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For example, if both the numerator and the denominator of the fraction are divisible by , then they can be written as =, =, and the fraction becomes cd / ce , which can be reduced by dividing both the numerator and denominator by c to give the reduced fraction d / e .
For example: "All humans are mortal, and Socrates is a human. ∴ Socrates is mortal." ∵ Abbreviation of "because" or "since". Placed between two assertions, it means that the first one is implied by the second one. For example: "11 is prime ∵ it has no positive integer factors other than itself and one." ∋ 1. Abbreviation of "such that".
For example, the numerators of fractions with common denominators can simply be added, such that + = and that <, since each fraction has the common denominator 12. Without computing a common denominator, it is not obvious as to what 5 12 + 11 18 {\displaystyle {\frac {5}{12}}+{\frac {11}{18}}} equals, or whether 5 12 {\displaystyle {\frac {5 ...
The following list includes the continued fractions of some constants and is sorted by their representations. Continued fractions with more than 20 known terms have been truncated, with an ellipsis to show that they continue. Rational numbers have two continued fractions; the version in this list is the shorter one.
BrainPop (stylized as BrainPOP) is a group of educational websites founded in 1999 by Avraham Kadar, M.D. and Chanan Kadmon, based in New York City. [1] As of 2024, the websites host over 1,000 short animated movies for students in grades K–8 (ages 5 to 14), together with quizzes and related materials, covering the subjects of science, social studies, English, math, engineering and ...
Two pairs of players (mainly Cynthia Darlow and Cris Franco vs. Larry Cedar and Luisa Leschin, except for one episode in which real kids were the contestants; season 1)/two players (seasons 3-4) (played by the cast members) tried to make the smallest/largest five-digit number possible (seasons 1 and 3), smallest/largest pair of fractions in ...
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