Answer
She would need to fill the (1/2) cup 11 times to obtain the 5 (1/2) cups of water to make soup.
Step-by-step explanation
The question asks us to find the number of times Sandra would need to fill a (1/2) cup in order to make 5 (1/2) cups of water for soup.
The way to do this is to divide 5 (1/2) by (1/2)
5 (1/2) = (11/2)
So,
![\begin{gathered} (11)/(2)/(1)/(2) \\ =(11)/(2)*(2)/(1) \\ =11\text{ times} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/696526mtefohkoiwgueczuyf6dbpomh5no.png)
![\begin{gathered} (5)/(8)/(3)/(4) \\ =(5)/(8)*(4)/(3) \\ =(20)/(24) \\ \text{Divide numerator and denominator by 6} \\ (20)/(24)=(5)/(6) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/aca2pvz3si8690vx1yesdd0ct625y6b411.png)
Hope this Helps!!!