What is 23/38 as a percentage?
Understand the Problem
The question is asking how to convert the fraction 23/38 into a percentage. To do this, we will divide 23 by 38 and then multiply the result by 100.
Answer
The fraction \( \frac{23}{38} \) is approximately \( 60.53\% \).
Answer for screen readers
The percentage equivalent of the fraction ( \frac{23}{38} ) is approximately ( 60.53% ).
Steps to Solve
- Divide the numerator by the denominator
To convert the fraction ( \frac{23}{38} ) into a decimal, divide 23 by 38.
$$ \text{Decimal} = \frac{23}{38} \approx 0.605263 $$
- Multiply by 100
Next, take the decimal result and multiply it by 100 to convert it into a percentage.
$$ \text{Percentage} = 0.605263 \times 100 \approx 60.5263 $$
- Round to desired precision
Typically, percentages are rounded to two decimal places for clarity.
$$ \text{Rounded Percentage} \approx 60.53% $$
The percentage equivalent of the fraction ( \frac{23}{38} ) is approximately ( 60.53% ).
More Information
This conversion allows us to understand the fraction in terms of how much it represents out of 100, which can be easier to visualize and compare with other percentages.
Tips
- Forgetting to multiply the decimal result by 100, leading to a final result that is still in decimal form.
- Failing to round to the appropriate number of decimal places, which can affect the clarity of the percentage.
