Page:The Rhind Mathematical Papyrus, Volume I.pdf/70

2 divided by 37
¹⁄₂₄ of 37 is 1¹⁄₂¹⁄₂₄, ¹⁄₁₁₁ of 37 is ¹⁄₃,¹⁄₂₉₆ of 37 is ¹⁄₈

	1	37
	2⁄3	242⁄3	\	1	37
	1⁄3	121⁄3	\	2	74
	1⁄6	61⁄6	Total	3	111	1⁄3
\	1⁄12	31⁄12		Remainder	1⁄8
\	1⁄24	11⁄21⁄24		1	37
Remainder		1⁄31⁄8		2	74
				4	148
				8	296	1⁄8

2 divded by 39
¹⁄₂₆ of 39 is 1¹⁄₂, ¹⁄₇₈ of 39 is ¹⁄₂.

	1	39
\	2⁄3	26	11⁄2
\	1⁄2	78	1⁄2.

}

2 divded by 41
Get 2 by operating on 41. ¹⁄₂₄ of 41 is 1²⁄₃¹⁄₂₄,¹⁄₂₄₆ of 41 is ¹⁄₆, ¹⁄₃₂₈ of 41 is ¹⁄₈ of 41 is ¹⁄₈.

Working out:

	1	41
	2⁄3	271⁄3		41
	1⁄3	132⁄3	\	82
	1⁄6	62⁄31⁄6	\	4	164
	1⁄12	31⁄31⁄12	Total	6	246	1⁄6
\	1⁄24	12⁄31⁄24		8	328	1⁄8
Remainder		1⁄61⁄8

2 divided by 43
¹⁄₄₂ of 43 is 1¹⁄₄₂, ¹⁄₈₆ of 43 is ¹⁄₂, ¹⁄₁₂₉ of 43 is ¹⁄₃. ¹⁄₃₀₁ of 43 is ¹⁄₇.

	1	43
Find \	1⁄42	11⁄42
\	2	86	1⁄2
\	3	129	1⁄3
\	7	301	1⁄7