\(\dfrac{1}{7}.2\dfrac{1}{3}+\dfrac{5}{2}.\dfrac{3}{7}-\dfrac{59}{6}.\dfrac{1}{7}\)
=\(\dfrac{1}{7}.\dfrac{7}{3}+\dfrac{5}{2}.\dfrac{3}{7}-\dfrac{59}{6}.\dfrac{1}{7}\)
=\(\dfrac{1}{7}.\left(\dfrac{7}{3}-\dfrac{59}{6}\right)+\dfrac{5}{2}.\dfrac{3}{7}\)
=\(\dfrac{1}{7}.\dfrac{-15}{2}+\dfrac{5}{2}.\dfrac{3}{7}\)
=\(\dfrac{-15}{14}+\dfrac{15}{14}\)
= 0
tính tổng
S=\(\dfrac{1}{1\cdot2\cdot3}+\dfrac{1}{2\cdot3\cdot4}+\dfrac{1}{3\cdot4\cdot5}+...+\dfrac{1}{n\cdot\left(n+1\right)\cdot\left(n+2\right)}\)
A=1+\(\dfrac{1}{3}+\dfrac{1}{5}+\dfrac{1}{7}+...+\dfrac{1}{99}\)
B= \(\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+...\dfrac{1}{100}\)
C=\(\dfrac{99}{1}+\dfrac{98}{2}+\dfrac{97}{3}+...+\dfrac{1}{99}\)
cho :
\(\dfrac{\dfrac{2}{3}n+\dfrac{1}{5}\cdot\dfrac{3}{7}+\dfrac{1}{7}\cdot\dfrac{3}{10}+\dfrac{1}{3}n-\dfrac{1}{14}+\dfrac{33}{35}}{\dfrac{2}{3}\cdot\left(3n+\dfrac{3}{5}\right)\dfrac{14}{15}+\dfrac{1}{3}}\)
a, Hãy rút gọn A.
b,Tìm giá trị của A khi n =\(\dfrac{-1}{5}\)
c,Tìm n để A nhận giá trị là \(\dfrac{2}{5}\)
d,Tìm n để 2A thuộc Z
\(\dfrac{-5}{9}+1\dfrac{5}{9}\cdot\left(\dfrac{3}{4}-\dfrac{2}{5}\right):7^2\)
\(1\dfrac{13}{15}\cdot0,75-\left(\dfrac{104}{195}+25\%\right)\cdot\dfrac{24}{47}-3\dfrac{12}{13}:3\)
\(1\dfrac{13}{15}\cdot\left(0,5\right)^2\cdot3+\left(\dfrac{8}{15}+1\dfrac{19}{60}\right):1\dfrac{23}{24}\)
\(\dfrac{6}{7}+\dfrac{5}{8}:5-\dfrac{3}{16}\cdot\left(-4\right)\)
giup minh nha mai minh nop rui
Tính hợp lí ( nếu có thể)
a) \(4-1\dfrac{5}{7}.\left(-0,75\right)\)
b) \(\dfrac{1}{7}.2\dfrac{1}{3}+\dfrac{5}{2}:\dfrac{3}{7}-\dfrac{59}{6}.\dfrac{1}{7}\)
bài 5
cho A=\(\dfrac{1}{2}\cdot\dfrac{3}{4}\dfrac{5}{6}\cdot...\cdot\dfrac{9999}{10000}\)
So sánh a với \(\dfrac{1}{100}\)
\(B=5\dfrac{9}{10}:\dfrac{3}{2}-\left(2\dfrac{1}{3}\cdot4\dfrac{1}{2}-2\cdot2\dfrac{1}{3}\right):\dfrac{7}{4}\)
Tính nhanh
\(4\dfrac{8}{15}-5\dfrac{7}{12}-0\dfrac{1}{15}\)
Tính
\(\dfrac{-3}{5}-\dfrac{4}{5}\cdot\dfrac{10}{3}\)
Bài 1:Tính
a, A=\(\dfrac{3}{4}\cdot\dfrac{8}{9}\cdot\dfrac{15}{16}\cdot....\cdot\dfrac{9999}{10000}\)
b,B=\(\left(1-\dfrac{1}{21}\right)\cdot\left(1-\dfrac{1}{28}\right)\cdot\left(1-\dfrac{1}{36}\right)\cdot....\cdot\left(1-\dfrac{1}{1326}\right)\)
c,C=\(\left(1+\dfrac{1}{1\cdot3}\right)\cdot\left(1+\dfrac{1}{2\cdot4}\right)\cdot\left(1+\dfrac{1}{3\cdot5}\right)\cdot....\cdot\left(1+\dfrac{1}{99\cdot101}\right)\)
