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2. Ratio - Wikipedia

   en.wikipedia.org/wiki/Ratio

   Ratio. In mathematics, a ratio (/ ˈreɪʃ (i) oʊ /) shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the ratio of lemons to oranges is 6:8 (or 3:4) and ...

3. Continued fraction (non-simple) - Wikipedia

   en.wikipedia.org/wiki/Continued_fraction...

   The same ⁠ 1 / μ ⁠ = 3 + √ 8 (the silver ratio squared) also is observed in the unfolded general continued fractions of both the natural logarithm of 2 and the n th root of 2 (which works for any integer n > 1) if calculated using 2 = 1 + 1.

4. Fraction - Wikipedia

   en.wikipedia.org/wiki/Fraction

   A simple fraction (also known as a common fraction or vulgar fraction, where vulgar is Latin for "common") is a rational number written as a / b or ⁠ ⁠, where a and b are both integers. [9] As with other fractions, the denominator (b) cannot be zero. Examples include ⁠ 1 2 ⁠, − ⁠ 8 5 ⁠, ⁠ −8 5 ⁠, and ⁠ 8 −5 ⁠.

5. Unit fraction - Wikipedia

   en.wikipedia.org/wiki/Unit_fraction

   Slices of approximately 1/8 of a pizza. A unit fraction is a positive fraction with one as its numerator, 1/ n.It is the multiplicative inverse (reciprocal) of the denominator of the fraction, which must be a positive natural number.

6. One half - Wikipedia

   en.wikipedia.org/wiki/One_half

   One half is the irreducible fraction resulting from dividing one (1) by two (2), or the fraction resulting from dividing any number by its double. It often appears in mathematical equations, recipes, measurements, etc.

7. Farey sequence - Wikipedia

   en.wikipedia.org/wiki/Farey_sequence

   In mathematics, the Farey sequence of order n is the sequence of completely reduced fractions, either between 0 and 1, or without this restriction, [a] which when in lowest terms have denominators less than or equal to n, arranged in order of increasing size. With the restricted definition, each Farey sequence starts with the value 0, denoted ...

8. 1/2 + 1/4 + 1/8 + 1/16 + ⋯ - ⋯ - Wikipedia

   en.wikipedia.org/wiki/1/2_%2B_1/4_%2B_1/8_%2B_1/...

   1/2 + 1/4 + 1/8 + 1/16 + ⋯. First six summands drawn as portions of a square. The geometric series on the real line. In mathematics, the infinite series ⁠ 1 2 ⁠ + ⁠ 1 4 ⁠ + ⁠ 1 8 ⁠ + ⁠ 1 16 ⁠ + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1. In summation notation ...

9. Rhind Mathematical Papyrus 2/n table - Wikipedia

   en.wikipedia.org/wiki/Rhind_Mathematical_Papyrus...

   The Rhind Mathematical Papyrus, [1][2] an ancient Egyptian mathematical work, includes a mathematical table for converting rational numbers of the form 2/ n into Egyptian fractions (sums of distinct unit fractions), the form the Egyptians used to write fractional numbers. The text describes the representation of 50 rational numbers.