To reduce a rational number to its simplest terms, divide both the numerator and denominator by all the common factors resulting in both elements being prime numbers or being relatively prime (i.e. they have no factors in common)
Example : 4500/6600 = 45/66 = 15/22
Neither 15 or 22 are prime numbers but the two numbers have no common factors (15 = 3x5 : 22 = 2x11) and are therefore relatively prime.
It is rational number because it can be expressed as a fraction in the form of 341/500 in its simplest terms
It is a rational number because 0.434 can be expressed as a fraction in the form of 217/500 in its simplest terms
If there is no common factor other than 1 in a rational expression, it is in simplest terms or form.
Any number that can be expressed as a ratio, or vulgar fraction, of another number, is rational. Therefore, since 0.522 can be expressed, as a vulgar fraction in its simplest terms, as 261/500, it is rational.
It is in its simplest form when all terms in the rational expression have a highest common factor of 1
Yes because it can be expressed as a fraction such as 182/25 in its lowest terms
0.16 is a rational number because it can be expressed as a fraction in the form of 4/25 in its lowest terms
0.36 is a rational number because it can be expressed as a fraction in the form of 9/25 in its lowest terms
It is a rational number because it can be expressed as a fraction in the form of 23/40 in its lowest terms
In terms of mathematical concepts, there is no difference at all. In practical terms, some rational exponents or rational number will result in rational answers while radical exponent won't. But that is hardly a significant difference.
It is a real number that can be expressed as a ratio of two integers.
No. An irratioinal number is a number that cannot be expressed as a fraction 6.23 = 623/1000 (you can check this on your calculator, if you'd like). The existence of this fraction means, by the definition given above, the 6.23 is not an irrational number. In more applied terms, any number with a decimal without repeating terms is ALWAYS rational. In decimals with repeating terms, as long as the terms follow some pattern, the number is rational. example: 0.3333333333... is rational because the numbers follow a pattern (and because this = 1/3). pi (or 3.141592.....) is not rational because the numbers do not follow a pattern.