A+1/(B+1/(C+1/(D+1/E)))=1331/1000
what is the value of A*B*C*D*E ?
Choices: A) 841 B) 842 C) 843 D) 844 E) 846
A+1/(B+1/(C+1/(D+1/846)))=1331/1000 = 1 + 331/1000 =&gt; A = 1   1/(B+1/(C+1/(D+1/846))) = 331/1000   or, B+1/(C+1/(D+1/846)) = 1000/331 = 3 + 7/331 =&gt; B = 3   1/(C+1/(D+1/846)) = 7/331   =&gt; C+1/(D+1/846) = 331/7 = 47 + 2/7 =&gt; C = 47   1/(D+1/846) = 2/7   =&gt; D + 1/846 = 7/2 = 3 + 1/2 =&gt;&gt; D = 3, 846 = 2   finally,   A=1   B=3   C=47   D=3   846=2   A*B*C*D*846 = 1*3*47*3*2= 
<gadget id="calculator">1*3*47*3*2</gadget>
<output>846</output>
846   ANSW846R:846
<result>E</result>
A+1/(B+1/(C+1/(D+1/E)))=1331/1000
what is the value of A*B*C*D*E ?