الجمعة، 24 ديسمبر 2010

find the integer number

find the integer number which between 11/3,11/2 and also between 9/4 , 25/6.

solution

first 11/3 = 3 + 3 + 3 + 2/3 = 3 (2/3) and 11/2= 2 +2 +2 +2 +2 + 1/2 = 5(1/2)

so 11/3=3(2/3) < 4 < 5< 11/2=5(1/2)------------------------1 

second  9/4 = 4 + 4 + 1/4 = 2(1/4) and 25/6 = 6 + 6 + 6+  6 + 1/6 = 4(1/6)

so 9/4=2(1/4) < 3 < 4 < 25/6 = 4(1/6)---------------------2

from 1 and 2

9/4=2(1/4) <3< 11/3=3(2/3) <425/6 = 4(1/6) <5< 11/2=5(1/2)

then 4 is the integer number which between 11/3,11/2 and also between 9/4 , 25/4.

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