Xiaoming's family donated money to Ya'an area. The money donated by father was from mother (2/3), and at the same time it was Xiaoming's donation (5/2). It is known that mother donated 1200 yuan. How much money did Xiaoming donate?
小明家为雅安地区捐款，爸爸捐的钱是妈妈的(2/3)，同时又是小明捐钱数的(5/2)，已知妈妈捐了1200元，小明捐了多少钱？
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">5 / 2</gadget>
<output>5/2 = around 2.5</output>

<gadget id="calculator">(2/3) / (5/2)</gadget>
<output>4/15 = around 0.266667</output>

<gadget id="calculator">1_200 * (4/15)</gadget>
<output>320</output>

<result>320</result>