-1/2016.2015-1/2015.2014-1/2013.2012-...-1/3.2-1/2.1
TÍNH HỢP LÍ( NẾU CÓ THỂ)
\(\frac{1}{2014}-\frac{1}{2014.2013}-\frac{1}{2013.2012}-...-\frac{1}{3.2}-\frac{1}{2.1}\)
Bài 1 Rút gọn
a) \(1-\frac{1}{2014.2013}-\frac{1}{2013.2012}-.....-\frac{1}{4.3}-\frac{1}{3.2}-\frac{1}{2.1}\)
\(\left(8-\frac{9}{4}+\frac{2}{7}\right)-\left(-6-\frac{3}{7}+\frac{5}{4}\right)-\left(3+\frac{2}{4}-\frac{9}{7}\right)\)\(\frac{9}{7}\))
\(\frac{1}{3}-\frac{3}{5}+\frac{5}{7}-\frac{7}{9}+\frac{9}{11}-\frac{11}{13}+\frac{13}{15}+\frac{11}{13}-\frac{9}{11}+\frac{7}{9}-\frac{5}{7}+\frac{3}{5}-\frac{1}{3}\)
\(\frac{1}{2014}-\frac{1}{2014.2013}-\frac{1}{2013.2012}-\frac{1}{2012.2011}-...-\frac{1}{3.2}-\frac{1}{2.1}\)
Tính:
\(a.\frac{1}{99}-\frac{1}{99.98}-...-\frac{1}{3.2}-\frac{1}{2.1}\)
\(b.\frac{2}{100.99}-\frac{2}{99.98}-...-\frac{2}{3.2}-\frac{2}{2.1}\)
Tính 1/100.99-1/99.98-...-1/3.2-1/2.1
tính P=-1+1/2.1+1/3.2+1/4.3+..........+1/2018.2017+1/2018
Tính nhanh 1/99- 1/99.98- 1/98.97-...-1/3.2-1/2.1
Tính
P=1/2000.1999-1/1999.1998-1/1998.1997-....-1/3.2-1/2.1