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Unit fractions can also be expressed using negative exponents, as in 2 −1, which represents 1/2, and 2 −2, which represents 1/(2 2) or 1/4. A dyadic fraction is a common fraction in which the denominator is a power of two, e.g. 1 / 8 = 1 / 2 3 . In Unicode, precomposed fraction characters are in the Number Forms block.
For example, 1 / 4 , 5 / 6 , and −101 / 100 are all irreducible fractions. On the other hand, 2 / 4 is reducible since it is equal in value to 1 / 2 , and the numerator of 1 / 2 is less than the numerator of 2 / 4 . A fraction that is reducible can be reduced by dividing both the numerator ...
In terms of partition, 20 / 5 means the size of each of 5 parts into which a set of size 20 is divided. For example, 20 apples divide into five groups of four apples, meaning that "twenty divided by five is equal to four". This is denoted as 20 / 5 = 4, or 20 / 5 = 4. [2] In the example, 20 is the dividend, 5 is the divisor, and 4 is ...
Today, a more standard phrasing of Archimedes' proposition is that the partial sums of the series 1 + 1 / 4 + 1 / 16 + ⋯ are: + + + + = +. This form can be proved by multiplying both sides by 1 − 1 / 4 and observing that all but the first and the last of the terms on the left-hand side of the equation cancel in pairs.
Zero divided by a negative or positive number is either zero or is expressed as a fraction with zero as numerator and the finite quantity as denominator. Zero divided by zero is zero. In 830, Mahāvīra unsuccessfully tried to correct the mistake Brahmagupta made in his book Ganita Sara Samgraha : "A number remains unchanged when divided by zero."
0.1 2: Ternary: 0.1111111111 3: Senary: 0.3 6: ... It is an irreducible fraction with a numerator of 1 ... A half can also be said to be one part of something divided ...
1672 = 41 2 - 3 2, the only way to express 1672 as a difference of prime squares [245] 1673 = RMS number [385] 1674 = k such that geometric mean of phi(k) and sigma(k) is an integer [296] 1675 = Kin number [386] 1676 = number of partitions of 34 into parts each of which is used a different number of times [307]
[3] 6 is the largest of the four all-Harshad numbers. [ 4 ] 6 is the 2nd superior highly composite number , [ 5 ] the 2nd colossally abundant number , [ 6 ] the 3rd triangular number , [ 7 ] the 4th highly composite number , [ 8 ] a pronic number , [ 9 ] a congruent number , [ 10 ] a harmonic divisor number , [ 11 ] and a semiprime .