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1.1: Understanding Fractions

  • Page ID
    7081
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    Fractions are portions of whole numbers consisting of a numerator (or the top number of the fraction) and the denominator (or the bottom number of the fraction.) They are numbers that represent parts of a whole.

    clipboard_e03be5acbf5d1ff8791f3630c21038094.png
    Figure \(\PageIndex{1}\): Fraction
    Cake with fractions labeled
    Figure \(\PageIndex{2}\): Cake Fractions by Acdx is in the public domain
    clipboard_e9f753bf530b3d4e5e926417cdca0d6ba.png
    Figure \(\PageIndex{3}\): Circle with Proportions by COC OER is licensed under CC BY 4.0

    Fractions are broken down into three classifications:

    • Proper - \(\dfrac{3}{4}\) - Where the numerator is smaller than the denominator
    • Improper - \(\dfrac{5}{2}\) - Where the numerator is larger than the denominator
    • Mixed - \(1\dfrac{6}{7}\) - Where a whole number precedes the fraction

    Exercise 1.1

    Identify the following as a proper fraction, improper fraction, or mixed number. Identify the correct word.

    \(\dfrac{1}{2}\)

    Proper

    Improper

    Mixed

    \(\dfrac{10}{12}\)

    Proper

    Improper

    Mixed

    3. \(10 \dfrac{1}{2}\) Proper Improper Mixed

    \(\dfrac{11}{3}\)

    Proper

    Improper

    Mixed

    \(\dfrac{101}{13}\)

    Proper

    Improper

    Mixed

    \(130 \dfrac{10}{13}\)

    Proper

    Improper

    Mixed

    \(\dfrac{1,000}{1,111}\)

    Proper

    Improper

    Mixed

    \(\dfrac{12}{7}\)

    Proper

    Improper

    Mixed

    \(\dfrac{1}{7}\)

    Proper

    Improper

    Mixed

    \(13 \dfrac{1}{7}\)

    Proper

    Improper

    Mixed


    1.1: Understanding Fractions is shared under a CC BY license and was authored, remixed, and/or curated by LibreTexts.

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