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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 .
In the second step, they were divided by 3. The final result, 4 / 3 , is an irreducible fraction because 4 and 3 have no common factors other than 1. The original fraction could have also been reduced in a single step by using the greatest common divisor of 90 and 120, which is 30. As 120 ÷ 30 = 4, and 90 ÷ 30 = 3, one gets
The decimal numeral system (also called the base-ten positional numeral system and denary / ˈdiːnəri / [ 1] or decanary) is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers ( decimal fractions) of the Hindu–Arabic numeral system. The way of denoting numbers in the decimal system ...
In mathematics, a rational number is a number that can be expressed as the quotient or fraction of two integers, a numerator p and a non-zero denominator q. [ 1] For example, is a rational number, as is every integer (e.g., ). The set of all rational numbers, also referred to as " the rationals ", [ 2] the field of rationals[ 3 ...
The golden ratio is also an algebraic number and even an algebraic integer. It has minimal polynomial. This quadratic polynomial has two roots, and. The golden ratio is also closely related to the polynomial. which has roots and As the root of a quadratic polynomial, the golden ratio is a constructible number.
Clearing denominators. In mathematics, the method of clearing denominators, also called clearing fractions, is a technique for simplifying an equation equating two expressions that each are a sum of rational expressions – which includes simple fractions .
The topic of Egyptian fractions has also seen interest in modern number theory; for instance, the Erdős–Graham problem [9] and the Erdős–Straus conjecture [10] concern sums of unit fractions, as does the definition of Ore's harmonic numbers. [11] A pattern of spherical triangles with reflection symmetry across each triangle edge.
The fractional part or decimal part [1] of a non‐negative real number is the excess beyond that number's integer part. The latter is defined as the largest integer not greater than x, called floor of x or . Then, the fractional part can be formulated as a difference : . For a positive number written in a conventional positional numeral system ...