Sect. I.

Problem V.

A Decimal Fraction being given, to reduce the same into the known Parts of the Integer.

1. If the Decimal be part of a Pound Sterling Set 1 upon B, to the Number of Shillings, Pence or Farthings contained in a Pound, upon A; then seek the Decimal given upon B, (towards the left hand) and against it you will have the Shillings, Pence or Farthings respectively contain’d in the Decimal.

    Example: Suppose .7625 were to be reduced into Shillings.

    Set 1 upon B, to 20 (the Number of Shillings in a Pound) upon A, then against .7625 upon B, (towards the left hand) is 15.25, that is 15 s and .25 parts of a Shilling, which is equal to 3 d.

    2. To reduce the Decimal given into Pence: Set 1 upon B, to 240 (the Pence in a Pound) upon A, then against .7625 toward the left hand upon B, is 183, the Pence contained in .7625.

    3. But if the Decimal aforesaid were to be reduced into Farthings,

    Set 1 upon A, to 960 (the Farthings in a Pound) upon B, and then against .7625 upon A, is 732; and so many Farthings are contained in .7625.

    Again, suppose .7625 were a Decimal of an Ale-Barrel, to be reduced into Gallons and Pints.

    Set 1 upon A, to 32 (the Gallons of an Ale-Barrel) upon B, then against .7625 upon A, is 24.4, that is 24 Gallons and 4 tenth parts of a Gallon; to reduce this .4 into Pints; set 1 upon A, to 8 upon B, then against 4 upon A, is 3.2 Pints: So .7625 of an Ale-barrel is equal to 24 Gallons, 3 Pints and 2 tenth parts of a Pint.

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This page was last updated on 29 March 2000.