Step-by-step explanation
Given that: Carmela says that 3/6 is more than 2/3 because 3 pieces are more than 2 pieces
I will disagree with Carmela because
If we use the principle of equivalent fraction
![\begin{gathered} (2)/(3)\text{ is equivalent to }(2)/(3)\text{ }*\text{ }(2)/(2)\text{ =}(4)/(6) \\ \\ \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/5h5eajc7um4muxh2xte0frv2d8jz3i6sb7.png)
So instead, Carmela should have compared
![(3)/(6)\text{ to }(4)/(6)](https://img.qammunity.org/2023/formulas/mathematics/college/e07x5jaydazi2ej9w8lomz8jjikubdwjv2.png)
From the above
![\begin{gathered} (3)/(6)\text{ is less than}(4)/(6) \\ \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/59eawukzyigp21ggbemou2o81r5kkxwnvv.png)
Thus, 2/3 is actually greater than 3/6
Carmela is wrong because she took the wrong approach to determine the greater value