2÷17]
SECTION I—DIVISION OF 2 BY ODD NUMBERS
51
2 divided by 11
1⁄6 of 11 is 1 2⁄3 1⁄6, 1⁄66 of 11 is 1⁄6.
| 1 | 11 | |||||
| 2⁄3 | 7 1⁄3 | 1 | 11 | |||
| 1⁄3 | 3 2⁄3 | \ | 2 | 22 | ||
| \ | 1⁄6 | 1 2⁄3 1⁄6 | \ | 4 | 44 | |
| Total | 6 | 66 | 1⁄6. | |||
2 divided by 13
1⁄8 of 13 is 1 1⁄2 1⁄8, 1⁄52 of 13 is 1⁄4, 1⁄104 of 13 is 1⁄8.
| 1 | 13 | ||
| 1⁄2 | 6 1⁄2 | ||
| 1⁄4 | 3 1⁄4 | ||
| \ | 1⁄8 | 1 1⁄2 1⁄8 | |
| \ | 4 | 52 | 1⁄4 |
| \ | 8 | 104 | 1⁄8. |
2 divided by 15
1⁄10 of 15 is 1 1⁄2, 1⁄30 of 15 is 1⁄2.
| 1 | 15 | |
| \ | 1⁄10 | 1 1⁄2 |
| \ | 1⁄30 | 1⁄2. |
2 divided 17
Get 2 by operating on 17. 1⁄12 of 17 is 1 1⁄3 1⁄12, 1⁄51 of 17 is 1⁄3, 1⁄68 of 17 is 1⁄4.
Working out:
| 1 | 7 | |||||
| 2⁄3 | 11 1⁄3 | |||||
| 1⁄3 | 5 2⁄3 | \ | 1 | 17 | ||
| 1⁄6 | 2 1⁄2 1⁄3 | \ | 2 | 34 | ||
| \ | 1⁄12 | 1 1⁄4 1⁄6 | Total | 3 | 51 | 1⁄3 |
| Remainder | 1⁄3 1⁄4 | 4 | 68 | 1⁄4. | ||
In the fourth line of the multiplication the author might have said 2 2⁄3 1⁄6, and then the last line would have been 1 1⁄3 1⁄12, and he uses this form, in giving his answer above, for the part that 1⁄12 of 17 makes towards 2. Somewhat similarly in the case of 23 he changes 1 1⁄2 1⁄4 1⁄6 to 1 2⁄3 1⁄4.
