Middle Grades Math: Repeating Decimals and Fractions

Objectives

• Students will explore and predict patterns found in repeating decimals for select fractions.
• Students will determine the repeating digit (or group of digits) for a repeating decimal.
• Students will find repeating digits and use patterns in repeating decimals to determine equivalent fractions.

Vocabulary

• decimal representation
• repeating decimal
• repeating digits

About the Lesson

This lesson involves students exploring patterns in repeating decimals that represent fractions with denominators 9, 99, and 999.
As a result, students will:

• Find the repeating decimal representation for select fractions.
• Find fractions given select repeating decimal representations.