The school held a mathematics competition, in which female students accounted for (2/5) of the total number of participants, and 40 more male students participated than (5/6) female students participated. How many female students participated in this competition?
学校进行一次数学竞赛，其中女同学占参赛总人数的(2/5)，参赛的男同学比参赛的女同学的(5/6)多40人．女同学有多少人参加这次竞赛？
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>

<gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>

<gadget id="calculator">(2/5) * (5/6)</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">1 - (2/5) - (1/3)</gadget>
<output>4/15 = around 0.266667</output>

<gadget id="calculator">40 / (4/15)</gadget>
<output>150</output>

<gadget id="calculator">150 * (2/5)</gadget>
<output>60</output>

<result>60</result>