Choe used 7/12 cup (option A)
Step-by-step explanation:
Number of cups of flours to bake a cake = 2 2/3
Number of cups of flours to make a loaf of bread = 3 1/4
To find how much more cups of flour was used in baking a loaf of bread than a cake, we will subtract the number of cups for the cake from the number of cups from the bread
![\begin{gathered} 3(1)/(4)\text{ - 2}(2)/(3) \\ \text{convert the mixed fraction to improper fraction:} \\ 3(1)/(4)\text{ = 13/4} \\ \text{2}(2)/(3)\text{ = 8/3} \\ \\ 3(1)/(4)\text{ - 2}(2)/(3)\text{ = }(13)/(4)\text{ - }(8)/(3) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/tkxgcqmxbcou8rrahrnjokccln17j2j9ep.png)
![\begin{gathered} \text{LCM of both fractions: 12} \\ (3(13)-4(8))/(12)\text{ } \\ =\text{ }\frac{39\text{ - 32}}{12} \\ =\text{ }(7)/(12) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/v37lmark0you58rz1bpg4mmg4llel1v1j7.png)
Hence, Choe used 7/12 cup more to bake the loaf of bread (option A)