M = 1 - 5/6 + 7/2 - 9/20 + 11/30 - 13/42

M = 1/6 + 7/2 - 9/20 + 11/30 - 13/42

M = 22/6 - 9/20 + 11/30 - 13/42

M = 93/60 + 11/30 - 13/42

M = 115/60 - 13/42

M = 4050/2620 = 6/4

\(\dfrac{1}{6}+\dfrac{7}{12}-\dfrac{9}{20}+\dfrac{11}{30}-\dfrac{13}{42}\)

\(=\dfrac{1}{2.3}+\dfrac{7}{3.4}-\dfrac{9}{4.5}+\dfrac{11}{5.6}-\dfrac{13}{6.7}\)

\(=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}+\dfrac{1}{4}-\left(\dfrac{1}{4}+\dfrac{1}{5}\right)+\dfrac{1}{5}+\dfrac{1}{6}-\left(\dfrac{1}{6}+\dfrac{1}{7}\right)\)

\(=\dfrac{1}{2}-\dfrac{1}{7}=\dfrac{5}{14}\)

3/2 - 5/6 + 7/12 - 9/20 + 11/30 - 13/42

=6/7

\(m=\frac{3}{2}-\frac{5}{6}+\frac{7}{12}-\frac{9}{20}+\frac{11}{30}-\frac{13}{42}+\frac{15}{56}-\frac{17}{72}\)

\(m=\frac{2}{3}+\frac{7}{12}-\frac{9}{20}+\frac{11}{30}-\frac{13}{42}+\frac{15}{56}-\frac{17}{72}\)

\(m=\frac{5}{4}-\frac{9}{20}+\frac{11}{30}-\frac{13}{42}+\frac{15}{56}-\frac{17}{72}\)

\(m=\frac{4}{5}+\frac{11}{30}-\frac{13}{42}+\frac{15}{56}-\frac{17}{72}\)

\(m=\frac{7}{6}-\frac{13}{42}+\frac{15}{56}-\frac{17}{72}\)

\(m=\frac{6}{7}+\frac{15}{56}-\frac{17}{72}\)

\(m=\frac{9}{8}-\frac{17}{72}\)

\(m=\frac{8}{9}\)

dễ quá

de yhi lam di noi lam j

Dương Thị Khánh Linh dễ thì làm thử đi

\(\frac{3}{2}-\frac{5}{6}+\frac{7}{12}-\frac{9}{20}+\frac{11}{30}-\frac{13}{42}+\frac{15}{56}-\frac{17}{72}+\frac{19}{90}\)

\(=\frac{1+2}{1.2}-\frac{2+3}{2.3}+\frac{3+4}{3.4}-\frac{4+5}{4.5}+\frac{5+6}{5.6}-\frac{6+7}{6.7}+\frac{7+8}{7.8}-\frac{8+9}{8.9}+\frac{9+10}{9.10}\)

\(=1+\frac{1}{2}-\frac{1}{2}+\frac{1}{3}+\frac{1}{4}-...-\frac{1}{8}-\frac{1}{9}+\frac{1}{9}+\frac{1}{10}\)

\(=\frac{11}{10}\)

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