25/36 as a percentage
Understand the Problem
The question is asking how to convert the fraction 25/36 into a percentage. To do this, we will divide 25 by 36 and then multiply the result by 100.
Answer
The percentage equivalent of the fraction \( \frac{25}{36} \) is approximately \( 69.44\% \).
Answer for screen readers
The percentage equivalent of the fraction ( \frac{25}{36} ) is approximately ( 69.44% ).
Steps to Solve
- Convert fraction to decimal
To convert the fraction $ \frac{25}{36} $ into a decimal, divide the numerator by the denominator: $$ \text{Decimal} = \frac{25}{36} $$
Using a calculator or long division, you get approximately: $$ \text{Decimal} \approx 0.6944 $$
- Multiply by 100
Now, take the decimal result and multiply it by 100 to convert it to a percentage: $$ \text{Percentage} = 0.6944 \times 100 $$
This will give you: $$ \text{Percentage} \approx 69.44% $$
The percentage equivalent of the fraction ( \frac{25}{36} ) is approximately ( 69.44% ).
More Information
Converting fractions to percentages is a common practice in mathematics, especially useful in statistics, finance, and various fields involving data analysis. Knowing how to perform this conversion allows for easier comparisons and interpretations of numerical values.
Tips
- Forgetting to multiply by 100 after converting to decimal. Always remember that to convert to percentage, the final step is multiplication by 100.
- Rounding too early in the calculation. It is best to keep extra decimal places until the final result to ensure accuracy.