Write 36% as a fraction in simplest form.
Understand the Problem
The question is asking to express the percentage 36% as a fraction in its simplest form.
Answer
$\frac{9}{25}$
Answer for screen readers
The fraction representing 36% in its simplest form is $\frac{9}{25}$.
Steps to Solve
- Convert Percentage to Fraction
To convert a percentage to a fraction, place the percentage value over 100.
Thus,
$$ 36% = \frac{36}{100} $$
- Simplify the Fraction
Next, simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 36 and 100 is 4.
Now divide both the numerator and denominator by the GCD:
$$ \frac{36 \div 4}{100 \div 4} = \frac{9}{25} $$
- Final Result
The simplest form of the fraction is:
$$ 36% = \frac{9}{25} $$
The fraction representing 36% in its simplest form is $\frac{9}{25}$.
More Information
Expressing percentages as fractions is common in mathematics, particularly in finance and statistics. It helps to better understand proportions and ratios.
Tips
- Not simplifying the fraction after converting from percentage.
- Miscalculating the GCD, which can lead to incorrect simplification.
AI-generated content may contain errors. Please verify critical information
