Question
There are 24 empty parking spots and 26 full parking spots in the parking garage. What is the ratio of the number of empty parking spots to the total number of parking spots?
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GPT-4o mini
To find the ratio of the number of empty parking spots to the total number of parking spots, follow these steps:
1. **Determine the total number of parking spots**:
\[
\text{Total parking spots} = \text{Empty parking spots} + \text{Full parking spots}
\]
\[
\text{Total parking spots} = 24 + 26 = 50
\]
2. **Set up the ratio**:
The ratio of empty parking spots to total parking spots can be expressed as:
\[
\text{Ratio} = \frac{\text{Empty parking spots}}{\text{Total parking spots}} = \frac{24}{50}
\]
3. **Simplify the ratio**:
To simplify \(\frac{24}{50}\), both the numerator and the denominator can be divided by their greatest common divisor, which is 2:
\[
\frac{24 \div 2}{50 \div 2} = \frac{12}{25}
\]
Thus, the ratio of the number of empty parking spots to the total number of parking spots is:
\[
\frac{12}{25}
\]
### Final Answer:
The ratio is \(12:25\).
1. **Determine the total number of parking spots**:
\[
\text{Total parking spots} = \text{Empty parking spots} + \text{Full parking spots}
\]
\[
\text{Total parking spots} = 24 + 26 = 50
\]
2. **Set up the ratio**:
The ratio of empty parking spots to total parking spots can be expressed as:
\[
\text{Ratio} = \frac{\text{Empty parking spots}}{\text{Total parking spots}} = \frac{24}{50}
\]
3. **Simplify the ratio**:
To simplify \(\frac{24}{50}\), both the numerator and the denominator can be divided by their greatest common divisor, which is 2:
\[
\frac{24 \div 2}{50 \div 2} = \frac{12}{25}
\]
Thus, the ratio of the number of empty parking spots to the total number of parking spots is:
\[
\frac{12}{25}
\]
### Final Answer:
The ratio is \(12:25\).
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