We want to find how many times 1 1/2 cups fits in to 48 cups. In other words, we need to divide 48 by 1 1/2.
To make easier, let's convert 1 1/2 in to a proper fraction:
![1+(1)/(2)=(2)/(2)+(1)/(2)=(3)/(2)](https://img.qammunity.org/2023/formulas/mathematics/college/7lg8pez20hbp8v62zzhc6sztsqh7p9b3rz.png)
Now we want to divide 48 by 3/2. Remember that divide by a fraction is the same as multiply by the inverse:
![48/(3)/(2)=48\cdot(2)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/trvwdx8qizvxz0lzr2rod0d5tgpdflbkzg.png)
Now solve:
![(48\cdot2)/(3)=(96)/(3)=32](https://img.qammunity.org/2023/formulas/mathematics/college/zctbj8wn2xf8uisqyne3ibnomqtlsmx5ox.png)
Thus, the amount of serving with 48 cups is 32.