/sci/ - Science & Math

The first 21 problems, problems 1-20, 7B are simple divisions and multiplications, which will probably have been reckoned in terms of the above "1-9/10 TABLE" once I finish going through them. So let me first simply give the modern version of this much smaller table, which comes right before the problems begin. Arbitrarily chosen Egyptian fractions!

[math]

\displaystyle \frac{1}{10} = \frac{1}{10}, \\
\displaystyle \frac{2}{10} = \frac{1}{5}, \\
\displaystyle \frac{3}{10} = \frac{1}{5} + \frac{1}{10}, \\
\displaystyle \frac{4}{10} = \frac{1}{3} + \frac{1}{15}, \\
\displaystyle \frac{5}{10} = \frac{1}{2}, \\
\displaystyle \frac{6}{10} = \frac{1}{2} + \frac{1}{10}, \\
\displaystyle \frac{7}{10} = \frac{2}{3} + \frac{1}{30}, \\
\displaystyle \frac{8}{10} = \frac{2}{3} + \frac{1}{10} + \frac{1}{30}, \\
\displaystyle \frac{9}{10} = \frac{2}{3} + \frac{1}{5} + \frac{1}{30}. \\

[/math]

I should also mention that for whatever reason, the Egyptians/Ahmose allowed an exception to this "get everything into Egyptian fractions" condition: /he allows of the fraction [math] \frac{2}{3} [/math] ./ And it is used above.

For this very simple fragment, I did allow myself to check the original, and I rapidly made sense of the glyphs. Kinda neat.