Tính nhanh:
a, \(A=\frac{1.2.3+2.4.6+3.6.9+4.8.12}{3.4.5+6.8.10+9.12.15+12.16.20}\)
b, \(B=10101.\left(\frac{5}{111111}+\frac{2}{333333}+\frac{19}{3.7.11.13.37}\right)\)
Những câu hỏi liên quan
Tính nhanh: \(B=10101.\left(\frac{5}{111111}+\frac{2}{333333}-\frac{19}{3.7.11.13.37}\right)\)
Xem thêm câu trả lời
B= 10101.\(\left(\frac{5}{111111}+\frac{5}{222222}-\frac{4}{3.7.11.13.37}\right)\)
\(B=10101\cdot\left(\dfrac{5}{111111}+\dfrac{5}{222222}-\dfrac{4}{111111}\right)\)
\(=10101\cdot\left(\dfrac{2}{222222}+\dfrac{5}{222222}\right)\)
\(=10101\cdot\dfrac{1}{31746}=\dfrac{7}{22}\)
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\(A=10101.\left(\frac{5}{111111}+\frac{5}{222222}-\frac{4}{3.7.11.13.37}\right)\)
\(A=10101.\left(\frac{5}{111111}+\frac{5}{222222}-\frac{4}{3.7.11.13.37}\right)\)
\(A=10101.\left(\frac{5}{111111}+\frac{5}{222222}-\frac{4}{111111}\right)\)
\(A=10101.\left(\frac{10}{222222}+\frac{5}{222222}-\frac{8}{222222}\right)\)
\(A=10101.\left(\frac{7}{222222}\right)\)
\(A=\frac{70707}{222222}\)
\(A=\frac{7}{22}\)
Vậy A = \(\frac{7}{22}\)
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Xem thêm câu trả lời
\(I=10101.\left(\frac{5}{111111}+\frac{5}{222222}-\frac{4}{3.7.11.13.37}\right)\)
Tính hợp lý:
a)\(\left(9,75.21\frac{3}{7}+\frac{39}{4}.18\frac{4}{7}\right).\frac{15}{78}\)
b)\(10101.\left(\frac{5}{111111}+\frac{5}{222222}-\frac{4}{3.7.11.13.37}\right)\)
Tính:
10101 . \(\left(\frac{5}{111111}+\frac{5}{222222}-\frac{4}{3.7.11.13.37}\right)\)
10101 . \(\left(\frac{5}{111111}+\frac{5}{222222}-\frac{4}{3.7.11.13.37}\right)\)
= 10101 . \(\left(\frac{5}{111111}+\frac{5}{222222}-\frac{4}{111111}\right)\)
= 10101 . \(\frac{7}{222222}\)
= \(\frac{7}{22}\)
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Lời giải:
Ta có:
\(A=10101.\left(\frac{5}{111111}+\frac{5}{222222}-\frac{4}{3.7.11.13.37}\right)\)
\(=10101.\left(\frac{5}{111111}+\frac{5}{222222}-\frac{4}{111111}\right)\)
\(=10101.\left(\frac{10}{222222}+\frac{5}{222222}-\frac{8}{222222}\right)\)
\(=10101.\left(\frac{10+5-8}{222222}\right)\)
\(=10101.\frac{7}{222222}\)
\(=\frac{7.10101}{22.10101}=\frac{7}{22}\)
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\(10101.\left(\frac{5}{111111}+\frac{5}{222222}-\frac{4}{3.7.11.13.37}\right)\)
\(=10101.\left(\frac{5}{111111}+\frac{5}{222222}-\frac{4}{111111}\right)\)
\(=10101.\frac{7}{222222}\)
\(=\frac{7}{22}.\)
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\(10101.\left(\frac{5}{111111}+\frac{5}{222222}\frac{4}{3.7.11.13.37}\right)\)
=\(10101.\left(\frac{5}{111111}+\frac{5}{222222}.\frac{4}{111111}\right)\)
=\(10101.\left(\frac{5}{111111}+\frac{20}{24691308642}\right)\)
=\(10101.\frac{1111130}{24691308642}\)
=0,4545........
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\(C=10101\left(\frac{5}{111111}+\frac{5}{222222}+\frac{4}{3.7.11.13.37}\right)\)
\(C=10101\left(\frac{5}{111111}+\frac{5}{222222}-\frac{4}{3.7.11.13.37}\right)\)