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.

Lesson overview

Expand to review the lesson summary and core properties.

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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.