Decimals (Repeating) and Conversion to Fractions - Practice

This math unit focuses on converting repeating decimals into fractions, progressing from simple scenarios to more complex ones involving both non-repeating and repeating segments. Initially, students are introduced to converting basic repeating decimals with a single repeating digit into both non-simplified and simplified fractional forms. As the unit progresses, the complexity increases with decimals that include two repeating digits, requiring students to learn how to set up and simplify equations to express these numbers as fractions. The unit further advances by incorporating decimals with an initial non-repeating part followed by one or two repeating digits. Throughout the unit, the emphasis is on understanding the relationship between decimal and fractional representations, improving algebraic manipulation skills, and enhancing numerical fluency. Students are guided through the processes of forming algebraic equations, manipulating these equations, and simplifying the results, reinforcing key mathematical concepts and problem-solving abilities.Skills you will learn include:

  • Converting repeating decimals to fractions
  • Multi-digit repeating patterns
  • Simplifying complex fractions
  • Non-repeating and repeating digit combinations
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Decimals (Repeating) and Conversion to Fractions - Practice


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