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Chapter 2: Problem 39

Convert to percent notation. $$ \frac{4}{5} $$

Short Answer

Expert verified
80%

Step by step solution

01

Understand the Fraction

The fraction given is \(\frac{4}{5}\). The goal is to convert this fraction into a percentage.
02

Convert Fraction to Decimal

Divide the numerator (4) by the denominator (5): \( \frac{4}{5} = 0.8 \)
03

Convert Decimal to Percentage

Multiply the decimal by 100 to convert it to a percentage: \( 0.8 \times 100 = 80 \).
04

Write the Answer

The percentage notation for the fraction is 80%.

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Key Concepts

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

fraction to decimal
Converting fractions to decimals is a key step before you can change them into percentages. Let's start by understanding the fraction \( \frac{4}{5} \). The fraction bar or division line in a fraction also means 'divided by'. So, \( \frac{4}{5} \) means 4 divided by 5.

To convert this fraction to a decimal, simply perform the division: \( 4 \div 5 = 0.8 \).

This decimal form is more straightforward to work with in calculations. Whenever you're converting a fraction to a percentage, always convert it to a decimal first.

Some quick tips:
  • Fractions where the numerator is smaller than the denominator will yield decimals less than 1.
  • Fractions where the numerator is greater than the denominator will yield decimals greater than 1.
fraction conversion
Fraction conversion involves changing how numbers are represented, while retaining their values.

Common conversions include:
  • Fractions to decimals (like \( \frac{4}{5} \) to 0.8)
  • Fractions to percentages
  • Decimals to percentages and vice versa


When converting a fraction like \( \frac{4}{5} \), you first convert it to a decimal. Next, you convert this decimal to a percentage. This two-step process is essential for various math problems and real-life scenarios like calculating discounts or interpreting data.
percentage calculation
Percentage calculation is straightforward once you've converted your fraction to a decimal.

After obtaining your decimal (0.8 in this case), you multiply it by 100 to transform it into a percentage. So, \( 0.8 \times 100 = 80 \)%

This multiplication works because a percent symbol (%) means 'per hundred'. Therefore, multiplying by 100 shifts the decimal two places to the right, converting it into an easy-to-read percentage format.

Here are some quick pointers:
  • Always multiply decimals by 100 to get percentages.
  • The process is the same for decimals greater than or less than 1.
  • Revising basic multiplication can make this conversion faster.


So now you see, from \( \frac{4}{5} \) to 0.8 and then 80%, it's all about just converting forms while keeping the value the same.

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Most popular questions from this chapter

How is the use of statistics in each of the following misleading? a) A business explaining new restrictions on sick leave cited a recent survey indicating that \(40 \%\) of all sick days were taken on Monday or Friday. b) An advertisement urging summer installation of a security system quoted FBI statistics stating that over \(26 \%\) of home burglaries occur between Memorial Day and Labor Day.

Use an inequality and the five-step process to solve each problem. Rod's quiz grades are \(73,75,89,\) and 91. What scores on a fifth quiz will make his average quiz grade at least \(85 ?\)

Use an inequality and the five-step process to solve each problem. In order to qualify for a batting title, a major-league baseball player must average at least 3.1 plate appearances per game. For the first nine games of the season, a player had \(5,1,4,2,3,4,4,3,\) and 2 plate appearances. How many plate appearances must the player have in the tenth game in order to average at least 3.1 per game?

To prepare for Section \(2.6,\) review inequalities. Write a true sentence using either \(<\) or \(>\) $$-9 \square-12$$

Translate to an inequality. The maximum safe-exposure limit of formaldehyde is 2 parts per million.
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