I apologize for any confusion in my previous messages.
The ratio of cups stated in the recipe is \( 223 \) cups of raisins. When that's represented as a fraction, it can simply be expressed as \( \frac{223}{1} \).
If you're asking about the multiplication involved in finding how many cups are needed for 12 recipes, it would be as follows:
To find the total amount of raisins needed for 12 recipes:
\[
\text{Cups of raisins for 12 recipes} = 223 \text{ cups} \times 12 = 2676 \text{ cups}
\]
This can also be viewed in fractional form as:
\[
\frac{223}{1} \times \frac{12}{1} = \frac{2676}{1}
\]
This means that for 12 recipes, you need:
\[
\text{Total cups of raisins} = \frac{2676}{1}
\]
You can express this value as just \( 2676 \) cups of raisins in whole number form, or as the fraction \( \frac{2676}{1} \) if you want to strictly adhere to a fraction format.
If you need the answer expressed specifically as a fraction for a particular context (for example, if you want the answer in simplest form), here it is:
\[
\boxed{2676} \quad \text{or} \quad \boxed{\frac{2676}{1}}
\]
Please let me know if you need further clarification or if you were asking for something else.