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Đặt \(A=\frac{1}{42}+\frac{1}{30}+\frac{1}{20}+\frac{1}{12}+\frac{1}{6}+\frac{1}{2}\)
\(A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}\)
\(A=\frac{1}{1\times2}+\frac{1}{2\times3}+\frac{1}{3\times4}+\frac{1}{4\times5}+\frac{1}{5\times6}+\frac{1}{6\times7}\)
\(A=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}\)
\(A=1-\frac{1}{7}\)
\(A=\frac{6}{7}\)
1/2+1/6+1/12+1/20+1/30+1/42
=1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7
=1/1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7
=1/1-1/7
=6/7
k cho mình nha bạn!!!
\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}\)
\(=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}\)
\(=\frac{1}{1}+\frac{1}{7}\)
\(=\frac{8}{7}\)
Học tốt
B = 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + ... + 1/90 + 1/110
B = 1/2 x 3 + 1/3 x 4 + 1/4 x 5 + 1/5 x 6 + 1/6 x 7 + ... + 1/19 x 10 + 1/10 x 11
B = 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + 1/5 - 1/6 + 1/6 - 1/7 + ... + 1/19 - 1/10 + 1/10 - 1/11
B = 1/2 - 1/11
B = 9/22
\(B=\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+...+\frac{1}{90}+\frac{1}{110}\)
\(B=\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{9.10}+\frac{1}{10.11}\)
\(B=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}+\frac{1}{10}-\frac{1}{11}\)
\(B=\frac{1}{2}-\frac{1}{11}=\frac{9}{22}\)
Vậy B=9/22
7/4 - y x 5/6 = 5/6
7/4 - y = 5/6 : 5/6 = 1
y = 7/4 - 1
y = 3/4
bài làm
a) \(\frac{5}{8}-\frac{2}{5}\)
\(=\frac{25}{40}-\frac{16}{40}\)
\(=\frac{9}{40}\)
b) \(1\frac{1}{10}-\frac{3}{4}\)
\(=\frac{11}{10}-\frac{3}{4}\)
\(=\frac{22}{20}-\frac{15}{20}\)
\(=\)\(\frac{7}{20}\)
c) \(\frac{2}{3}+\frac{1}{2}-\frac{5}{6}\)
\(=\frac{4}{6}+\frac{3}{6}-\frac{5}{6}\)
\(=\frac{4+3-5}{6}\)
\(=\frac{2}{6}\)
\(=\frac{1}{3}\)
chúc bạn học tốt
=1/1x2+1/2x3+1/3x4+.....+1/6x7
=1-1/2+1/2-1/3+1/3-1/4+.....+1/6-1/7
=1-1/7
=6/7
6/7 nha bạn