Master Li processes a batch of parts. He has already processed all (3/8), and then processes 30 more. At this time, the ratio of the remaining parts to the number of processed parts is 5:4. How many parts are there in this batch?
李师傅加工一批零件，已加工了全部的(3/8)，再加工30个，这时剩下的与已加工的个数比是5：4，这批零件共有多少个？
<gadget id="calculator">5 + 4</gadget>
<output>9</output>

<gadget id="calculator">4 / 9</gadget>
<output>4/9 = around 0.444444</output>

<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>

<gadget id="calculator">(4/9) - (3/8)</gadget>
<output>5/72 = around 0.069444</output>

<gadget id="calculator">30 / (5/72)</gadget>
<output>432</output>

<result>432</result>