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Write a repeating decimal as a fraction

Free printable Algebra 2 math worksheet for "Write a repeating decimal as a fraction" — practice series. No-prep, print or assign online.

This worksheet provides challenging problems focused on converting repeating decimals into fractions, reinforcing students' understanding of series and algebraic manipulation. Teachers can use this resource to deepen students' comprehension of infinite geometric series and their applications in expressing decimals as fractions. Ideal for Algebra 2 classrooms, it supports mastery of complex decimal-to-fraction conversions through step-by-step practice.

Math
Algebra & Functions
High School
Worksheets
Ages 14–18
hard

Learning objectives

  • Convert repeating decimals into their equivalent fractional form using algebraic methods
  • Identify the repeating pattern in a decimal and express it as a geometric series
  • Simplify fractions obtained from repeating decimals to their lowest terms

How to use this worksheet

  1. Click “Download Worksheet” and sign in with Google or email to get the PDF instantly.
  2. Print at home or in class for High School; it's no-prep, with no extra materials needed.
  3. Hand it out as classwork, homework, or a quick warm-up.

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