Answer:
![3 \: batches](https://img.qammunity.org/2023/formulas/mathematics/high-school/7hm4bil5ndqdult5s8t14yz0ysa6vk2m4x.png)
Explanation:
To find the amount of batches you can make with
![2 (3)/(4)](https://img.qammunity.org/2023/formulas/mathematics/high-school/lpfjzten86rwl494lfr4hfqihdvbp1toqn.png)
cups of sugar you have divide
![2 (3)/(4) \: by \: (3)/(4)](https://img.qammunity.org/2023/formulas/mathematics/high-school/lgku7u5fs3f29oqbq1yv5c9iw0v4ljpjpk.png)
First change two and three-quarter into an improper fraction, then divide:
![2 (3)/(4) = (11)/(4) \\ \\ (11)/(4) / (3)/(4) = \: \: (11)/(4) * (4)/(3)](https://img.qammunity.org/2023/formulas/mathematics/high-school/v2irq765y1z6rqz7byvyje4tkuom2f6p7f.png)
![= (11)/(3) \: or \: 3 (2)/(3)](https://img.qammunity.org/2023/formulas/mathematics/high-school/g0cpr19uiwf4m0mdw2n2ddbam3x6em0owz.png)
Since you cannot have two-third a cookie you have to round the answer down to 3.