This section is from the book "The American House Carpenter", by R. G. Hatfield. Also available from Amazon: The American House Carpenter.

To reduce a fraction to its equivalent decimal. Rule. - Divide the numerator by the denominator, annexing cyphers as required.

Example. - What is the decimal of a foot equivalent to three inches? 3 inches is 3/12 of a foot, therefore:

3/12 . . . 12)3.00

.25 Ans.

Another example. - What is the equivalent decimal of 7/8 of an inch?

7/8 . . . 8)7.000

.875 Ans.

To reduce a compound fraction to its equivalent decimal. Rule. - In accordance with the preceding rule, reduce each fraction, commencing at the lowest, to the decimal of the next higher denomination, to which add the numerator of the next higher fraction, and reduce the sum to the decimal of the next higher denomination, and so proceed to the last; and the final product will be the answer.

Example. - What is the decimal of a foot equivalent to five inches, 8/6 and 1/16 of an inch?

The fractions in this case are, 1/2 of an eighth, 3/8 of an inch, and 5/12 of a foot, therefore:

1/2................ | (2) 1.0 | |

.5 | ||

3. | eighths. | |

3/8........... | (8) 3. 5000 | |

.4375 | ||

5. | inches. | |

5/12.............. | (12) 5.437500 | |

. 453125 Ans. |

The process may be condensed, thus: write the numerators of the given fractions, from the least to the greatest, under each other, and place each denominator to the left of its numerator, thus:

1/2.................. | 2 | 1.0 |

3/8...... | 8 | 3.5000 |

5/12................. | 12 | 5.437500 |

.453125 Ans. |

To reduce a decimal to its equivalent in terms of lower denominations. Rule. - Multiply the given decimal by the number of parts in the next less denomination, and point off from the product as many figures to the right hand as there are in the given decimal; then multiply the figures pointed off by the number of parts in the next lower denomination, and point off as before, and so proceed to the end; then the several figures pointed off to the left will be the answer.

Example. - What is the expression in inches of 0.390625 feet?

Feet 0.390625

12 inches in a foot.

Inches 4.687500

8 eighths in an inch.

Eighths 5. 5000

2 sixteenths in an eighth.

Sixteenth 1.0

Ans., 4 inches, 5/8 and 1/16.

Another example. - What is the expression, in fractions of an inch of

0.6875 inches?

Inches 0.6875

8 eignths in an inch.

Eighths 5.5000

2 sixteenths in an eighth.

Sixteenth 1.0

Ans., 5/8 and 1/16.

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