Page:The Rhind Mathematical Papyrus, Volume I.pdf/77

Problem I
Example of dividing 1 loaf among 10 men.

Each man receives ¹⁄₁₀.

Proof. Multiply ¹⁄₁₀ by 10.
Do it thus:

	1	1⁄10
\	2	1⁄5
	4	1⁄31⁄15
\	8	2⁄31⁄101⁄30

Total 1 loaf, which is correct.

Problem 2
Divide 2 loaves among 10 men.

Each man receives ¹⁄₅.

Proof. Multiply ¹⁄₅ by 10.
Do it thus:

	1	1⁄5
\	2	1⁄31⁄15
	4	2⁄31⁄101⁄30
\	8	11⁄31⁄51⁄15

Total 2 loaves, which is correct.

Problem 3
Divide 6 loaves among 10 men.

Each man receives ¹⁄₂¹⁄₁₀.

Proof. Multiply ¹⁄₂¹⁄₁₀ by 10.
Do it thus.

	1	1⁄21⁄10
\	2	11⁄5
	4	21⁄31⁄15
\	8	2⁄31⁄101⁄30

Total 6 loaves, which is correct.

Problem 4
Divide 7 loaves among 10 men.

Each man receives ²⁄₃¹⁄₃₀

Proof. Multiply ²⁄₃ by 10; the result is 7.
Do it thus:

	1	2⁄31⁄30
\	2	11⁄31⁄15
	4	22⁄31⁄101⁄30
\	8	51⁄21⁄10

Total 7 loaves, which is correct.