The Correct Answer and Explanation is:
Correct Answer: 39.3
Explanation
The problem asks us to convert the fraction 11/28 into a percentage and then round the result to the nearest tenth of a percent. The process involves three main steps: converting the fraction to a decimal, converting that decimal into a percentage, and finally, rounding the percentage to the specified precision.
Step 1: Convert the Fraction to a Decimal
The first step is to convert the fraction 11/28 into its decimal form. A fraction represents a division operation, where the numerator is divided by the denominator. In this case, we need to calculate 11 divided by 28. Using a calculator for this operation gives us:
11 ÷ 28 = 0.39285714…
This is a repeating decimal, but we only need the first few decimal places to perform the next steps accurately.
Step 2: Convert the Decimal to a Percentage
The term “percent” literally means “per one hundred.” Therefore, to convert any decimal value into a percentage, we multiply it by 100 and add the percent symbol (%). This action scales the number to show how many parts it represents out of a total of one hundred.
Multiplying our decimal result by 100:
0.39285714… × 100 = 39.285714…%
So, 11/28 is equivalent to approximately 39.285714… percent.
Step 3: Round to the Nearest Tenth of a Percent
The final instruction is to round the answer to the nearest tenth of a percent. The “tenths” place is the first digit immediately to the right of the decimal point.
In our number, 39.285714…%, the digit in the tenths place is 2.
To round to the tenths place, we must look at the next digit to its right, which is in the hundredths place. In this case, that digit is 8.
The standard rule for rounding is:
- If the digit to the right of the rounding place is 5 or greater, we round up the digit in the target place.
- If the digit is less than 5, we keep the digit in the target place as it is.
Since the digit in the hundredths place is 8, which is greater than 5, we must round up the digit in the tenths place. The tenths digit, which is 2, gets rounded up to 3. All digits after the tenths place are then dropped.
Therefore, 39.285714…% rounded to the nearest tenth of a percent is 39.3%.
The final answer to be entered in the box is 39.3.
