Write 85% as a fraction in simplest form.
Understand the Problem
The question is asking us to convert the percentage 85% into a fraction and simplify it to its lowest terms. The high-level approach is to understand that 85% means 85 out of 100, which can be expressed as a fraction and then simplified.
Answer
85% as a fraction in simplest form is $\frac{17}{20}$.
Answer for screen readers
The simplest form of 85% as a fraction is $\frac{17}{20}$.
Steps to Solve
- Convert the Percentage to a Fraction
To convert 85% to a fraction, write it as $\frac{85}{100}$.
- Simplify the Fraction
Next, find the greatest common divisor (GCD) of 85 and 100. The GCD is 5.
- Divide Both Numerator and Denominator by the GCD
Now, divide both the numerator and denominator by the GCD: $$ \frac{85 \div 5}{100 \div 5} = \frac{17}{20} $$
- Final Result
The simplest form of the fraction is $\frac{17}{20}$.
The simplest form of 85% as a fraction is $\frac{17}{20}$.
More Information
This conversion is commonly used in various applications, such as finance and probability. Understanding how to convert percentages to fractions helps grasp relationships in data representation.
Tips
- Not Reducing to Lowest Terms: Students might leave the fraction as $\frac{85}{100}$ without simplifying. Always check for GCD to reduce.
- Confusing Percent with Decimal: Some may incorrectly convert 85% to 0.85 instead of a fraction. Remember to convert directly to a fraction first.
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