Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(\dfrac{5}{6}-\dfrac{5}{8}+\dfrac{7}{12}=\dfrac{10}{48}+\dfrac{7}{12}=\dfrac{38}{48}\)
Theo thứ tự : 5/6 ; 2/3 ; 2/3 ; 3/2 ; 2/3 ; 3/8 ; 3/1(hay là 3)
\(\dfrac{10}{12}=\dfrac{5}{6}\) \(\dfrac{8}{12}=\dfrac{2}{3}\) \(\dfrac{10}{15}=\dfrac{2}{3}\) \(\dfrac{27}{18}=\dfrac{3}{2}\) \(\dfrac{24}{36}=\dfrac{4}{6}=\dfrac{2}{3}\)
\(\dfrac{18}{48}=\dfrac{3}{8}\) \(\dfrac{42}{14}=\dfrac{6}{2}=\dfrac{3}{1}\)
\(\frac{1}{3\times4}+\frac{1}{4\times5}+\frac{1}{5\times6}+...+\frac{1}{11\times12}\)
\(=\frac{4-3}{3\times4}+\frac{5-4}{4\times5}+\frac{6-5}{5\times6}+...+\frac{12-11}{11\times12}\)
\(=\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+...+\frac{1}{11}-\frac{1}{12}\)
\(=\frac{1}{3}-\frac{1}{12}\)
\(=\frac{1}{4}\)
\(\left(1-\frac{1}{12}\right).\left(1-\frac{1}{11}\right).\left(1-\frac{1}{10}\right).\left(1-\frac{1}{9}\right).\left(1-\frac{1}{8}\right)\)
\(=\left(\frac{12}{12}-\frac{1}{12}\right).\left(\frac{11}{11}-\frac{1}{11}\right).\left(\frac{10}{10}-\frac{1}{10}\right).\left(\frac{9}{9}-\frac{1}{9}\right).\left(\frac{8}{8}-\frac{1}{8}\right)\)
\(=\frac{11}{12}.\frac{10}{11}.\frac{9}{10}.\frac{8}{9}.\frac{7}{8}\)
\(=\frac{11.10.9.8.7}{12.11.10.8.9}\)
\(=\frac{7}{12}\)
Chúc bạn học tốt !!!
\(\left(1-\frac{1}{12}\right)\left(1-\frac{1}{11}\right)\left(1-\frac{1}{10}\right)\left(1-\frac{1}{9}\right)\left(1-\frac{1}{8}\right)\)
\(=\frac{11}{12}.\frac{10}{11}.\frac{9}{10}.\frac{8}{9}.\frac{7}{8}\)
\(=\frac{11.10.9.8.7}{12.11.10.9.8}\)
\(=\frac{7}{12}\)
= 12/11
a)\(\dfrac{24}{36}\)=\(\dfrac{8}{12}\)
b)\(\dfrac{14}{56}\)=\(\dfrac{1}{4}\)
c)\(\dfrac{9}{24}\)=\(\dfrac{21}{56}\)
Chúc bạn học tốt!
Ta có : \(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}\)
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+......+\frac{1}{7}-\frac{1}{8}\)
\(=\frac{1}{2}-\frac{1}{8}\)
\(=\frac{4}{8}-\frac{1}{8}=\frac{3}{8}\)
Tại bạn tính sai
Học tốt !!!!!!!!!!!!!!!!!!!!!!
:V
bạn nào giải nhanh mình k ạ