A project is completed alone, A takes 12 days, and B takes 15 days; now A and B have cooperated for a few days, and B has to do the rest alone for 6 days to complete the task. How many days did A and B cooperate?
一项工程，单独完成，甲要12天，乙要15天；现在由甲、乙合作若干天以后，剩下的由乙又单独做了6天才完成任务．问甲乙合作了多少天？
<gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>

<gadget id="calculator">(1/15) * 6</gadget>
<output>2/5 = around 0.4</output>

<gadget id="calculator">1 - (2/5)</gadget>
<output>3/5 = around 0.6</output>

<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>

<gadget id="calculator">(1/12) + (1/15)</gadget>
<output>3/20 = around 0.15</output>

<gadget id="calculator">(3/5) / (3/20)</gadget>
<output>4</output>

<result>4</result>