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Conversely the period of the repeating decimal of a fraction c / d will be (at most) the smallest number n such that 10 n − 1 is divisible by d. For example, the fraction 2 / 7 has d = 7, and the smallest k that makes 10 k − 1 divisible by 7 is k = 6, because 999999 = 7 × 142857. The period of the fraction 2 / 7 is ...
Approximating an irrational number by a fraction π: 22/7 1-digit-denominator Approximating a rational number by a fraction with smaller denominator 399 / 941 3 / 7 1-digit-denominator Approximating a fraction by a fractional decimal number: 5 / 3 1.6667: 4 decimal places: Approximating a fractional decimal number by one with fewer digits 2.1784
Consider a real number with an integer and a fraction part such as 12.375; Convert and normalize the integer part into binary; Convert the fraction part using the following technique as shown here; Add the two results and adjust them to produce a proper final conversion; Conversion of the fractional part: Consider 0.375, the fractional part of ...
And the other three binary-expansion repeating sequences give the 3-cycle 110110110... → 101101101... → 011011011... → 110110110.... Either of these 3-cycles can be converted to fraction form: for example, the first-given 3-cycle can be written as 1 / 7 → 2 / 7 → 4 / 7 → 1 / 7 .
The base-2 numeral system is a positional notation with a radix of 2.Each digit is referred to as a bit, or binary digit.Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices, as a preferred system of use, over various other human techniques of communication, because ...
Chart of milk products and production relationships, including milk. The fat content of milk is the proportion of milk, by weight, [1]: 266 made up by butterfat.The fat content, particularly of cow's milk, is modified to make a variety of products.
The Lerner index is defined by: = where P is the market price set by the firm and MC is the firm's marginal cost.The index ranges from 0 to 1. A perfectly competitive firm charges P = MC, L = 0; such a firm has no market power.
From 1979 to 2005, the number of deaths per year decreased 15% while the number of deaths per capita decreased by 35%. The 32,479 traffic fatalities in 2011 were the lowest in 62 years, since 1949. [5] For 2016, the NHTSA reported 37,461 people killed in 34,436 fatal motor vehicle crashes, an average of 102 per day. [6]