A recipe for modeling clay requires 1/3 cup of salt. how many recipes of salt can carla make with 7 3/4 cups of salt

Answer:
- The error is: [tex](\frac{31}{4})(\frac{1}{3})[/tex]
- The correct solution is: [tex]\frac{93}{4}=23^{\frac{1}{4}}[/tex] (Carla can make approximately 23 recipes with the clay).
Step-by-step explanation:
1. Carla must divide [tex]\frac{31}{4}[/tex] ÷ [tex]\frac{1}{3}[/tex] as following:
- Take the reciprocal of [tex]\frac{1}{3}[/tex].
- Multiply the numerators and the denominators.
Then:
[tex](\frac{31}{4})(\frac{1}{3})=\frac{(31)(3)}{(4)(1)}=\frac{93}{4}[/tex]
2. As a mixed number:
[tex]\frac{93}{4}=23^{\frac{1}{4}}[/tex]
3. Therefore, Carla can make approximately 23 recipes with the clay.