Question

So sánh các phân số :

a)\(\frac{2525}{3535}\)và \(\frac{505050}{707070}\)

b)\(\frac{2005}{2006}\) và \(\frac{200520052005}{200720072007}\)

 

Answer 1

rút gọn: 2525/3535=5/7

     505050/707070=5/7

=> =

rút gọn: 200520052005/200720072007= 2005/2007

      => >

Answer 2

a)\(\frac{2525}{3535}=\frac{5}{7}\)

\(\frac{505050}{707070}=\frac{5}{7}\)

=> \(\frac{2525}{3535}=\frac{505050}{707070}\)

b) \(\frac{200520052005}{200720072007}=\frac{2005}{2007}\)

vì \(\frac{2005}{2006}>\frac{2005}{2007}\)

nên \(\frac{2005}{2006}>\frac{200520052005}{200720072007}\)

Answer 3

a) \(\frac{2525}{3030}\)và \(\frac{505050}{707070}\)

\(\frac{2525}{3535}=\frac{5\times5\times101}{7\times5\times101}=\frac{5}{7}\)

\(\frac{505050}{707070}=\frac{5\times101010}{7\times101010}=\frac{5}{7}\)

\(\Rightarrow\frac{5}{7}=\frac{5}{7}\)Hay \(\frac{2525}{3535}=\frac{505050}{707070}\)

b) \(\frac{2005}{2006}\)và \(\frac{200520052005}{200720072007}\)

\(\frac{200520052005}{200720072007}=\frac{2005\times100010001}{2007\times100010001}=\frac{2005}{2007}\)

Vì \(2006\frac{2005}{2007}\)Hay \(\frac{2005}{2006}>\frac{200520052005}{200720072007}\)

Answer 4

Bài làm :

a, Ta có :

\(\frac{2525}{3535}=\frac{5\times5\times101}{7\times5\times101}=\frac{5}{7}\)

\(\frac{505050}{707070}=\frac{5\times10\times10101}{7\times10\times10101}=\frac{5}{7}\)

\(\Rightarrow\frac{5}{7}=\frac{5}{7}\)

Vậy \(\frac{2525}{3535}=\frac{505050}{707070}\) .

b, Ta có :

\(\frac{200520052005}{200720072007}=\frac{2005\times100010001}{2007\times100010001}=\frac{2005}{2007}\)

và \(\frac{2005}{2006}\)

Vì 2006 < 2007 nên \(\frac{2005}{2006}>\frac{2005}{2007}\)

Vậy \(\frac{2005}{2006}>\frac{200520052005}{200720072007}\) .

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