rrobiinn wrote:Which of the following fraction is the smallest?
a. 33/128
b. 45/138
c. 53/216
d. 83/324
e. 15/59
How to take approach for such kind of math?
A:
33*4 = 132.
Thus, 33/132 = 1/4,
Since 33/128 has smaller denominator, its value is a bit more than 1/4.
B:
45*3 = 135.
Thus, 44/135 = 1/3.
Since 45/138 has a greater denominator, its value is a bit less than 1/3.
Eliminate B, since A is smaller.
C:
53*4 = 212.
Thus, 53/212 = 1/4.
Since 53/216 has a greater denominator, its value is a bit less than 1/4.
Eliminate A, which is greater than 1/4.
D:
83*4 = 332.
Thus 83/332 = 1/4.
Since 83/324 has a smaller denominator, its value is a bit more than 1/4.
Eliminate D, since C is less than 1/4.
E:
15*4 = 60.
Thus, 15/60 = 1/4.
Since 15/59 has a smaller denominator, its value is a bit more than 1/4.
Eliminate E, since C is less than 1/4.
The correct answer is
C.
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