Which expression has the greatest value?	Choose the correct choice:
A) 1977452/1977455 B) 1982466/1982469 C) 1982487/1982490 D) 1982456/1982459 E) 1982465/1982468
The difference between each numerator/denominator pair is three.   The largest expression (which in this case will also be the closest to one) is the expression where '3' is the smallest fraction of the numerator (or the denominator).   The largest numerator is 1982487, or C, and this will give an expression with a value closest to one.   We can also demonstrate that this approach works with some simple logic. Taking numerator/denominator pairs that differ by three...   1/4= 
<gadget id="calculator">1/4</gadget>
<output>1/4 = around 0.25</output>
0.25   2/5= 
<gadget id="calculator">2/5</gadget>
<output>2/5 = around 0.4</output>
0.4   3/6= 
<gadget id="calculator">3/6</gadget>
<output>1/2 = around 0.5</output>
0.5   ...   27/30= 
<gadget id="calculator">27/30</gadget>
<output>9/10 = around 0.9</output>
0.9   ...   1982487/1982490= 0.999998486...   ANSWER:1982487/1982490
<result>C</result>
Which expression has the greatest value?