Page:The Rhind Mathematical Papyrus, Volume I.pdf/69

2 divided by 29

Get 2 by operating on 29. ¹⁄₂₄ of 29 is 1¹⁄₆¹⁄₂₄,¹⁄₅₈ of 29 is ¹⁄₂. ¹⁄₁₇₄ of 29 is ¹⁄₆, ¹⁄₂₃₂ of 29 is ¹⁄₈.

Working out:

	1	29
\	1⁄24	11⁄61⁄24
\	\2	58	1⁄2
\	6	174	1⁄6
\	8	232	1⁄8

2 divided by 31
¹⁄₂₀ of 31 is 1 ¹⁄₂¹⁄₂₀, ¹⁄₁₂₄ of 31 is ¹⁄₄, ¹⁄₁₅₅ of 31 is ¹⁄₅.

	1	31
\	1⁄20	11⁄21⁄20
\	4	124	1⁄4
\	5	155	1⁄5.

2 divided by 33
¹⁄₂₂ of 33 is 1¹⁄₂, ¹⁄₆₆ of 33 is ¹⁄₂.

	1	33
\	2⁄3	22	11⁄2
\	2	66	1⁄2

2 divided by 35

35.	1⁄30 of 35 is 11⁄6,	1⁄42 of 35 is 2⁄31⁄6
6	7	5

2 times ¹⁄₃₅ is ¹⁄₃₀¹⁄₄₂. For ¹⁄₃₅ applied to 210 gives 6; and 2 times 6 is 12, or 7 and 5, which are ¹⁄₃₀ and ¹⁄₄₂ of 210.

	1	35
\	1⁄30	11⁄6
\	1⁄42	2⁄31⁄6

This example is explained in the Introduction, page 18. In the papyrus, following his usual practice when applying fractions to a particular number, the author writes 6, 7,and 5 under the 35, ¹⁄₂₀, and ¹⁄₄₂ of the first line.