Skip to main content
\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)
Mathematics LibreTexts

7.2: Egyptian Fractions

[ "stage:draft", "article:topic", "Egyptian Fractions", "license:ccbyncsa", "showtoc:yes" ]
  • Page ID
    13632
  • \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)

    \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)

    The Egyptians used a pictorial number system, with different symbols for every power of 10 to 1 000 000.

    Example \(\PageIndex{1}\):

    Egyptian fractions can only have 1 as the numerator: ¼, 1/16, 1/137 etc. As a result, any fraction with numerator > 1 must be written as a combination of some set of Egyptian fractions: 

     

    • 2/4 = ½
    • 5/16 = ¼ + 1/16

     

     

    Example \(\PageIndex{2}\):

    What if there were only 4 pizzas to be split amongst 8 friends?

    5/8 = 1/2 + 1/8

     

    Exercise \(\PageIndex{1}\)

    Add exercises text here. For the automatic number to work, you need to add the "AutoNum" template (preferably at the end) to the page.

    Answer

    Add answer text here and it will automatically be hidden if you have a "AutoNum" template active on the page.

     

    SOURCE