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I=10101(5/111111+5/222222+4/3.7.11.13.37)
I=10101(5/111111+5/222222+4/111111)
I=10101(10/222222+5/222222+8/222222)
I=10101.23/222222
I=232323/222222
\(H=\left(9\frac{30303}{80808}+7\frac{303030}{484848}\right)+4.03\)
\(H=\left(\frac{75}{8}+\frac{61}{8}\right)+\frac{403}{100}\)
\(H=17+\frac{403}{100}\)
\(H=\frac{2103}{100}\)
\(I=10101.\left(\frac{5}{111111}+\frac{5}{222222}-\frac{4}{3.7.11.13.37}\right)\)
\(I=10101.\left(\frac{5}{111111}+\frac{5}{222222}-\frac{4}{111111}\right)\)
\(I=10101.\left(\frac{5}{111111}-\frac{4}{111111}+\frac{5}{222222}\right)\)
\(I=10101.\left(\frac{1}{111111}+\frac{5}{222222}\right)\)
\(I=10101.\frac{7}{222222}\)
\(I=\frac{7}{22}\)
\(10101.\left(\frac{5}{111111}+\frac{5}{222222}-\frac{4}{3.7.11.13.37}\right)\\ =\frac{5}{11}+\frac{5}{22}-\frac{4}{11}\\ =\frac{10}{22}+\frac{5}{22}-\frac{8}{22}\\ =\frac{7}{22}\)
=\(10101.\left(\frac{5}{111111}+\frac{5}{222222}.\frac{4}{111111}\right)\)
=\(10101.\left(\frac{5}{111111}+\frac{20}{24691308642}\right)\)
=\(10101.\frac{1111130}{24691308642}\)
=0,4545........
Bài 1: Rút gọn phân số:
A=\(\frac{11}{21.10^2+10^2}\)
B=\(\frac{3.5.7.11.13.37-10101}{1313130+20202}\)
\(A=\frac{11}{21.10^2+10^2}=\frac{11}{10^2.\left(21+1\right)}=\frac{11}{10^2.22}=\frac{11}{10^2.11.2}=\frac{1}{10^2.2}\)
\(B=\frac{3.5.7.11.13.37-10101}{1313130+20202}=\frac{\left(3.5.7.11.13.37\right).5-10101.1}{130.10101+10101.2}=\frac{10101.\left(5-1\right)}{10101.\left(130+2\right)}=\frac{4}{132}=\frac{1}{33}\)
\(\frac{3.5.7.11.13.37+10101}{1212120+40404}=\frac{555555+10101}{1212120+40404}\)
\(=\frac{55.10101+10101}{120.10101+4.10101}\)
\(=\frac{\left(55+1\right).10101}{\left(120+4\right).10101}\)
\(=\frac{56}{124}=\frac{14}{31}\)
\(10101.\left(\frac{5}{10101}-\frac{5}{20202}+\frac{5}{30303}+\frac{5}{40404}\right)\)
\(=10101.\frac{5}{10101}-10101.\frac{5}{20202}+10101.\frac{5}{30303}+10101.\frac{5}{40404}\)
\(=5-\frac{5}{2}+\frac{5}{3}+\frac{5}{4}\)
\(=\frac{60}{12}-\frac{30}{12}+\frac{20}{12}+\frac{15}{12}\)
\(=\frac{60-30+20+15}{12}\)
\(=\frac{65}{12}\)
giải giúp mình cách làm còn kết quả thì ra 65/42