$$\frac{1}{6}$$ of a rectangle is coloured red. The rest is coloured blue. The part that is coloured blue is further cut into 10 equal pieces. What fraction of the whole rectangle, $$\frac{A}{B}$$, is each of these 10 equal pieces?  Express your answer in the lowest terms.<br>A: <input min="0" type="number" class="lineinput" placeholder="?"> B:<input min="0" type="number" class="lineinput" placeholder="?"><br>