x = 4 : 2/7 = 14
c) x : 6/7 + 2/3 = 7/3
x : 6/7 = 7/3 - 2/3
x : 6/7 = 5/3
x = 5/3 x 6/7 = 10/7
Đáp số: a) 3 ; b) 21 và 14 ; c) 10/7
a) 1200 : 24 - ( 17 - x ) = 36
50 - ( 17 - x) = 36
17-x =50-36
17-x = 14
x =17-14
x =3
b)\(\frac{4}{x}=\frac{4}{21}=\frac{2}{7}\)
\(=\frac{4}{3}=\frac{4}{21}=\frac{2}{7}\)
c) x : \(\frac{6}{7}+\frac{2}{3}=\frac{7}{3}\)
x : \(\frac{32}{21}\) \(=\frac{7}{3}\)
x = \(\frac{7}{3}\times\frac{32}{21}\)
x = \(\frac{32}{9}\)
Bn tk mk nếu mk đúng nhé và mk ns lun bài này là mk tự nghĩ hết nhen
\(x:\frac{36}{42}=\frac74:\frac34\)
\(x:\frac67=\frac73\)
\(x=\frac73\cdot\frac67\)
\(x=\frac63=2\)
Vậy x = 2
x:4236=47:43
\(x : \frac{6}{7} = \frac{7}{3}\)
\(x = \frac{7}{3} \cdot \frac{6}{7}\)
\(x = \frac{6}{3} = 2\)
Vậy x = 2