A and B process a batch of parts at the same time, and each person processes half of the total number of parts. When A completes (1/3) of the task, B processes 45 parts. When A completes (2/3), B completes half. How many parts are in the batch?
甲、乙两人同时加工一批零件，每人加工零件总数的一半，甲完成任务的(1/3)时，乙加工了45个零件，甲完成(2/3)时乙完成一半，这批零件有多少个？
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">(2/3) / (1/2)</gadget>
<output>4/3 = around 1.333333</output>

<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">(4/3) / (1/3)</gadget>
<output>4</output>

<gadget id="calculator">45 * 4 * 2</gadget>
<output>360</output>

<result>360</result>