\(\dfrac{9}{23}\) x \(\dfrac{5}{8}\) + \(\dfrac{9}{23}\) x \(\dfrac{3}{8}\) - \(\dfrac{9}{23}\)= \(\dfrac{9}{23}\) x \(\left(\dfrac{5}{8}+\dfrac{3}{8}\right)-\dfrac{9}{23}\)
\(=\dfrac{9}{23}\) x \(1\) \(-\dfrac{9}{23}\)
\(=0\)
Tính nhanh ( nếu có thể):
\(a,-3^2+\left\{-52:[\left(-3\right)^2\right\}\) \(d,(\frac{377}{-231}-\frac{123}{89}+\frac{34}{791}):(\frac{1}{6}-\frac{1}{8}-\frac{1}{24})\)
\(b,2\frac{3}{7}+(\frac{2}{9}-1\frac{3}{7})-\frac{5}{3}:\frac{1}{9}\) \(e,\frac{-5}{13}:\frac{3}{7}-\frac{2}{7}.\frac{8}{13}+\frac{5}{13}.\frac{1}{7}\)
\(c,\frac{-11}{23}.\frac{6}{7}+\frac{8}{7}.\frac{-11}{23}-\frac{1}{23}\)
Bài 1:Tìm x,biết
a) \(x-\frac{20}{11.13}-\frac{20}{13.15}-\frac{20}{15.17}-...-\frac{20}{53.55}=\frac{3}{11}\)
b)\(x+\frac{15}{90.94}+\frac{15}{94.98}+\frac{15}{98.102}+...+\frac{15}{146.150}=\frac{2}{3}\)
c)\(x-\frac{1}{2}-\frac{1}{6}-\frac{1}{12}-\frac{1}{20}-\frac{1}{30}-\frac{1}{42}-\frac{1}{56}=\frac{5}{24}\)
d)\(8-\frac{8-\frac{8}{5}+\frac{8}{25}-\frac{8}{125}}{9-\frac{9}{5}+\frac{9}{25}-\frac{9}{125}}:\frac{161616}{151515}=\frac{4+\frac{4}{73}-\frac{4}{115}}{5+\frac{5}{73}-\frac{1}{23}}\)
1. tính nhanh
a) \(15\frac{3}{13}-\left(3\frac{4}{7}+8\frac{3}{13}\right)\)
b) \(\left(7\frac{4}{9}+4\frac{7}{11}\right)-3\frac{1}{2}\)
c) \(\frac{-7}{9}\times\frac{4}{11}+\frac{-7}{9}\times\frac{7}{11}+5\frac{7}{9}\)
Thực hiện phép tính
\(a,(\frac{-5}{28}+1,75+\frac{8}{35}).(-3\frac{9}{20})\) \(b,(6-2\frac{4}{5}).3\frac{1}{8}-1\frac{3}{5}:\frac{1}{4}\)
\(c,(\frac{7-5}{24}+0,75+\frac{7}{12}):(-2\frac{1}{8})\) \(d,8\frac{2}{7}-(3\frac{4}{7}+4\frac{2}{7})\)
\(e,\left(-3,2\right).\frac{-15}{64}+(0,8-2\frac{4}{15}):3\frac{2}{3}\) \(f,1\frac{13}{15}.\left(0,5\right)^2.3+(\frac{8}{15}-1\frac{19}{60}):1\frac{23}{24}\)
\(g,1,4.\frac{15}{49}-(\frac{4}{5}+\frac{2}{3}):2\frac{1}{5}\)
Bài 1.Tính:
a)\((-\frac{1}{2})^3\div1\frac{3}{8}-75\%\times(-6\frac{2}{11})\)
1)Rút gọn
A=\(\frac{8^{10}+4^{10}}{8^4+4^{11}}\)
B=\(\frac{8^{11}.3^{17}}{27^{10}.9^{15}}\)
C=\(\frac{8^2.4^5}{2^{20}}\)
tính
a,\(\frac{x-1}{y}=\frac{8}{3}\)
b,\(\frac{-x}{y}=\frac{-9}{x}\)
Sắp xếp theo thứ tự tăng dần
b\(\frac{23}{30};\frac{-38}{45};\frac{7}{12};\frac{-17}{20};\frac{13}{18}\)
Chứng minh rằng:
a) \(\frac{1}{2!}+\frac{1}{3!}+\frac{1}{4!}+...+\frac{1}{100!}<1\)
b) \(\frac{9}{10!}+\frac{9}{11!}+\frac{9}{12!}+...+\frac{9}{1000!}<\frac{1}{9!}\)