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a) B = 5/16 : 0,125 - ( 9/4 - 0,6 ) * 10/11
B = 5/16 * 8 - 9/4 * 10/11 + 0,6 * 10/11
B = 5/2 - 45/22 + 3/11
B = 55/22 - 45/22 + 6/22
B = 8/11
b) \(\left(\frac{1}{2}+1\right)\left(\frac{1}{3}+1\right).....\left(\frac{1}{99}+1\right)\)
\(=\frac{3}{2}.\frac{4}{3}.\frac{5}{4}.....\frac{100}{99}\)
\(=\frac{3.4.5.....100}{2.3.4.....99}\)
\(=\frac{\left(3.4.....99\right).100}{2\left(3.4.....99\right)}\)
\(=\frac{100}{2}\)
\(=50\)
a)B= 5/6 : 1/8 - (9/4 - 3/5 ) * 10/11
= 5/2 - 33/20 * 10/11
= 5/2 - 3/2
= 1
b) 3/2.4/3.5/4....100/99
= 3.4.5...100/2.3.4...99
=100/2
=50
a. \(\frac{1}{5}+\frac{3}{4}+\frac{1}{10}\)
= \(\frac{4}{20}+\frac{15}{20}+\frac{2}{20}\)
= \(\frac{21}{20}\)
b. \(\frac{5}{6}-\frac{1}{3}+\frac{1}{6}\)
= \(\frac{5}{6}-\frac{2}{6}+\frac{1}{6}\)
= \(\frac{4}{6}=\frac{2}{3}\)
c. \(\frac{3}{8}-\frac{10}{2}:\frac{4}{5}\)
= \(\frac{3}{8}-\frac{50}{8}\)
= \(\frac{-47}{8}\)
a) \(\frac{1}{5}+\frac{3}{4}+\frac{1}{10}\)
= \(\frac{4+15+2}{20}\)
= \(\frac{21}{20}\)
b) \(\frac{5}{6}-\frac{1}{3}+\frac{1}{6}\)
= \(\frac{5-2+1}{6}\)
= \(\frac{4}{6}\)
c) \(\frac{3}{8}-\frac{10}{2}:\frac{4}{5}\)
= \(\frac{3}{8}-\frac{25}{4}\)
= \(-\frac{47}{8}\)
câu nào dạng cũng giống nhau, ko biết 1 câu là ko giải đc toàn bộ
Bài 1:
\(\frac{3}{7}\cdot\frac{9}{2}-\frac{1}{14}\cdot\frac{1}{13}\)=\(\frac{27}{14}-\frac{1}{14}\cdot\frac{1}{13}\)
= \(\frac{1}{14}\left(27-\frac{1}{3}\right)\)
= \(\frac{1}{14}\cdot\frac{350}{13}\)=\(\frac{25}{13}\)
bài 2:\(\frac{5}{9}\cdot\frac{7}{13}+\frac{5}{9}\cdot\frac{9}{13}\cdot\frac{3}{13}\)= \(\frac{5}{9}\cdot\frac{1}{13}\left(7+9\cdot\frac{3}{13}\right)\)
= \(\frac{5}{9}\cdot\frac{1}{13}\cdot\frac{94}{13}\)=\(\frac{470}{1521}\)
có j sai xin mn chỉ bảo!
1/5+1/10+1/20+1/40+...+1/1280=
=1/5(1+1/2^1+1/2^2+...+1/2^8)
=1/5*(1-1/2^9)/(1-1/2)
=2/5*(1-1/2^9)