The original (1/3) students of Xinhua Primary School participated in the speech contest, and then 5 students took the initiative to participate. The actual number of participants was (3/5) of the rest. How many students actually participated in the competition?
新华小学原有(1/3)的同学参加演讲比赛，后来又来5名同学主动参加，实际参加的人数是其余人数的(3/5)，实际参加比赛的同学有多少人？
<gadget id="calculator">3 + 5</gadget>
<output>8</output>

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

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

<gadget id="calculator">(3/8) - (1/3)</gadget>
<output>1/24 = around 0.041667</output>

<gadget id="calculator">5 / (1/24)</gadget>
<output>120</output>

<gadget id="calculator">120 * (1/3)</gadget>
<output>40</output>

<gadget id="calculator">40 + 5</gadget>
<output>45</output>

<result>45</result>