![]() Because of the rules of division of signed numbers, which require that, for example, negative divided by positive is negative, − 1 / 2, -1 / 2 and 1 / -2, all represent the same fraction, negative one-half. For example, if 1 / 2 represents a half dollar profit, then − 1 / 2 represents a half dollar loss. We can also write negative fractions, which represent the opposite of a positive fraction. The non-zero denominator in the case using a fraction to represent division is an example of the rule that division by zero is undefined. Thus the fraction 3 / 4 is also used to represent the ratio 3:4 (the ratio of the part to the whole) and the division 3 ÷ 4 (three divided by four). Other uses for fractions are to represent ratios and division. An integer such as the number 7 can be thought of as having an implicit denominator of one: 7 equals 7/1. For example, 0.01, 1%, and 10 −2 all equal the fraction 1/100. That same number can also be represented as a decimal, a percent, or with a negative exponent. A common, vulgar, or simple fraction (examples: 1 2 or 3⁄ 4 of a cake.Ī common fraction is a numeral which represents a rational number. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters. Each fourth of the cake is denoted by the fraction 1 / 4.Ī fraction (from Latin fractus, "broken") represents a part of a whole or, more generally, any number of equal parts. Dotted lines indicate where the cake may be cut in order to divide it into equal parts. A cake with one quarter (one fourth) removed.
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