Tính các tổng sau

a) \(A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\ldots +\frac{1}{99.100}\)

b) \(B=\frac{1}{2.5}+\frac{1}{5.8}+\frac{1}{8.11}+...+\frac{1}{32.35}\)
A.a) \(\frac{{99}}{{100}}\)b) \(\frac{{11}}{{70}}\)
B.a) \(\frac{{99}}{{100}}\)b) \(\frac{{13}}{{70}}\)
C.a) \(\frac{{99}}{{105}}\)b) \(\frac{{11}}{{70}}\)
D.a) \(\frac{{99}}{{100}}\)b) \(\frac{{21}}{{70}}\)

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