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2. Repeating decimal - Wikipedia

   en.wikipedia.org/wiki/Repeating_decimal

   If p and q are primes other than 2 or 5, the decimal representation of the fraction ⁠ 1 / pq ⁠ repeats. An example is ⁠ 1 / 119 ⁠: 119 = 7 × 17 λ(7 × 17) = LCM(λ(7), λ(17)) = LCM(6, 16) = 48, where LCM denotes the least common multiple. The period T of ⁠ 1 / pq ⁠ is a factor of λ(pq) and it happens to be 48 in this case:

3. Fraction - Wikipedia

   en.wikipedia.org/wiki/Fraction

   In general, a common fraction is said to be a proper fraction, if the absolute value of the fraction is strictly less than one—that is, if the fraction is greater than −1 and less than 1. [ 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 ...

4. Decimal - Wikipedia

   en.wikipedia.org/wiki/Decimal

   Any such decimal fraction, i.e.: d n = 0 for n > N, may be converted to its equivalent infinite decimal expansion by replacing d N by d N − 1 and replacing all subsequent 0s by 9s (see 0.999...). In summary, every real number that is not a decimal fraction has a unique infinite decimal expansion.

5. Fixed-point arithmetic - Wikipedia

   en.wikipedia.org/wiki/Fixed-point_arithmetic

   Any binary fraction a/2 m, such as 1/16 or 17/32, can be exactly represented in fixed-point, with a power-of-two scaling factor 1/2 n with any n ≥ m. However, most decimal fractions like 0.1 or 0.123 are infinite repeating fractions in base 2. and hence cannot be represented that way.

6. Drill bit sizes - Wikipedia

   en.wikipedia.org/wiki/Drill_bit_sizes

   Below is a chart providing the decimal-fraction equivalents that are most relevant to fractional-inch drill bit sizes (that is, 0 to 1 by 64ths). (Decimal places for .25, .5, and .75 are shown to thousandths [.250, .500, .750], which is how machinists usually think about them ["two-fifty", "five hundred", "seven-fifty"]. Machinists generally ...

7. Decimal representation - Wikipedia

   en.wikipedia.org/wiki/Decimal_representation

   Also the converse is true: The decimal expansion of a rational number is either finite, or endlessly repeating. Finite decimal representations can also be seen as a special case of infinite repeating decimal representations. For example, 36 ⁄ 25 = 1.44 = 1.4400000...; the endlessly repeated sequence is the one-digit sequence "0".

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9. Decimal data type - Wikipedia

   en.wikipedia.org/wiki/Decimal_data_type

   Most decimal fractions (or most fractions in general) cannot be represented exactly as a fraction with a denominator that is a power of two. For example, the simple decimal fraction 0.3 (3 ⁄ 10) might be represented as 5404319552844595 ⁄ 18014398509481984 (0.299999999999999988897769…). This inexactness causes many problems that are ...