SOLUTION: Given S = ( 1/2 , 1/3 , 2/3, 3/4 , 5/8 , 5/16 , 15/32 ) What is the least positive difference between two distinct numbers from set S? A. 1/48 B. 1/32 C. 1/24 D. 1/12

Question 251995: Given S = ( 1/2 , 1/3 , 2/3, 3/4 , 5/8 , 5/16 , 15/32 )
What is the least positive difference between two distinct numbers from set S?
A. 1/48 B. 1/32 C. 1/24 D. 1/12 E. 1/8

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
We need to get the lcd= lowest common denominator which is 96
We need something with factors 3 and 32 so 3*32=96
All the others 2,4,8,16 are factors of 32.
1/2 =48/96
1/3 =32/96
2/3 =64/96
3/4 = 24/96
5/8 =60/96
5/16 =30/96
15/32 =15/96
looks like the closest fractions are 64/96 and 60/96 with a difference of 4/96
fractions in answers
a-1/48=2/96
b-1/32=3/96
c-1/24=4/96
d-1/12=8/96
e-1/8=12/96
so I choose c. 1/24 which equals 4/96
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