A rope was cut into 3 pieces.<br>The ratio of the length of the 3 pieces is 2 :4: 9. <hr> Express the length of the longest piece as a fraction,$$\frac{A}{B}$$, of the length of the original rope. Reduce your answer to the lowest term.<br><hr> A:<input min="0" type="number" id="imp6pg085q1_1" class="lineinput" placeholder="?"> B:<input min="0" type="number" id="imp6pg085q1_2" class="lineinput" placeholder="?">