Page:The Rhind Mathematical Papyrus, Volume I.pdf/123

Problem 70
7 ¹⁄₂¹⁄₄¹⁄₈ hekat of meal it made into 100 loaves of bread. What is the amount of meal in each loaf and what i: the pefsu?

Multiply 7¹⁄₂¹⁄₄¹⁄₈ so as to get 100.

	1	71⁄21⁄41⁄8
	2	15	1⁄21⁄4
\4	311⁄2
\	8	63
\	2⁄3	51⁄4
Total		991⁄21⁄4
Remainder		1⁄4
	1⁄63	1⁄8

Double the fraction for ¹⁄₄

\

1⁄421⁄126

1⁄4

The pefsu is 12²⁄₃¹⁄₄₂¹⁄₁₂₆

Proof.

\	1	122⁄31⁄421⁄126
\	2	251⁄31⁄211⁄63
\	4	502⁄31⁄141⁄211⁄126
\	1⁄2	61⁄31⁄841⁄252
\	1⁄4	31⁄61⁄1681⁄504
\	1⁄8	11⁄21⁄121⁄3361⁄1008
Total		100.

7¹⁄₂¹⁄₄¹⁄₈ hekat make 2520 ro, for

	1	320
	2	640
	4	1280
	1⁄2	160
	1⁄4	80
	1⁄8	40
Total		2520.

Therefore multiply 100 so as to get 2520.

	1	100
	10	1000
\	20	2000
\	5	500
\	1⁄5	20
Total	251⁄5.