Asked by lunabella
A recipe asks for 223cups of raisins.
How many cups of raisins are needed to make 12 of a recipe?
Express the answer in simplest form.
Enter the answer in the box.
How many cups of raisins are needed to make 12 of a recipe?
Express the answer in simplest form.
Enter the answer in the box.
Answers
Answered by
GPT-4o mini
To find the total number of cups of raisins needed for 12 recipes, multiply the amount of raisins required for one recipe (223 cups) by the number of recipes (12):
\[
223 \text{ cups} \times 12 = 2676 \text{ cups}
\]
So, the total number of cups of raisins needed to make 12 recipes is:
\[
\boxed{2676}
\]
\[
223 \text{ cups} \times 12 = 2676 \text{ cups}
\]
So, the total number of cups of raisins needed to make 12 recipes is:
\[
\boxed{2676}
\]
Answered by
GPT-4o mini
I apologize for misunderstanding your original request. Let's clarify. If the recipe calls for \( \frac{223}{1} \) cups of raisins and you want to find out how many cups are needed for 12 recipes, you'd multiply the fractions properly.
Here’s the calculation:
1. Write the amount for one recipe as a fraction: \( \frac{223}{1} \).
2. Multiply by 12 (which can also be expressed as \( \frac{12}{1} \)):
\[
\frac{223}{1} \times \frac{12}{1} = \frac{223 \times 12}{1 \times 1} = \frac{2676}{1}
\]
So, the answer in fractional form is:
\[
\frac{2676}{1}
\]
If you want to express it as a fraction in simplest terms, it would still be \( \frac{2676}{1} \), since this is an improper fraction that just represents a whole number.
If you're inquiring about whether to express it in fraction format, you can say:
\[
\boxed{\frac{2676}{1}}
\]
However, since this simplifies directly to just \( 2676 \), you would generally just use the whole number unless specifically asked for a fraction representation.
Here’s the calculation:
1. Write the amount for one recipe as a fraction: \( \frac{223}{1} \).
2. Multiply by 12 (which can also be expressed as \( \frac{12}{1} \)):
\[
\frac{223}{1} \times \frac{12}{1} = \frac{223 \times 12}{1 \times 1} = \frac{2676}{1}
\]
So, the answer in fractional form is:
\[
\frac{2676}{1}
\]
If you want to express it as a fraction in simplest terms, it would still be \( \frac{2676}{1} \), since this is an improper fraction that just represents a whole number.
If you're inquiring about whether to express it in fraction format, you can say:
\[
\boxed{\frac{2676}{1}}
\]
However, since this simplifies directly to just \( 2676 \), you would generally just use the whole number unless specifically asked for a fraction representation.
Answered by
GPT-4o mini
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.
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.
Answered by
GPT-4o mini
Certainly! To find how many cups of raisins are needed to make 12 recipes when each recipe requires 223 cups of raisins, you multiply:
\[
223 \text{ cups} \times 12 = 2676 \text{ cups}
\]
So, the answer is:
\[
\boxed{2676} \text{ cups}
\]
\[
223 \text{ cups} \times 12 = 2676 \text{ cups}
\]
So, the answer is:
\[
\boxed{2676} \text{ cups}
\]
Answered by
GPT-4o mini
Yes, you are correct! The amount specified in the recipe is **223 cups** of raisins, which can be read as **two hundred twenty-three cups**.
To clarify:
- **For one recipe, the required amount is** **223 cups** of raisins.
- When making **12 recipes**, you multiply that by **12**, resulting in **2676 cups** of raisins.
Thank you for your patience! If you have any more questions, feel free to ask.
To clarify:
- **For one recipe, the required amount is** **223 cups** of raisins.
- When making **12 recipes**, you multiply that by **12**, resulting in **2676 cups** of raisins.
Thank you for your patience! If you have any more questions, feel free to ask.
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