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[14] [15] It is said to be an improper fraction, or sometimes top-heavy fraction, [16] if the absolute value of the fraction is greater than or equal to 1. Examples of proper fractions are 2/3, −3/4, and 4/9, whereas examples of improper fractions are 9/4, −4/3, and 3/3.
In the oil industry, mud weight is the density of the drilling fluid and is normally measured in pounds per gallon (lb/gal) (ppg) or pound cubic feet (pcf) . [1] In the field it is measured using a mud scale or mud balance. Mud can weigh up to 22 or 23 ppg. A gallon of water typically weighs 8.33 pounds (or 7.48 ppg).
This form of fraction remained in use for centuries. [27] [30] Positional decimal fractions appear for the first time in a book by the Arab mathematician Abu'l-Hasan al-Uqlidisi written in the 10th century. [31] The Jewish mathematician Immanuel Bonfils used decimal fractions around 1350 but did not develop any notation to represent them. [32]
1.51% (1 in 66) – (1 foot (0.3 m) per 1 chain (20 m)) New South Wales Government Railways, Australia, part of Main South line. 1.25% (1 in 80) – Wellington Bank, Somerset , UK 1.25% (1 in 80) – Rudgwick , UK ( West Sussex ) platform before regrading – too steep if a train is not provided with continuous brakes .
Hexadecimal (also known as base-16 or simply hex) is a positional numeral system that represents numbers using a radix (base) of sixteen. Unlike the decimal system representing numbers using ten symbols, hexadecimal uses sixteen distinct symbols, most often the symbols "0"–"9" to represent values 0 to 9 and "A"–"F" to represent values from ten to fifteen.
To convert a decimal fraction to octal, multiply by 8; the integer part of the result is the first digit of the octal fraction. ... 1 0 ----- 6 1.1 8 +1 4 2 ----- 7 5 ...
1/81 (/) is correctly expressed as 1.012345679 in the preceding section, "Other mathematical curiosities", so there seems to be no valid reason to allow "about" 1.0123456789 is the "Decimal coincidences" section.
That is, for every prime number p greater than 3, one has the modular arithmetic relations that either p ≡ 1 or 5 (mod 6) (that is, 6 divides either p − 1 or p − 5); the final digit is a 1 or a 5. This is proved by contradiction.