Converting repeating decimals to fractions

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  1. How to convert repreating decimals to fractions?
  2. The entire decimal repeats
    \bullet E.g. 0.10.\overline1, 0.30.\overline3, 7.27.\overline2
  3. Only a portion of the decimal repeats
    \bullet E.g. 0.010.0\overline1, 4.164.1\overline6, 4.00364.00\overline3\overline6
  1. Converting repeating decimals to fractions
    1. 0.38 \overline{38}
    2. 3.96 \overline{6}
    3. -1.2560 \overline{60}
Topic Notes
A repeating decimal keeps repeating itself endlessly. Yet, no worries, you don't need to have unlimited paper to write it down. We can convert it into a fraction for a clearer presentation. Let's learn how in this session.