All fractions for 10 resistors are: 95/106, 101/109, 98/103, 97/98, 103/101, 97/86, 110/91, 103/83, 130/101, 103/80, 115/89, 106/77, 109/77, 98/67, 101/67.
The corresponding networks are shown below, with -(always 1) and +(maximum node number) indicating the nodes where the voltage is applied. Edges marked ==, ||, //, or \\, have 2 resistors in parallel.
.
95/106 101/109 98/103 97/98 103/101
-1=======2 -1-------2 -1-------2 -1-------2 -1-------2
|\ /| |\ /|| |\ /| |\ /| |\ /|
| \ / | | \ / || | \ / | | \ / | | \ / |
| \ / | | \ / || | \ / | | \ / | | \ / |
| 4 | | 4 || | 4 | | 6 4 4 6 |
| / \ | | / \ || | //\ | | / \ | | / \ |
| / +6 | | / +6 || | // +6 | | / +7 | | / +7 |
|/ \| |/ \|| |// \| |/ \| |/ \|
3-------5 3-------5 3-------5 3-------5 3-------5
.
97/86 110/91 103/83 130/101 103/80
-1=======2 -1 -1-------2 -1-----2 -1=======2
| /| / \ | /|| | /|\ | /|
| / | / \ | 4 || | | | | | 4 |
| / | 2-----3 | / || | | | | | /| |
| 6 | ||\ / \ | 6 || | 4-6 | | / 6 |
| / \ | || \4/ | | / \ || | / | | | / | |
| 4 +7 | || \ | | / +7 || | / +7 | | / +7 |
|/ \| \\ +6--5 |/ \|| |/ \| |/ \|
3-------5 \\===// 3-------5 3-------5 3-------5
.
115/89 106/77 109/77 98/67 101/67
-1 -1-------2 -1-------2 -1-------2 -1-------2
/ \ | /|| | //| | /| | /|
/ \ | 4 || | 4 | | 6 | | 6 |
2-----3 | /| || | /| | | /| | | /| |
|\ / \ | / 6 || | / 6 | | / 7 | | / 7 4
| \6/ | | / | || | / | | | 4 | | | / | |
| \ | | / +7 || | / +7 | | / +8 | | / +8 |
| +7--5 |/ \|| |/ \| |/ \| |/ \|
4------/ 3-------5 3-------5 3-------5 3-------5
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