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Chapter 6: Problem 66

Find fraction notation for the percent notations in the table below. $$ 13 \% $$

Short Answer

Expert verified
\( \frac{13}{100} \)

Step by step solution

01

Understand Percent Notation

Percent notation indicates a number out of 100. For instance, 13% means 13 out of 100.
02

Convert Percent to Fraction

To convert 13% to a fraction, write it as \(\frac{13}{100}\).
03

Simplify the Fraction (if possible)

Check if \(\frac{13}{100}\) can be simplified. Since 13 is a prime number and does not share any common factors with 100 besides 1, \(\frac{13}{100}\) 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.

percent to fraction conversion
Percent to fraction conversion is a fundamental step in many math problems. When you see a percent, it indicates a part of a whole out of 100. For example, 13% means 13 out of 100.
This conversion is essential in various mathematical applications, including algebra and probability. The process is straightforward:
  • Remove the percent sign (%)
  • Write the number as the numerator (top part) of a fraction
  • Place 100 as the denominator (bottom part) of the fraction

As a quick example: 13% changes to \(\frac{13}{100}\). This is simple yet very powerful in understanding fractions.
simplifying fractions
Simplifying fractions involves reducing them to their simplest form. This means ensuring the numerator and denominator have no common factors other than 1. Here鈥檚 how you can simplify:
  • Find the greatest common divisor (GCD) of both numbers.
  • Divide both the numerator and the denominator by the GCD.

In our example, \(\frac{13}{100}\), 13 and 100 do not share any common factors besides 1. Therefore, \(\frac{13}{100}\) is already in its simplest form. Sometimes, you'll encounter fractions that can be simplified, and this step can make the fractions easier to work with in future calculations.
percent notation
Percent notation is used to express a number as a fraction of 100. It鈥檚 represented with a percent sign (%) and is widely used in various fields, from finance to everyday mathematics.
Understanding percent notation is key to solving many math problems:
  • It allows quick comparison of different values relative to 100.
  • It's useful in calculating discounts, interest rates, and probabilities.

For instance, if you see 13%, you know it means 13 out of 100. Converting this to fraction form helps in more detailed calculations. Remember, percent notation is just another way to represent fractions, making it easier to understand proportions at a glance.

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Most popular questions from this chapter

On a test of 40 items, Christina got \(91 \%\) correct. (There was partial credit on some items.) How many items did she get correct? incorrect?

In 2016, there were 33,611 organ transplants in the United States. Approximately \(23.3 \%\) were liver transplants and \(9.5 \%\) were heart transplants. How many liver transplants and how many heart transplants were performed in \(2016 ?\)

Solve. David earns \(\$ 1147.50\) for selling \(\$ 7650\) worth of car parts. What is the commission rate?

Simplify: \((12-3)^{2}-9+5^{2}\)

Convert to standard notation. $$ 4.03 \text { trillion } $$
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