In the new semester, the teacher distributes books to the students. After some of them are distributed, the distributed books account for 1/4 of the unpublished books. After another 9 books are distributed, the distributed books account for 2/3 of the unpublished books. , How many books will the teacher distribute in total?
新学期，老师给同学们发书，发了一部分后，已发的书占未发的(1/4)，又发了9本后，已发的书占未发书的(2/3)，老师一共要发多少本书？
<gadget id="calculator">2 + 3</gadget>
<output>5</output>

<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>

<gadget id="calculator">1 + 4</gadget>
<output>5</output>

<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">(2/5) - (1/5)</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">9 / (1/5)</gadget>
<output>45</output>

<result>45</result>