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Additional precision can be provided using decimal fractions of an arcsecond. Maritime charts are marked in degrees and decimal minutes to facilitate measurement; 1 minute of latitude is 1 nautical mile. The example above would be given as 40° 11.25′ (commonly written as 11′25 or 11′.25). [13]
In Ancient Rome, long before the existence of the decimal system, computations were often made in fractions in the multiples of 1 / 100 . For example, Augustus levied a tax of 1 / 100 on goods sold at auction known as centesima rerum venalium. Computation with these fractions was equivalent to computing percentages.
A larger number indicates higher or steeper degree of "tilt". Often slope is calculated as a ratio of "rise" to "run", or as a fraction ("rise over run") in which run is the horizontal distance (not the distance along the slope) and rise is the vertical distance.
This article gives a list of conversion factors for several physical quantities. ... = 373.15 − [°De] × 2 ⁄ 3: degree Fahrenheit °F [°F] ≡ [°C] ...
Convert decimal degrees into degrees, minutes, seconds. Archived 2012-11-07 at the Wayback Machine – info about decimal to sexagesimal conversion. Convert decimal degrees into degrees, minutes, seconds; Distance calculation based on latitude and longitude – JavaScript version; 16th Century Latitude Survey
In order to convert a rational number represented as a fraction into decimal form, one may use long division. For example, consider the rational number 5 / 74 : 0.0 675 74 ) 5.00000 4.44 560 518 420 370 500 etc. Observe that at each step we have a remainder; the successive remainders displayed above are 56, 42, 50.
An example of a fraction that cannot be represented by a decimal expression (with a finite number of digits) is 1 / 3 , 3 not being a power of 10. More generally, a decimal with n digits after the separator (a point or comma) represents the fraction with denominator 10 n , whose numerator is the integer obtained by removing the separator.
The value 57.15% is very close to the fraction 4 ⁄ 7 ≈ 0.5714. This led to the approximation that 100-proof spirit has an ABV of 4 ⁄ 7. From this, it follows that to convert the ABV expressed as a percentage to degrees proof, it is only necessary to multiply the ABV by 7 ⁄ 4.