Sexagesimal Notation/Examples/11,22,30
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Example of Sexagesimal Notation
- $11, 22, 30$ in sexagesimal is $11 \frac 3 8$ expressed as a mixed fraction.
Proof
| \(\ds \sqbrk {11, 22, 30}_{60}\) | \(=\) | \(\ds 11 + \dfrac {22} {60} + \dfrac {30} {60 \times 60}\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 11 + \dfrac {11} {30} + \dfrac 1 {120}\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 11 + \dfrac {44 + 1} {120}\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 11 + \dfrac {45} {120}\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 11 + \dfrac 3 8\) |
$\blacksquare$
Sources
- 1992: David Wells: Curious and Interesting Puzzles ... (previous) ... (next): The Babylonians