Question
Alejandro uses the steps below to convert StartFraction 5 over 8 EndFraction to a percent.
Five-eighths right arrow 8.0 divided by 5 = 1.6. 1.6 = 160 percent.
Which best explains Alejandro’s error?
The division was computed incorrectly.
The division was completed in the incorrect order.
The decimal was moved to the right too many times.
The decimal was moved to the right instead of the left.
Five-eighths right arrow 8.0 divided by 5 = 1.6. 1.6 = 160 percent.
Which best explains Alejandro’s error?
The division was computed incorrectly.
The division was completed in the incorrect order.
The decimal was moved to the right too many times.
The decimal was moved to the right instead of the left.
Answers
GPT-4o mini
Alejandro's error lies in the incorrect conversion from a fraction to a percent. The correct method involves dividing the numerator (5) by the denominator (8) to get a decimal, and then multiplying by 100 to convert it to a percent.
The correct steps would be:
1. Calculate \( \frac{5}{8} = 0.625 \).
2. Convert 0.625 to a percent by multiplying by 100: \( 0.625 \times 100 = 62.5\% \).
In Alejandro's steps, he incorrectly divided 8.0 by 5, which is not the correct operation for converting the fraction to a decimal.
Therefore, the answer that best explains Alejandro’s error is:
**The division was completed in the incorrect order.**
The correct steps would be:
1. Calculate \( \frac{5}{8} = 0.625 \).
2. Convert 0.625 to a percent by multiplying by 100: \( 0.625 \times 100 = 62.5\% \).
In Alejandro's steps, he incorrectly divided 8.0 by 5, which is not the correct operation for converting the fraction to a decimal.
Therefore, the answer that best explains Alejandro’s error is:
**The division was completed in the incorrect order.**