Tuyển Cộng tác viên Hoc24 nhiệm kì 26 tại đây: https://forms.gle/dK3zGK3LHFrgvTkJ6
1.Tính nhanh
a,\(\frac{1}{1\times4}+\frac{1}{4\times7}+............+\frac{1}{97\times100}\)
b,\(\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times...........\times\frac{99}{100}\)
c,\(\frac{3}{4}\times\frac{8}{9}\times\frac{15}{16}\times...........\times\frac{99}{100}\)
d,\(\left(\frac{1}{2}+1\right)\times\left(\frac{1}{3}+1\right)\times\left(\frac{1}{4}+1\right)\times............\times\left(\frac{1}{99}+1\right)\)
e,\(\left(1-\frac{1}{2}\right)\times\left(1-\frac{1}{3}\right)\times\left(1-\frac{1}{4}\right)\times..........\times\left(1-\frac{1}{100}\right)\)
tính bằng cách thuận tiện
a. \(\frac{1}{2}\times\frac{2}{3}\div\frac{4}{3}\times\frac{4}{5}\div\frac{6}{5}\times\frac{6}{7}\div\frac{7}{8}\times\frac{8}{9}\div\frac{10}{9}\)
b.\(\frac{27}{49}\times\frac{49}{50}\times\frac{15}{51}\times(\frac{5}{10}-\frac{1}{2})\)
\(Tính:\frac{1}{2}\times\frac{4}{6}\times\frac{9}{12}\times\frac{16}{20}\times.....\times\frac{81}{90}\times\frac{100}{110}\)
a ) \(\frac{5}{6}-\frac{26}{5}\times\frac{1}{13}\)
b ) \(\subset\frac{19}{23}-\frac{22}{46}\supset\times\frac{23}{16}\)
c ) \(\frac{25}{8}\times\frac{14}{30}\)
d ) \(\subset\frac{3}{4}\times\frac{5}{7}\supset\times\subset\frac{20}{9}\times\frac{14}{15}\supset\)
e ) \(\frac{4}{35}\times\frac{25}{32}\times\frac{38}{24}\)
g ) \(\frac{1}{2}\times\frac{3}{4}\times\frac{2}{3}\times\frac{4}{5}\)
h ) \(\frac{5}{6}\times\frac{11}{4}-\frac{5}{4}\times\frac{23}{6}\)
i ) \(\frac{9}{16}\times\frac{13}{4}-\frac{9}{4}\times\frac{5}{16}+\frac{9}{16}\times\frac{17}{4}\)
k ) \(\subset7\times\frac{1}{3}\supset\times\subset\frac{1}{7}\times6\supset\)
m ) \(\frac{2}{3}\times\subset\frac{3}{5}+\frac{3}{7}\supset\)
n ) \(\frac{4}{5}\times\subset\frac{5}{8}+\frac{7}{4}\supset\)
p )\(\subset\frac{1}{33}+\frac{31}{333}-\frac{341}{3333}\supset\times\subset\frac{1}{2}-\frac{1}{3}-\frac{1}{6}\supset\)
\(T=\frac{3}{4}\times\frac{8}{9}\times\frac{15}{16}\times.....\times\frac{575}{576}\times\frac{624}{625}\)
\(T=\frac{3}{4}\times\frac{8}{9}\times\frac{15}{16}\times...\times\frac{575}{576}\times\frac{624}{625}\)
Tính giá trị biểu thức:
\(A=\frac{\frac{16}{10}:\left(1\frac{3}{5}\times \frac{5}{4}\right)}{\frac{64}{100}-\frac{1}{25}}+\frac{\left(\frac{108}{100}-\frac{2}{25}\right):\frac{4}{7}}{\left(5\frac{5}{9}-2\frac{1}{4}\right)\times 2\frac{2}{17}}+\frac{3}{5}\times \frac{1}{2}:\frac{2}{5}\)
Tính giá trị biểu thức sau :
\(A=\frac{\frac{16}{10}:\left(1\frac{3}{5}\times \frac{5}{4}\right)}{\frac{64}{100}-\frac{1}{25}}+\frac{\left(\frac{108}{100}-\frac{2}{25}\right):\frac{4}{7}}{\left(5\frac{5}{9}-2\frac{1}{4}\right)\times 2\frac{2}{17}}+\frac{3}{5}\times \frac{1}{2}:\frac{2}{5}\)
\(\left(\frac{9}{2}-2\times x\right)\div1\frac{4}{7}=\frac{11}{4}\times\frac{7}{5}\)
