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.
Basic Concepts: Converting among decimals, fractions, and percents, Percents, fractions, and decimals
Related Concepts: Percent of a number, Adding and multiplying percents

Lessons

  • Introduction
    How to convert repreating decimals to fractions?
    a)
    The entire decimal repeats
    ∙\bullet E.g. 0.1‾0.\overline1, 0.3‾0.\overline3, 7.2‾7.\overline2

    b)
    Only a portion of the decimal repeats
    ∙\bullet E.g. 0.01‾0.0\overline1, 4.16‾4.1\overline6, 4.003‾6‾4.00\overline3\overline6

  • 1.
    Converting repeating decimals to fractions
    a)
    0.38‾ \overline{38}

    b)
    3.96‾ \overline{6}

    c)
    -1.2560‾ \overline{60}

Do better in math today
Get Started Now
1.
Number System and Radicals
1.1
Understanding the number systems
1.2
Prime factorisation
1.3
Greatest Common Factors (GCF)
1.4
Least Common Multiple (LCM)
1.5
Rational vs. Irrational numbers
1.6
Converting repeating decimals to fractions
Transition Year Maths
Don't just watch, practice makes perfect