If a job is done alone, A needs 24 days, B needs 36 days, and C needs 48 days. Now A will do it first, then B will do it, and finally C will finish it. The ratio of A and B's working days is 1:2, and the ratio of B and C's working days is 3:5. Q: How many days did it take to complete this work?
如果单独完成某项工作，那么甲需要24天，乙需要36天，丙需要48天．现在甲先做，乙后做，最后由丙完成．甲、乙工作的天数比为1：2，乙、丙工作天数比为3：5．问：完成这项工作共用了多少天？
<gadget id="calculator">1 / 24</gadget>
<output>1/24 = around 0.041667</output>

<gadget id="calculator">3 / 19</gadget>
<output>3/19 = around 0.157895</output>

<gadget id="calculator">(1/24) * (3/19)</gadget>
<output>1/152 = around 0.006579</output>

<gadget id="calculator">1 / 36</gadget>
<output>1/36 = around 0.027778</output>

<gadget id="calculator">6 / 19</gadget>
<output>6/19 = around 0.315789</output>

<gadget id="calculator">(1/36) * (6/19)</gadget>
<output>1/114 = around 0.008772</output>

<gadget id="calculator">1 / 48</gadget>
<output>1/48 = around 0.020833</output>

<gadget id="calculator">10 / 19</gadget>
<output>10/19 = around 0.526316</output>

<gadget id="calculator">(1/48) * (10/19)</gadget>
<output>5/456 = around 0.010965</output>

<gadget id="calculator">(1/152) + (1/114) + (5/456)</gadget>
<output>1/38 = around 0.026316</output>

<gadget id="calculator">1 / (1/38)</gadget>
<output>38</output>

<result>38</result>