What Is Fractionation?

A score is a part of the whole, or more generally, any number of equal parts.

Note: The definition of grades in elementary school and after elementary school is different. Elementary school

,

Wait for the first time as a score. But in fact, only rational numbers that are not equal to integers are fractions, so

,

Waiting is not a score.

The unit "1" is evenly divided into several parts, and the number indicating such a part or parts is called a true fraction such as:

or

, May also become a false fraction, that is, the numerator is greater than or equal to the denominator, such as

. The denominator indicates that an object is divided into several parts, and the numerator indicates that several parts are taken.

The numerator is up and the denominator is down. You can also treat it as

The earliest fractions were inverse integers: ancient symbols representing one-half, one-third, one-quarter, etc. The Egyptians used the Egyptian fraction c. 1000 bc. About 4,000 years ago, the Egyptians separated in slightly different ways. They use least common multiples and unit fractions. Their method gives the same answer as modern methods. The Egyptians also had different representations of Akhmim's wood chips and second-generation mathematical papyrus problems.

The Greeks used unit scores and (post) continuous scores. Followers of the Greek philosopher Pythagoras (c. 530 bc) found that two square roots cannot be represented as part of an integer. (Usually this may be wrongly attributed to Metapontum's Hippasus, who is said to have been executed to reveal this fact). Among 150 Indians in India, Jain mathematicians wrote "Sthananga Sutra", which contains number theory, arithmetic operations and manipulations.

Modern scores called bhinnarasi seem to originate from Indian work in Aryabhatta (c. Ad 500), [citation needed] Brahmagupta (c. 628) and Bhaskara (c. 1150). Their work forms scores by placing the numerator (Sanskrit: amsa) on the denominator (cheda), but without the stripes between them. In Sanskrit literature, fractions are always expressed as an integer plus and minus. Integers are written on one line, and their scores are written on the next line of the two lines. If the score is marked with a small circle 0was or a cross + was, it is subtracted from the integer; if no such mark appears, it is understood to be added.

An object, a figure, and a unit of measurement can all be regarded as the unit "1". The unit "1" is evenly divided into several parts, and a number indicating such a part or parts is called a fraction. In the fraction, the number of divisions of the unit "1" is called the denominator, and the number of such divisions is called the numerator;

To understand the meaning of decimals, you can start with the meaning of fractions. The meaning of fractions can be explained by the activities of division and synthesis. When a whole (referring to the reference quantity) is divided into equal parts, the quantity gathered in a part of it is called "component" And "score" is used to represent or record this "component". For example: 2/5 refers to the "component" of an integer divided into five equal parts. ^[2]

The denominator must not be 0, because

Three types of scores:

Fractions are almost as old as natural numbers in history. As early as the beginning of the invention of human culture, due to the need for measurement and equalization, people introduced and used fractions.

Reading of fractions, decimals and percentages; numerators in fractions are represented by radix words, and denominators are represented by ordinal words. Read the numerator first, then the denominator. When the numerator is greater than 1, add "s" to the denominator.

E.g:

Two thirds

Tips: numerator numerator, denominator ordinal, numerator greater than 1, denominator plus s. ^[5]