The condition that the score is meaningful is that the denominator is not 0. The condition that a fraction is meaningless is that the denominator has a value of 0. In addition, the condition that the score is 0 is that the numerator is 0 and the denominator is not 0. If the numerator and denominator have the same sign, the value of the fraction is positive; If the denominator of the numerator is different, the value of the score is negative.

Generally speaking, if A and B represent two algebraic expressions, and B contains letters, then the formula A/B is called a fraction, where A is the numerator and B is the denominator. Fraction is an algebraic expression different from algebraic expression, and its value changes with the change of letter value in fraction. The condition that the score is meaningful is that the denominator is not 0.

Fraction originally refers to a part of the whole, or more generally, to any equal number of parts. The form of expression is the ratio of integer A to integer B (whether a false score in multiples of b is a score is controversial). Fraction indicates the fraction of one number to another, or the ratio of one event to all events.

Divide the unit "1" into several parts on average, and the number representing such a part or parts is called a fraction. The numerator is above and the denominator is below. When the denominator is 100, it can be written as a percentage, such as 1%. Their works form fractions by putting the numerator (Sanskrit: amsa) on the denominator (cheda), but there is no stripe between them.

In Sanskrit literature, fractions are always expressed as addition and subtraction of integers. Integer is written in one line, and its score is written in the next line of two lines. What if the score is in a small circle? 0was or cross? +was tag, which is subtracted from the integer; If such a sign does not appear, it is understood as adding.

history

The earliest fraction is the reciprocal of an integer: an ancient symbol representing one half, one third, one quarter, etc. Egyptians used the Egyptian score of 1000 BC. About 4000 years ago, Egyptians separated with slightly different scores. They use the least common multiple and unit fraction. Their method gives the same answer as the modern method.

Egyptians also have different representations of Akhmim wood chips and the second generation of mathematical papyrus. The Greeks used unit fractions and (post) continuous fractions. The Greek philosopher Pythagoras (about 530 BC) found that two square roots cannot be expressed as part of an integer.