Ads
related to: positive fractionsThis site is a teacher's paradise! - The Bender Bunch
- Guided Lessons
Learn new concepts step-by-step
with colorful guided lessons.
- Worksheet Generator
Use our worksheet generator to make
your own personalized puzzles.
- Digital Games
Turn study time into an adventure
with fun challenges & characters.
- Printable Workbooks
Download & print 300+ workbooks
written & reviewed by teachers.
- Guided Lessons
Search results
Results from the WOW.Com Content Network
An Egyptian fraction is the sum of distinct positive unit fractions, for example +. This definition derives from the fact that the ancient Egyptians expressed all fractions except , and in this manner. Every positive rational number can be expanded as an Egyptian fraction.
The unit fractions are the rational numbers that can be written in the form , where can be any positive natural number. They are thus the multiplicative inverses of the positive integers. When something is divided into n {\displaystyle n} equal parts, each part is a 1 / n {\displaystyle 1/n} fraction of the whole.
Fractions: A representation of a non-integer as a ratio of two integers. These include improper fractions as well as mixed numbers . Continued fraction : An expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing this other number as the sum of ...
As with fractions of the form , it has been conjectured that every fraction (for >) can be expressed as a sum of three positive unit fractions. A generalized version of the conjecture states that, for any positive k {\displaystyle k} , all but finitely many fractions k n {\displaystyle {\tfrac {k}{n}}} can be expressed as a sum of three ...
The Rhind Mathematical Papyrus. An Egyptian fraction is a finite sum of distinct unit fractions, such as + +. That is, each fraction in the expression has a numerator equal to 1 and a denominator that is a positive integer, and all the denominators differ from each other.
In mathematics, the harmonic series is the infinite series formed by summing all positive unit fractions: = = + + + + +. The first n {\displaystyle n} terms of the series sum to approximately ln n + γ {\displaystyle \ln n+\gamma } , where ln {\displaystyle \ln } is the natural logarithm and γ ≈ 0.577 {\displaystyle \gamma \approx 0.577 ...
A continued fraction is a mathematical expression that can be written as a fraction with a denominator ... and b 1, b 2,... are positive integers with a k ≤ b k for ...
An Egyptian fraction is the sum of a finite number of reciprocals of positive integers. According to the proof of the Erdős–Graham problem, if the set of integers greater than one is partitioned into finitely many subsets, then one of the subsets can be used to form an Egyptian fraction representation of 1.
Ads
related to: positive fractionsThis site is a teacher's paradise! - The Bender Bunch