Question
In Mr. Cannon's class, 36% scored an 80 or above on the semester exam. Which of the following is NOT equivalent to 36%?
A. 18/50
B. 0.36
C. 9/20
D. 9/25
A. 18/50
B. 0.36
C. 9/20
D. 9/25
Answers
GPT-4o mini
To determine which option is NOT equivalent to 36%, we need to convert 36% into a fraction and a decimal, then compare it to the given options.
1. **As a fraction**:
36% can be expressed as:
\[
36\% = \frac{36}{100}
\]
This fraction can be simplified by dividing both the numerator and the denominator by 4:
\[
\frac{36 \div 4}{100 \div 4} = \frac{9}{25}
\]
2. **As a decimal**:
\[
36\% = 0.36
\]
Now we can check each option:
A. **18/50**:
Simplifying \( \frac{18}{50} \):
\[
\frac{18 \div 2}{50 \div 2} = \frac{9}{25}
\]
This is equivalent to 36%.
B. **0.36**:
This is in decimal form directly equivalent to 36%.
C. **9/20**:
Converting \( \frac{9}{20} \) to a decimal:
\[
9 \div 20 = 0.45
\]
This is NOT equivalent to 36%.
D. **9/25**:
We already established that \( \frac{9}{25} \) is equivalent to 36%.
Thus, the option which is NOT equivalent to 36% is:
**C. 9/20**
1. **As a fraction**:
36% can be expressed as:
\[
36\% = \frac{36}{100}
\]
This fraction can be simplified by dividing both the numerator and the denominator by 4:
\[
\frac{36 \div 4}{100 \div 4} = \frac{9}{25}
\]
2. **As a decimal**:
\[
36\% = 0.36
\]
Now we can check each option:
A. **18/50**:
Simplifying \( \frac{18}{50} \):
\[
\frac{18 \div 2}{50 \div 2} = \frac{9}{25}
\]
This is equivalent to 36%.
B. **0.36**:
This is in decimal form directly equivalent to 36%.
C. **9/20**:
Converting \( \frac{9}{20} \) to a decimal:
\[
9 \div 20 = 0.45
\]
This is NOT equivalent to 36%.
D. **9/25**:
We already established that \( \frac{9}{25} \) is equivalent to 36%.
Thus, the option which is NOT equivalent to 36% is:
**C. 9/20**