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CHAPTER I—EGYPTIAN ARITHMETIC [12
Problem 12
Multiply 1⁄14 by 1⁄21⁄4
| 1 | 1⁄14 | |
| 1⁄2 | 1⁄28 | |
| 1⁄4 | 1⁄56 | |
| Total | 1⁄8 |
Problem 13
Multiply 1⁄161⁄112 by 11⁄21⁄4
| 1 | 1⁄161⁄112 | as | parts | of | 28 | these | are | 11⁄21⁄4 | and | 1⁄4 | |
| 1⁄2 | 1⁄321⁄224 | " | " | " | " | " | " | 1⁄21⁄41⁄8 | " | 1⁄8 | |
| 1⁄4 | 1⁄641⁄448 | " | " | " | " | " | " | 1⁄41⁄81⁄16 | " | 1⁄16 | |
| Total | 1⁄8since as a part of 28 this is | 31⁄2. | |||||||||
Problem 14
Multiply 1⁄28 by 11⁄21⁄4.
| 1 | 1⁄28 | as | a | part | of | 28 | this | is | 1 | |||
| 1⁄2 | 1⁄56 | " | " | " | " | " | " | " | 1⁄2 | |||
| 1⁄4 | 1⁄112 | " | " | " | " | " | " | " | 1⁄4 | |||
| Total | 1⁄16 | since | " | " | " | " | " | " | " | 11⁄21⁄4. |
Problem 15
Multiply 1⁄32,1⁄244 by 1⁄21⁄4.
| 1 | 1⁄321⁄224 | as | parts | of | 28 | these | are | 1⁄21⁄41⁄8 | and | 1⁄8 | |||||||||
| 1⁄2 | 1⁄641⁄448 | " | " | " | " | " | " | 1⁄41⁄81⁄16 | " | 1⁄16 | |||||||||
| 1⁄4 | 1⁄1281⁄896 | " | " | " | " | " | " | 1⁄81⁄161⁄32 | " | 1⁄32 | |||||||||
| Total | 1⁄16 since as a part of 28 this is | 11⁄21⁄4. | |||||||||||||||||
There are several mistakes in these multiplications in the original, and at the end of Problem 15 the author puts a sign that stands for the word "error." See notes to the Literal Translation.
Problem 16
Multiply 1⁄2 by 12⁄31⁄3
| 1 | 1⁄2 | |
| 2⁄3 | 1⁄3 | |
| 1⁄3 | 1⁄6 | |
| Total | 1. |
