A set of wrenches with metric unit sizes consists of those listed in the next chart. Convert each size to a corresponding U.S. customary unit wrench. In each case, find a U.S. customary size rounded to the nearest 1/32 of an inch.
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To convert metric unit sizes to the corresponding U.S. customary unit wrench sizes, we need to use conversion factors. The conversion factor between millimeters (mm) and inches is 1 mm = 0.03937 inches.
Let's start by converting each metric unit size to inches:
1. Metric Size: 6 mm
Conversion: 6 mm * 0.03937 inches/mm = 0.2362 inches
U.S. Customary Size: 0.2362 inches (rounding to the nearest 1/32 inch: 1/4 inches)
2. Metric Size: 7 mm
Conversion: 7 mm * 0.03937 inches/mm = 0.2756 inches
U.S. Customary Size: 0.2756 inches (rounding to the nearest 1/32 inch: 9/32 inches)
3. Metric Size: 8 mm
Conversion: 8 mm * 0.03937 inches/mm = 0.3149 inches
U.S. Customary Size: 0.3149 inches (rounding to the nearest 1/32 inch: 5/16 inches)
4. Metric Size: 9 mm
Conversion: 9 mm * 0.03937 inches/mm = 0.3543 inches
U.S. Customary Size: 0.3543 inches (rounding to the nearest 1/32 inch: 11/32 inches)
5. Metric Size: 10 mm
Conversion: 10 mm * 0.03937 inches/mm = 0.3937 inches
U.S. Customary Size: 0.3937 inches (rounding to the nearest 1/32 inch: 13/32 inches)
6. Metric Size: 11 mm
Conversion: 11 mm * 0.03937 inches/mm = 0.4331 inches
U.S. Customary Size: 0.4331 inches (rounding to the nearest 1/32 inch: 7/16 inches)
7. Metric Size: 12 mm
Conversion: 12 mm * 0.03937 inches/mm = 0.4724 inches
U.S. Customary Size: 0.4724 inches (rounding to the nearest 1/32 inch: 15/32 inches)
8. Metric Size: 13 mm
Conversion: 13 mm * 0.03937 inches/mm = 0.5118 inches
U.S. Customary Size: 0.5118 inches (rounding to the nearest 1/32 inch: 17/32 inches)
9. Metric Size: 14 mm
Conversion: 14 mm * 0.03937 inches/mm = 0.5512 inches
U.S. Customary Size: 0.5512 inches (rounding to the nearest 1/32 inch: 35/64 inches)
10. Metric Size: 15 mm
Conversion: 15 mm * 0.03937 inches/mm = 0.5906 inches
U.S. Customary Size: 0.5906 inches (rounding to the nearest 1/32 inch: 19/32 inches)
Please note that rounding to the nearest 1/32 inch introduces fractions, as wrench sizes are not always available in whole numbers by default in U.S. customary units.