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Chapter 8: Problem 62

Convert to fraction notation. $$ 99 \% $$

Short Answer

Expert verified
99% as a fraction is \( \frac{99}{100} \).

Step by step solution

01

- Understand Percentage

A percentage represents a part per hundred. So, 99% means 99 out of every 100 units.
02

- Write as a Fraction

Write the percentage as a fraction over 100. Thus, 99% becomes \( \frac{99}{100} \).
03

- Simplify the Fraction

Check if the fraction can be simplified. Since 99 and 100 have no common factors other than 1, the fraction \( \frac{99}{100} \) is already in its simplest form.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

fraction notation
In basic mathematics, understanding how to express percentages as fractions is crucial. A percentage represents a part out of 100. For example, when you see 99%, it means 99 out of 100. To write this in fraction notation, you simply place the number over 100: \( 99\% = \frac{99}{100} \). This format helps to make percentages clearer in mathematical problems and equations.
simplifying fractions
Simplifying fractions is an essential skill in mathematics. Once you have a fraction, you need to see if it can be reduced to a simpler form. This means dividing both the numerator (top number) and the denominator (bottom number) by their greatest common divisor (GCD). However, in the case of \( \frac{99}{100} \), the numbers 99 and 100 do not have common factors other than 1. Therefore, this fraction is already in its simplest form. Always look for common factors to simplify the fraction for ease of use in further calculations.
basic mathematics
Grasping the basics of mathematics is important for more complex problem solving. Converting percentages to fractions and simplifying those fractions are foundational skills. Here鈥檚 a quick recap of the steps:
- Recognize that percentages are out of 100.
- Convert the percentage to a fraction by placing it over 100. For example, \( 99\% \) becomes \( \frac{99}{100} \).
- Simplify the fraction if possible by finding the greatest common divisor.
With these steps, you can handle a variety of percentage problems easily and effectively.

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