2÷35]
SECTION I—DIVISION OF 2 BY ODD NUMBERS
53
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.