Learn on PengienVision, Mathematics, Grade 6Chapter 6: Understand and Use Percent

Lesson 2: 6-2 Relate Fractions, Decimals, and Percents

In this Grade 6 lesson from enVision Mathematics Chapter 6, students learn to write equivalent values as fractions, decimals, and percents by using division and equivalent ratios. The lesson covers converting between all three forms, including expressing percents like 30% as fractions with a denominator of 100, rewriting fractions such as 3/5 and 5/8 as decimals through long division, and finding equivalent rates to express results as percents. Aligned to Common Core standard 6.RP.A.3c, students build fluency recognizing that fractions, decimals, and percents are three different ways to represent the same part of a whole.

Section 1

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 2

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 3

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.

Book overview

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Chapter 6: Understand and Use Percent

  1. Lesson 1

    Lesson 1: 6-1 Understand Percent

  2. Lesson 2Current

    Lesson 2: 6-2 Relate Fractions, Decimals, and Percents

  3. Lesson 3

    Lesson 3: 6-3 Represent Percents Greater Than 100 or Less Than 1

  4. Lesson 4

    Lesson 4: 6-4 Estimate to Find Percent

  5. Lesson 5

    Lesson 5: 6-5 Find the Percent of a Number

  6. Lesson 6

    Lesson 6: 6-6 Find the Whole Given a Part and the Percent

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

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 2

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 3

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.

Book overview

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

Continue this chapter

Chapter 6: Understand and Use Percent

  1. Lesson 1

    Lesson 1: 6-1 Understand Percent

  2. Lesson 2Current

    Lesson 2: 6-2 Relate Fractions, Decimals, and Percents

  3. Lesson 3

    Lesson 3: 6-3 Represent Percents Greater Than 100 or Less Than 1

  4. Lesson 4

    Lesson 4: 6-4 Estimate to Find Percent

  5. Lesson 5

    Lesson 5: 6-5 Find the Percent of a Number

  6. Lesson 6

    Lesson 6: 6-6 Find the Whole Given a Part and the Percent