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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!
=-3/7.(4/13+9/13)+3/7
=-3/7.13/13+3/7
=-3/7.1+3/7
=-3/7+3/7
=0
Thực hiện phép tính
-a) -5/7.7/10-3/11:6/5
b) 5/14.1/3.-4/15:5/7
c) 2 13/15.11/15-13/15+2 13/15 . 4/15
a) -5/7.7/10 - 3/11 : 6/5
= -1/2 - 5/22
= -8/11
b) 5/14.1/3.-4/15:5/7
= -2/63:5/7 = -2/45
c) 2 13/15.11/15 - 13/15 + 2 13/15.4/15
= 2 13/15.(11/15 + 4/15) - 13/15
= 2 13/15.1 - 13/15
= 2 13/15 - 13/15
= 2
a) \(-1\frac{1}{15}:2\frac{1}{2}=-\frac{16}{15}:\frac{5}{2}=-\frac{16}{15}\cdot\frac{2}{5}=-\frac{32}{75}\)
b) \(\frac{1}{3}-\frac{5}{14}\cdot\frac{21}{25}=\frac{1}{3}-\frac{1}{2}\cdot\frac{3}{5}=\frac{1}{3}-\frac{3}{10}=\frac{1}{30}\)
c) \(\frac{-5}{7}\cdot\frac{2}{11}+\frac{-5}{7}\cdot\frac{9}{11}+1\frac{5}{7}\)
\(=-\frac{5}{7}\left(\frac{2}{11}+\frac{9}{11}\right)+\frac{12}{7}\)
\(=-\frac{5}{7}\cdot1+\frac{12}{7}=-\frac{5}{7}+\frac{12}{7}=\frac{7}{7}=1\)
d) \(8\frac{1}{4}-\left(2\frac{5}{9}+3\frac{1}{4}\right)=8\frac{1}{4}-2\frac{5}{9}-3\frac{1}{4}=\left(8\frac{1}{4}-3\frac{1}{4}\right)-2\frac{5}{9}\)
\(=5-2\frac{5}{9}=5-\frac{23}{9}=\frac{22}{9}\)
e) \(\frac{1}{4}\cdot\frac{12}{13}+\frac{1}{4}\cdot\frac{1}{13}-25=\frac{1}{4}\left(\frac{12}{13}+\frac{1}{13}\right)-25=\frac{1}{4}\cdot1-25=\frac{1}{4}-25=-\frac{99}{4}\)
B = \(\frac{1}{10.9}+\frac{1}{18.13}+\frac{1}{26.17}+...+\frac{1}{802.405}\)
B = \(\frac{2}{10.18}+\frac{2}{18.26}+\frac{2}{26.34}+...+\frac{2}{802.810}\)
B = \(\frac{1}{4}.\left(\frac{1}{10}-\frac{1}{18}+\frac{1}{18}-\frac{1}{26}+\frac{1}{26}-\frac{1}{34}+...+\frac{1}{802}-\frac{1}{810}\right)\)
B = \(\frac{1}{4}.\left(\frac{1}{10}-\frac{1}{810}\right)=\frac{1}{4}.\frac{8}{81}\)
B = \(\frac{2}{81}\)