Xiaoyi has many identical pizzas, she will give (1/3) of all her pizzas plus (2/3) to A, and then she will add (1/4) of the remaining pizzas at this time Give the last (1/2) to B, and then she will give (1/2) of the remaining pizza to C, and she will add (1/2) to the (1/2) of the remaining pizza at this time Give one to D. In the end, Xiaoyi still has 5 pizzas left. May I ask how many pizzas she had in total?
小怡有许多个完全相同的披萨，她将她所有披萨的(1/3)，另外加上(2/3)个送给A，然后她将此时剩余披萨的(1/4)另外加上(1/2)个送给B，接着她再将此时剩余披萨的(1/2)送给C，她又将此时剩余披萨的(1/2)另外加上(1/2)个送给D，最后，小怡还剩下5个披萨，请问她原来共有多少个披萨．
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">5 + (1/2)</gadget>
<output>11/2 = around 5.5</output>

<gadget id="calculator">1 - (1/2)</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">(11/2) / (1/2)</gadget>
<output>11</output>

<gadget id="calculator">11 / (1/2)</gadget>
<output>22</output>

<gadget id="calculator">22 + (1/2)</gadget>
<output>45/2 = around 22.5</output>

<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>

<gadget id="calculator">1 - (1/4)</gadget>
<output>3/4 = around 0.75</output>

<gadget id="calculator">(45/2) / (3/4)</gadget>
<output>30</output>

<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">30 + (2/3)</gadget>
<output>92/3 = around 30.666667</output>

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

<gadget id="calculator">1 - (1/3)</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">(92/3) / (2/3)</gadget>
<output>46</output>

<result>46</result>