To convert the fraction 18⁄23 to a percentage, follow these steps:
Divide the numerator by the denominator:
( \frac{18}{23} \approx 0.7826 )Multiply the result by 100 to convert it to a percentage:
( 0.7826 \times 100 \approx 78.26\% )
Final Answer:
( \frac{18}{23} ) as a percentage is approximately 78.26%.
To convert any fraction to a percentage, divide the numerator by the denominator and multiply by 100. For \frac{18}{23} , this process yields 78.26%.
Step-by-Step Breakdown:
- Step 1: Division - \frac{18}{23} \approx 0.7826
- Step 2: Conversion - 0.7826 \times 100 = 78.26\%
This method is universally applicable for converting fractions to percentages. It’s a fundamental skill in mathematics and practical applications like finance, statistics, and everyday calculations.
Why is it important to convert fractions to percentages?
+Percentages are often easier to interpret and compare than fractions, especially in contexts like grading, discounts, or statistical analysis.
Can this method be used for any fraction?
+Yes, this method works for all fractions. Simply divide the numerator by the denominator and multiply by 100.
What if the fraction is greater than 1?
+If the fraction is greater than 1 (e.g., ( \frac{25}{20} )), the percentage will be greater than 100%. The process remains the same.
