RULES: 1. Write the given quantity in the order of its denominations,
beginning with the highest, and supply vacant denominations with
ciphers.
2. Multiply the highest denomination by the number which will reduce it
to the next lower denomination, and add to the product the units of the
lower denomination, if there be any.
3. Proceed in the same manner until the entire quantity is reduced to
the required denomination.
EXAMPLE: Reduce 10 yards 8 feet 10 inches to inches.
WORK: SOLUTION:
Yards Feet Inches
10 8 10 10 yards = 10 × 3 feet = 30 feet. 30 feet and 8
3 feet are 38 feet.
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38 38 feet = 38 × 12 inches, or 456 inches. 456
12 inches + 10 inches = 466 inches.
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456
10
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466
Note.--To prove the above work, use reduction ascending, beginning with
the result.