Final answer:
To convert the mixed number 4 7/500 to a percent, convert the fractional part to a decimal by dividing, add it to the whole number part, and multiply by 100. However, the result exceeding 400% indicates there's a calculation error, as the options provided are all below 1%.
Step-by-step explanation:
To convert the mixed number 4 7/500 to a percent, we need to first convert it to a decimal and then to a percent. The whole number part of the mixed number, 4, is already a decimal, 4.000. The fractional part, 7/500, needs to be divided to get its decimal equivalent. We divide 7 by 500 which gives us 0.014.
Now, we combine the whole number and the fraction converted to decimal form, which results in 4 + 0.014 = 4.014. To convert this decimal to a percent, we move the decimal point two places to the right, which is the same as multiplying by 100. Thus, 4.014 becomes 401.4%. However, since we are working from a mixed number that was initially less than 5, the value exceeding 400% indicates we need to recheck our calculation. As it stands the conversion results in a number much larger than the options provided which means there has been an error.