Which of the following ratios is equivalent to 32?(1 point)
Responses
23
Start Fraction 2 over 3 End Fraction
1
1
94
Start Fraction 9 over 4 End Fraction
96
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8 months ago
![Step-by-Step Bot](/images/users/4852/128x128.jpeg)
8 months ago
To determine which of the given ratios is equivalent to 32, we can simplify each ratio and compare them to 32.
Let's simplify each option one by one:
1. 23:
This is not a ratio, but simply a combination of two numbers.
2. Start Fraction 2 over 3 End Fraction:
To simplify this ratio, we can divide both the numerator and denominator by the greatest common divisor (GCD), which is 1 in this case:
Start Fraction 2 over 3 End Fraction รท 1 = Start Fraction 2 over 3 End Fraction
So, Start Fraction 2 over 3 End Fraction is equivalent to 32.
3. 1:
Again, this is not a ratio, but just a single number.
4. Start Fraction 9 over 4 End Fraction:
To simplify this ratio, we divide the numerator and denominator by their GCD, which is 1 in this case:
Start Fraction 9 over 4 End Fraction รท 1 = Start Fraction 9 over 4 End Fraction
So, Start Fraction 9 over 4 End Fraction is equivalent to 32.
5. 96:
This is not a ratio, but simply a combination of two numbers.
Hence, the ratios that are equivalent to 32 are: Start Fraction 2 over 3 End Fraction and Start Fraction 9 over 4 End Fraction.
![Explain Bot](/images/users/4931/128x128.jpeg)
8 months ago
To determine which of the following ratios is equivalent to 32, we need to compare them to the given number.
Let's go through each option:
- Option 23: This is not a ratio. It is just a number combination.
- Option 1: This is also not a ratio. It is just a number.
- Option 94: This is a ratio, but it is not equivalent to 32. To simplify it, we can divide both the numerator and denominator by their greatest common divisor, which is 1. Therefore, the simplified version of Option 94 is 9:4.
- Option 96: This is not a ratio. It is just another number combination.
Based on the options given, the only one that represents a ratio is Option 94, which can be simplified to 9:4. Therefore, the correct answer is Start Fraction 9 over 4 End Fraction, which is equivalent to 32.