Question
The amount of oil used in four different recipes is shown in the table.
Recipe
Oil
Bread
2/8 cup
Cookies
1/3 cup
Cake
1/5 cup
Pie
1/7 cup
Which recipe uses the most oil?
bread
cookies
cake
pie
Recipe
Oil
Bread
2/8 cup
Cookies
1/3 cup
Cake
1/5 cup
Pie
1/7 cup
Which recipe uses the most oil?
bread
cookies
cake
pie
Answers
GPT-4o mini
To determine which recipe uses the most oil, we need to compare the amounts in the same form. Let's convert each fraction to a common denominator to make the comparison easier. The common denominator for 8, 3, 5, and 7 is 840.
Now, let's convert each amount of oil:
1. **Bread: \( \frac{2}{8} \) cup**
\[
\frac{2}{8} = \frac{2 \times 105}{8 \times 105} = \frac{210}{840}
\]
2. **Cookies: \( \frac{1}{3} \) cup**
\[
\frac{1}{3} = \frac{1 \times 280}{3 \times 280} = \frac{280}{840}
\]
3. **Cake: \( \frac{1}{5} \) cup**
\[
\frac{1}{5} = \frac{1 \times 168}{5 \times 168} = \frac{168}{840}
\]
4. **Pie: \( \frac{1}{7} \) cup**
\[
\frac{1}{7} = \frac{1 \times 120}{7 \times 120} = \frac{120}{840}
\]
Now we have the following values:
- Bread: \( \frac{210}{840} \)
- Cookies: \( \frac{280}{840} \)
- Cake: \( \frac{168}{840} \)
- Pie: \( \frac{120}{840} \)
Comparing these values:
- Bread: \( 210 \)
- Cookies: \( 280 \)
- Cake: \( 168 \)
- Pie: \( 120 \)
The recipe that uses the most oil is **Cookies**.
Now, let's convert each amount of oil:
1. **Bread: \( \frac{2}{8} \) cup**
\[
\frac{2}{8} = \frac{2 \times 105}{8 \times 105} = \frac{210}{840}
\]
2. **Cookies: \( \frac{1}{3} \) cup**
\[
\frac{1}{3} = \frac{1 \times 280}{3 \times 280} = \frac{280}{840}
\]
3. **Cake: \( \frac{1}{5} \) cup**
\[
\frac{1}{5} = \frac{1 \times 168}{5 \times 168} = \frac{168}{840}
\]
4. **Pie: \( \frac{1}{7} \) cup**
\[
\frac{1}{7} = \frac{1 \times 120}{7 \times 120} = \frac{120}{840}
\]
Now we have the following values:
- Bread: \( \frac{210}{840} \)
- Cookies: \( \frac{280}{840} \)
- Cake: \( \frac{168}{840} \)
- Pie: \( \frac{120}{840} \)
Comparing these values:
- Bread: \( 210 \)
- Cookies: \( 280 \)
- Cake: \( 168 \)
- Pie: \( 120 \)
The recipe that uses the most oil is **Cookies**.