If a and b are positive integers such that a/b = 1.92, which of the following must be a divisor of a?
Choose the correct answer
A) 19 B) 13 C) 9 D) 8 E) 15
1) A and B are positive INTEGERS   2) A/B = 1.92   A = 192   B = 100   192/100= 
<gadget id="calculator">192/100</gadget>
<output>48/25 = around 1.92</output>
1.92   These values are NOT the smallest possible values though (since they're both even, we can divide both by 2)...   A= 96   B = 50   96/50= 
<gadget id="calculator">96/50</gadget>
<output>48/25 = around 1.92</output>
1.92   Dividing by 2 again:    48/25= 
<gadget id="calculator"> 48/25</gadget>
<output>48/25 = around 1.92</output>
1.92   There is no other way to reduce this fraction, so A must be a multiple of 48 and B must be an equivalent multiple of 25. At this point though, the value of B is irrelevant to the question. We're asked for what MUST divide into A....   Since A is a multiple of 48, we have to 'factor-down' 48. This gives us (6)(8). So BOTH of those integers MUST be factors of A. You'll find the match in the answer choices.   Answer: 9
<result>C</result>
If a and b are positive integers such that a/b = 1.92, which of the following must be a divisor of a?