Learn on PengiPengi Math (Grade 6)Chapter 3: Ratios, Rates, and Percent

Lesson 6: Understanding and Converting Percents

In this Grade 6 Pengi Math lesson from Chapter 3, students learn to define percent as a ratio per 100 and convert fluently between fractions, decimals, and percents. The lesson also covers recognizing percents greater than 100% and less than 1%, and using benchmark fractions and percents for estimation.

Section 1

The Meaning of Percent

Property

A percent is a ratio that compares a number to 100.
The symbol % means "per hundred," so any percent can be written as a fraction with a denominator of 100.

p%=p100p\% = \frac{p}{100}

Section 2

Understanding 100% as the Whole

Property

100%=1100\% = 1 (the complete whole)
This means that 100% represents the entire quantity or the complete amount of something.

Examples

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.

Book overview

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

Continue this chapter

Chapter 3: Ratios, Rates, and Percent

  1. Lesson 1

    Lesson 1: Understanding Ratios and Ratio Language

  2. Lesson 2

    Lesson 2: Equivalent Ratios and Scaling

  3. Lesson 3

    Lesson 3: Solving Ratio Problems with Models

  4. Lesson 4

    Lesson 4: Rates and Unit Rates

  5. Lesson 5

    Lesson 5: Comparing Ratios and Rates

  6. Lesson 6Current

    Lesson 6: Understanding and Converting Percents

  7. Lesson 7

    Lesson 7: Solving Percent Problems

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

The Meaning of Percent

Property

A percent is a ratio that compares a number to 100.
The symbol % means "per hundred," so any percent can be written as a fraction with a denominator of 100.

p%=p100p\% = \frac{p}{100}

Section 2

Understanding 100% as the Whole

Property

100%=1100\% = 1 (the complete whole)
This means that 100% represents the entire quantity or the complete amount of something.

Examples

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.

Book overview

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

Continue this chapter

Chapter 3: Ratios, Rates, and Percent

  1. Lesson 1

    Lesson 1: Understanding Ratios and Ratio Language

  2. Lesson 2

    Lesson 2: Equivalent Ratios and Scaling

  3. Lesson 3

    Lesson 3: Solving Ratio Problems with Models

  4. Lesson 4

    Lesson 4: Rates and Unit Rates

  5. Lesson 5

    Lesson 5: Comparing Ratios and Rates

  6. Lesson 6Current

    Lesson 6: Understanding and Converting Percents

  7. Lesson 7

    Lesson 7: Solving Percent Problems