Write 15% as a fraction in simplest form.
Understand the Problem
The question is asking us to convert 15 percent into a fraction and simplify it to its simplest form.
Answer
$$ \frac{3}{20} $$
Answer for screen readers
$$ \frac{3}{20} $$
Steps to Solve
- Convert percentage to fraction
To convert a percentage to a fraction, remember that "%" means "per hundred." Therefore,
$$ 15% = \frac{15}{100} $$
- Simplify the fraction
Now we simplify the fraction. We need to find the greatest common divisor (GCD) of 15 and 100, which is 5. We divide both the numerator and the denominator by 5:
$$ \frac{15 \div 5}{100 \div 5} = \frac{3}{20} $$
- Final result
Now, we have the simplest form of the fraction:
$$ 15% = \frac{3}{20} $$
$$ \frac{3}{20} $$
More Information
When converting percentages to fractions, remember the base of 100. Simplifying the result makes the fraction easier to use in calculations and comparisons.
Tips
- Forgetting to divide both the numerator and the denominator by the same factor when simplifying. Ensure you find the GCD for accurate simplification.
- Assuming the percentage can be written in other forms without converting to a fraction first.
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