Learn on PengiOpenstax Prealgebre 2EChapter 6: Percents

Lesson 1: Understand Percent

In this OpenStax Prealgebra 2E lesson, students learn the definition of percent as a ratio with a denominator of 100 and practice using the percent symbol to represent real-world data. The lesson covers how to convert percents to fractions by writing them over 100 and simplifying, as well as converting between percents, fractions, and decimals. This foundational lesson prepares students for applying percent concepts to practical problems involving money, statistics, and everyday situations.

Section 1

๐Ÿ“˜ Understand Percent

New Concept

A percent is a special way to represent a part of a whole, specifically as a ratio with a denominator of 100. This lesson covers how to define, interpret, and convert between percents, fractions, and decimals.

Whatโ€™s next

Next, youโ€™ll work through interactive examples and practice cards to master these conversions. Get ready to tackle some real-world challenge problems!

Section 2

Definition of a percent

Property

A percent is a ratio whose denominator is 100.

Examples

  • 57 out of 100 students is 57%, which is the ratio 57100\frac{57}{100}.
  • 25% means a ratio of 25100\frac{25}{100}.

Section 3

Convert a percent to a fraction

Property

To convert a percent to a fraction:

Step 1. Write the percent as a ratio with the denominator 100.

Step 2. Simplify the fraction if possible.

Section 4

Convert a percent to a decimal

Property

To convert a percent to a decimal:

Step 1. Write the percent as a ratio with the denominator 100.

Step 2. Convert the fraction to a decimal by dividing the numerator by the denominator.

Section 5

Convert a decimal to a percent

Property

To convert a decimal to a percent:

Step 1. Write the decimal as a fraction.

Step 2. If the denominator of the fraction is not 100, rewrite it as an equivalent fraction with denominator 100.

Section 6

Convert a fraction to a percent

Property

To convert a fraction to a percent:

Step 1. Convert the fraction to a decimal.

Step 2. Convert the decimal to a percent.

Book overview

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Chapter 6: Percents

  1. Lesson 1Current

    Lesson 1: Understand Percent

  2. Lesson 2

    Lesson 2: Solve General Applications of Percent

  3. Lesson 3

    Lesson 3: Solve Sales Tax, Commission, and Discount Applications

  4. Lesson 4

    Lesson 4: Solve Simple Interest Applications

  5. Lesson 5

    Lesson 5: Solve Proportions and their Applications

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

๐Ÿ“˜ Understand Percent

New Concept

A percent is a special way to represent a part of a whole, specifically as a ratio with a denominator of 100. This lesson covers how to define, interpret, and convert between percents, fractions, and decimals.

Whatโ€™s next

Next, youโ€™ll work through interactive examples and practice cards to master these conversions. Get ready to tackle some real-world challenge problems!

Section 2

Definition of a percent

Property

A percent is a ratio whose denominator is 100.

Examples

  • 57 out of 100 students is 57%, which is the ratio 57100\frac{57}{100}.
  • 25% means a ratio of 25100\frac{25}{100}.

Section 3

Convert a percent to a fraction

Property

To convert a percent to a fraction:

Step 1. Write the percent as a ratio with the denominator 100.

Step 2. Simplify the fraction if possible.

Section 4

Convert a percent to a decimal

Property

To convert a percent to a decimal:

Step 1. Write the percent as a ratio with the denominator 100.

Step 2. Convert the fraction to a decimal by dividing the numerator by the denominator.

Section 5

Convert a decimal to a percent

Property

To convert a decimal to a percent:

Step 1. Write the decimal as a fraction.

Step 2. If the denominator of the fraction is not 100, rewrite it as an equivalent fraction with denominator 100.

Section 6

Convert a fraction to a percent

Property

To convert a fraction to a percent:

Step 1. Convert the fraction to a decimal.

Step 2. Convert the decimal to a percent.

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 6: Percents

  1. Lesson 1Current

    Lesson 1: Understand Percent

  2. Lesson 2

    Lesson 2: Solve General Applications of Percent

  3. Lesson 3

    Lesson 3: Solve Sales Tax, Commission, and Discount Applications

  4. Lesson 4

    Lesson 4: Solve Simple Interest Applications

  5. Lesson 5

    Lesson 5: Solve Proportions and their Applications