This section is from the book "The English And American Mechanic", by B. Frank Van Cleve. Also available from Amazon: The English And American Mechanic.
[The Inch, or Gallon, being divided into 82 parts.] [In multiplying decimals it is usual to drop all but the first two or three figures.]
Decimals. | Gallon, or Inch. | Gills. | 1 Pints. | Quarts. |
•03125 | 1-32 | 1 | ¼ | 1/8 |
.625 | 1-16 | 2 | 4 | ¼ |
•09375 | 3-32 | 3 | ¾ | 3/8 |
.125 | 1-8 | 4 | 1 | ½ |
.15625 | 5-32 | 5 | 1¼ | 5/8 |
•1875 | 3-16 | 6 | 1½ | ¾ |
•21875 | 7-32 | 7 | 1¾ | 7/8 |
•25 | 1-4 | 8 | 2 | 1 |
•28125 | 9-32 | 9 | 2¼ | 1 1/8 |
•3125 | 5-16 | 10 | 2½ | 1 1/4 |
•34375 | 11-32 | 11 | 31 | 1 3/8 |
Decimals. | Gallon, or Inch. | Gills | Pints. | Quarts. |
•375 | 3-8 | 12 | 3 | 1½ |
.40625 | 13-32 | 13 | 3¼ | l 5/8 |
•4375 | 7-16 | 14 | 3½ | 1¾ |
•46875 | 15-32 | 15 | 3| | 1 7/8 |
•5 | 1-2 | 16 | 4 | 2 |
•53125 | 17-32 | 17 | 4¼ | 2 1/8 |
•5625 | 9-16 | 18 | 4½ | 2¼ |
•59375 | 19-32 | 19 | 4¾ | 2 3/8 |
•625 | 5-8 | 20 | 5 | 2½ |
.65625 | 21-32 | 21 | 5¼ | 2 5/8 |
•6875 | 11-16 | 22 | 5½ | 2 ¾ |
Decimals. | Gallon, or Inch. | Gills | Pints. | Quarts. |
•71875 | 23-32 | 33 | 5¾ | 2 7/8 |
•75 | 3-4 | 24 | 6 | 3 |
.78125 | 25-32 | 25 | 6¼ | 3 1/8 |
.8125 | 13-16 | 26 | 6½ | 3¼ |
.84375 | 27-32 | 27 | 6¾ | 3 3/8 |
.875 | 7-8 | 38 | 7 | 3½ |
.90625 | 29-32 | 29 | 7¼ | 3 5/8 |
.9375 | 15-16 | 30 | 7½ | 3¾ |
.96875 | 31-32 | 31 | 7¾ | 3 7/8 |
1.000 | 1 | 32 | 8 | 4 |
Required the gallons in any Cylindrical Vessel. Suppose a vessel 9½ inches deep, 9 inches diameter, and contents 2.6163, that is, 2 gallons and 61 hundredth parts of a gallon; now to ascertain this decimal of a gallon, refer to the above Table for the decimal that is nearest, which is .625, opposite to which is |ths of a gallon, or 20 gills, or 5 pints, or 2½ quarts, consequently the vessel contains 2 gallons and 5 pints.
To find what part of an inch the decimal .708 is. Refer to the above Table for the decimal that is nearest, which is •71875, opposite to which is 23-32, or nearly ¾ths of an inch.
 
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