Đặt :
\(A=\dfrac{2}{11.15}+\dfrac{2}{15.19}+.......+\dfrac{2}{51.55}\)
\(\Leftrightarrow2A=\dfrac{4}{11.15}+\dfrac{4}{15.19}+.........+\dfrac{4}{51.55}\)
\(\Leftrightarrow2A=\dfrac{1}{11}-\dfrac{1}{15}+\dfrac{1}{15}-\dfrac{1}{19}+......+\dfrac{1}{51}-\dfrac{1}{55}\)
\(\Leftrightarrow2A=\dfrac{1}{11}-\dfrac{1}{55}\)
\(\Leftrightarrow2A=\dfrac{4}{55}\)
\(\Leftrightarrow A=\dfrac{4}{110}\)
tính
2/11.15+2/15.19+......+2/51.55
Tính:
(1/2^2-1).(1/3^2-1). ... .(1/100^2-1)
Tính hợp lý: \(B=\dfrac{2}{3.5}+\dfrac{2}{5.7}+\dfrac{2}{7.9}+...+\dfrac{2}{99.100}\)
Tính:
75% - 1 1/2 + 0,5 : 5/12 - (-1/2)2
Thực hiện phép tính, tính nhanh nếu có thể
a, \(\dfrac{7}{13}\) + \(\dfrac{12}{13}\) + \(\dfrac{6}{-13}\)
b, ( \(\dfrac{4}{5}\) + \(\dfrac{1}{2}\) ) x ( \(\dfrac{6}{13}\) - 2 )
c, 75% : \(\dfrac{1}{2}\) - \(2\dfrac{1}{2}\) x ( \(-1\dfrac{1}{3}\) )
d, 0,375 x \(1\dfrac{3}{5}\) + 60% x \(\dfrac{2}{7}\) + \(\dfrac{3}{5}\) x \(\dfrac{5}{7}\)
e, \(\dfrac{-5}{6}\) x \(\dfrac{7}{13}\) + \(\dfrac{19}{13}\) : \(\dfrac{6}{-5}\) + \(\dfrac{2}{5}\)
f, 1,25 x \(\dfrac{7}{9}+\dfrac{5}{4}x\dfrac{15}{9}-1\dfrac{1}{4}:\dfrac{19}{3}\)
Thực hiện phép tính (tính nhanh nếu có thể):
a, 11 3/13 - (2 4/7 + 5 3/13)
b, 2/7 x 5 1/4 - 2/7 x 3 1/4
a)Gọi A=4n-2/2n+3(n thuộc Z).Tìm n để A có giá trị nguyên, b) Tính B=2/1+2+5/1+2+3+9/1+2+3+4+...+2041210/1+2+3+...+2020
Tính A/B
A=
\(\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+...+\dfrac{1}{2021}\)
B=
\(\dfrac{1}{2020}+\dfrac{2}{2019}+\dfrac{3}{2018}+...+\dfrac{2019}{2}+\dfrac{2020}{1}\)
B = \(\dfrac{5}{2}\)+\(\dfrac{6}{11}\)+\(\dfrac{3}{8}\)+\(\dfrac{7}{2}\)+\(\dfrac{6}{8}\)+\(\dfrac{5}{11}\)
tính nhanh
