a, Tính : \(\frac{\left(13\frac{1}{4}-2\frac{5}{27}-10\frac{5}{6}\right).230\frac{1}{25}+46\frac{3}{4}}{\left(1\frac{3}{10}+\frac{10}{3}\right):\left(12\frac{1}{3}-14\frac{2}{7}\right)}\)

b, Tính : \(P=\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2012}}{\frac{2011}{1}+\frac{2010}{2}+\frac{2009}{3}+...+\frac{1}{2011}}\)

c, Tính : \(\frac{\left(1+2+3+...+99+100\right)\left(\frac{1}{2}-\frac{1}{3}-\frac{1}{7}-\frac{1}{9}\right)\left(63.1,2-21.3,6\right)}{1-2+3-4+...+99-100}\)

Tính:

a.A =  \(\frac{\left(13\frac{1}{4}-2\frac{5}{27}-10\frac{5}{6}\right).230\frac{1}{25}+46\frac{3}{4}}{\left(1\frac{3}{10}+\frac{10}{3}\right):\left(12\frac{1}{3}-14\frac{2}{7}\right)}\)

b. B = \(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2012}}{\frac{2011}{1}+\frac{2010}{2}+\frac{2009}{3}+...+\frac{1}{2011}}\)

c. C = \(\frac{\left(1+2+3+...+99+100\right).\left(\frac{1}{2}-\frac{1}{3}-\frac{1}{7}-\frac{1}{9}\right).\left(63.1,2-21.3,6\right)}{1-2+3-4+...+99-100}\)

So sánh hai phân số sau:

a)\(\frac{7}{15}và\frac{4}{9}\)

b)\(\frac{2001}{2002}và\frac{2000}{2001}\)

c)\(\left(\frac{1}{80}\right)^7và\left(\frac{1}{243}\right)^6\)

d)\(\left(\frac{3}{8}\right)^5và\left(\frac{5}{243}\right)^3\)

e) A=\(\frac{2011}{2012}+\frac{2012}{2013}\)Và  B=  \(\frac{2011+2012}{2012+2013}\)

f)  \(C=\frac{20^{10}+1}{20^{10}-1}VàD=\frac{20^{10}-1}{20^{10}-3}\)

g) G =\(\frac{10^{100}+2}{10^{100}-1}\)Và   H = \(\frac{10^8}{10^8-3}\)

h)  E = \(\frac{98^{99}+1}{98^{89}+1}\) Và   F =\(\frac{98^{98}+1}{98^{88}+1}\)

1. Tinh a \(\left(6^9.2^{10}+12^{10}\right)+\left(2^{19}.27^3+15.4^9.9^4\right)\)

2. So sanh A va B.

a) \(A=\frac{-2012}{4025};B=\frac{-1999}{3997}\)

b) \(A=3^{21};B=2^{31}\)

c) \(A=\frac{2011}{1.2}+\frac{2011}{3.4}+\frac{2011}{5.6}+....+\frac{2011}{1999.2000};\)\(B=\frac{2012}{1001}+\frac{2012}{1002}+\frac{2012}{1003}+....+\frac{2012}{2000}\)