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\(\dfrac{-2}{5}+\left(\dfrac{4}{6}-\dfrac{1}{15}\right)-\dfrac{-1}{10}\\ =\dfrac{-2}{5}+\dfrac{3}{5}+\dfrac{1}{10}\\ =\dfrac{1}{5}+\dfrac{1}{10}\\ =\dfrac{3}{10}\\ \dfrac{1}{2}-\left(\dfrac{-7}{3}+\dfrac{2}{5}\right)+\dfrac{1}{8}\\ =\dfrac{1}{2}+\dfrac{29}{15}+\dfrac{1}{8}\\ =\dfrac{73}{30}\\ =\dfrac{73}{30}+\dfrac{1}{8}\\ =\dfrac{307}{120}\)
\(-\dfrac{2}{5}+\left(\dfrac{4}{6}-\dfrac{1}{15}\right)-\left(-\dfrac{1}{10}\right)\)
\(=-\dfrac{2}{5}+\dfrac{3}{5}+\dfrac{1}{10}\)
\(=\dfrac{1}{5}+\dfrac{1}{10}\)
\(=\dfrac{2}{10}+\dfrac{1}{10}=\dfrac{3}{10}\)
\(\dfrac{1}{2}-\left(-\dfrac{7}{3}+\dfrac{2}{5}\right)+\dfrac{1}{8}\)
\(=\dfrac{1}{2}+\dfrac{29}{15}+\dfrac{1}{8}\)
\(=\dfrac{73}{30}+\dfrac{1}{8}=\dfrac{307}{120}\)
Bài làm
\(M=\frac{3^2}{2.5}+\frac{3^2}{5.8}+\frac{3^2}{8.11}+...+\frac{3^2}{98.101}\)
\(M=3^2\left(\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+...+\frac{1}{98}-\frac{1}{101}\right)\)
\(M=9\left(\frac{1}{2}-\frac{1}{101}\right)\)
\(M=9.\frac{101-2}{202}\)
\(M=9.\frac{99}{202}\)
\(M=\frac{891}{202}\)
Vậy \(M=\frac{891}{202}\)
\(M=3\left(\frac{3}{2x5}+\frac{3}{5x8}+\frac{3}{8x11}+...+\frac{3}{98.101}\right).\)
\(M=3\left(\frac{5-2}{2.5}+\frac{8-5}{5.8}+\frac{11-8}{8.11}+...+\frac{101-98}{98.101}\right)\)
\(M=3\left(\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+...+\frac{1}{98}-\frac{1}{101}\right)=3\left(\frac{1}{2}-\frac{1}{101}\right)=\frac{3.99}{202}\)
2 - 5 + 8 - 11 + 14 - 17 + .... + 98 - 101
= (2-5) + (8-11) + (11-17) + ... + (98 - 101)
= (-3) + (-3) + (-3) + ... + (-3)
= (-3) . 34
= -102
2-5+8-11+14-17+...+98-101=(101-98) + ... (5-2)
Mỗi cặp số = 3
Có tổng cộng số cặp là: [(101 - 2)/3)] + 1 = 34 cặp
Tổng là: 34.3=102
2-5+8-11+14-17+...+98-101=102
Bài làm
\(M=\frac{3^2}{2.5}+\frac{3^2}{5.8}+\frac{3^2}{8.11}+...+\frac{3^2}{98.101}\)
\(M=3^2\left(\frac{1}{2.5}+\frac{1}{5.8}+\frac{1}{8.11}+...+\frac{1}{98.101}\right)\)
\(M=9.\left(\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+...+\frac{1}{98}-\frac{1}{101}\right)\)
\(M=9\left(\frac{1}{2}-\frac{1}{101}\right)\)
\(M=9.\left(\frac{101}{202}-\frac{2}{202}\right)\)
\(M=9.\frac{99}{202}\)
\(M=\frac{891}{202}\)
Vậy \(M=\frac{891}{202}\)
M= 3.(3/2.5+ 3/5.8.....3/98.101)
= 3.( 1/2-1/5+1/5-1/8 +....+1/98-1/101)
=3.( 1/2-1/101)
= 3.( 101/202- 2/202)
=3. 99/202
= 297/202
Vậy M= 297/202 nha bạn
\(\frac{3}{5.8}+\frac{11}{8.19}+\frac{12}{19.31}+\frac{70}{31.101}+\frac{99}{101.200}=\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{19}+\frac{1}{19}-\frac{1}{31}+\frac{1}{31}-\frac{1}{101}+\frac{1}{101}-\frac{1}{200}=\frac{1}{5}-\frac{1}{200}=\frac{39}{200}\)
=1/5-1/8+1/8-1/19+1/19-1/31+1/31-1/101+1/101-1/200=1/5-1/200=40/200-1/200=39/200