It is known that (1/(2*3))+(1/(3*4))+(1/(4*5))+(1/(5*6))+…+(1/(99* 100))=c, find the value of c.
已知(1/(2*3))+(1/(3*4))+(1/(4*5))+(1/(5*6))+…+(1/(99*100))=c，求c值．
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">1 / 100</gadget>
<output>1/100 = around 0.01</output>

<gadget id="calculator">(1/2) - (1/100)</gadget>
<output>49/100 = around 0.49</output>

<result>49/100 = around 0.49</result>