Converting repeating decimals to fractions

Converting repeating decimals to fractions

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.

Lessons

  • Introduction
    How to convert repreating decimals to fractions?
    a)
    The entire decimal repeats
    \bullet E.g. 0.10.\overline1, 0.30.\overline3, 7.27.\overline2

    b)
    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
    a)
    0.38 \overline{38}

    b)
    3.96 \overline{6}

    c)
    -1.2560 \overline{60}