problem on fractions

[gcvbt7t]

[FONT='Verdana','sans-serif']148. Which of the following is closest to 1/2?
(A) 4/7
(B) 5/9
(C) 5/11
(D) 50/99
(E) 50/101[/font]


In the heat of the moment what is the best way to get the answer... we can make out that its not a,b,c for sure.... but how to decide between d and e.

[12rk34]

Now the one with smallest denominator will be closest to 1/2.
1/2 = 50.5/101
50.5/101 - 50/101 = 1/202
Similarly,
50/99 - 49.5/99 = 1/198
Since 1/202 < 1/198, E is the answer. ( A, B and C are closer to 1/2 to a lesser extent. )

[ibelieveican]

Originally Posted by 12rk34

Now the one with smallest denominator will be closest to 1/2.
1/2 = 50.5/101
50.5/101 - 50/101 = 1/202
Similarly,
50/99 - 49.5/99 = 1/198
Since 1/202 < 1/198, E is the answer. ( A, B and C are closer to 1/2 to a lesser extent. )

Great thanks...
I usually get stuck with these decimal rounding and fractions and which one is larger.. could you share some concepts on this.