The Correct Answer and Explanation is:
Of course. Here is the answer and explanation.
53.49%
To convert the fraction 23/43 into a percent, you follow a straightforward two-step process. The core idea behind this conversion is to determine what portion of 100 the fraction represents, since “percent” literally means “per hundred.”
First, you must convert the fraction into a decimal. A fraction is simply another way of expressing a division problem. In this case, the fraction 23/43 means you need to divide the numerator, 23, by the denominator, 43. Performing this division gives you a decimal value.
23 ÷ 43 ≈ 0.5348837…
This resulting decimal, 0.5348837…, is the decimal equivalent of the fraction 23/43. As you can see, it is a non-terminating decimal, meaning the digits continue without a repeating pattern. For most practical purposes, we will need to round this number later.
The second step is to convert this decimal into a percentage. To do this, you multiply the decimal by 100 and add a percent symbol (%). Multiplying by 100 effectively shifts the decimal point two places to the right.
0.5348837… × 100 = 53.48837…%
Now, we need to present this answer in a more manageable form by rounding it. A common practice is to round to two decimal places, which is the hundredths place. To do this, we look at the third decimal digit. In our result, 53.48837…, the third decimal digit is 8. The rule of rounding states that if this digit is 5 or greater, we round up the preceding digit. Since 8 is greater than 5, we round up the second decimal digit, which is also an 8, to a 9.
Therefore, 23/43 as a percent, rounded to two decimal places, is 53.49%. This method of dividing the numerator by the denominator and then multiplying by 100 can be used to convert any fraction into a percentage.
