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Because that is the definition of Irrational Numbers: They are the numbers that cannot be written as a ratio of two integers! A fraction is a ratio of two integers.

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Q: Why you cannot write irrational numbers in fraction?

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Most square roots, cube roots, etc. - including this one - are irrational numbers. That means you can't write them exactly as a fraction. Of course, you can calculate the cubic root with a calculator or with Excel, then find a fraction that is fairly close to it.

Pi is a type of number called an irrational number. That means it cannot be written as a fraction. If we write the decimal representation of Pi, the first 4 numbers after the decimal are 1415 but it does continue on forever and there is no repeating patterns. The fact that is cannot be written as a fraction is equivalent to saying its decimal repesentation goes on forever. This is because if we COULD write it as a fractions, say by contradition the Pi is 3.14159 exactly (by contradiction means we know it is not) Then we could simply take this number and multiply the numerator and denominatory by 100000 and we would have a fraction, namely 314159/100000, but this means Pi is rational and it is not. THIS IS NOT a proof that pi is irrational. That proof is not too hard, but I will wait for someone to ask for it.

Smallest Fraction: 3/(4*5)Largest Fraction: (4*5)/3Smallest Mixed Fraction: 3 4/5Largest Mixed Fraction: 5 4/3 = 6 1/3Smallest Fraction (Digits): 3/54Largest Fraction (Digits): 5/34Small numbers divided by large numbers yield small numbers; large numbers divided by small numbers yield large numbers.

No. Any number you can completely write down with digits, plus a fraction bar or a decimal point if you need one, is rational.

You can't write that as an exact fraction. In general, the square root of a natural number is either a natural number, or an irrational number - i.e., one that can't be written as a fraction. Of course, you can approximate it; for example (as a mixed fraction) as 3 74/100, or as 3 3/4.

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No, you cannot write any irrational number as a fraction.

If you're talking about real numbers, then it is an irrational number. Any number that cannot be written as a fraction is irrational. You cannot write pi as a fraction (22/7 is just an estimate). So any thing multiplied with pi cannot be rational either.

No. Quite simply an irrational number cannot be written as a fraction and you could write zero as a fraction ex. 0/1

Another clue is that the decimal goes on forever without repeating. So you can tell if it is Rational or Irrational by trying to write the number as a simple fraction.

A rational number is one that can be expressed as a ratio or a fraction: 1:5, 2/7, 23/77. An irrational number cannot. If you can write it as a decimal which ends or repeats, it is rational. Typical irrational numbers are things like pi (3.1415926535...), e (2.71828...), and most square roots (root 2 = 1.4142...).

Fractional representations of irrational numbers won't be accurate. Many people have used 355/113 as a close approximation.

82 is not a fraction or a mixed number. It is a whole number, and whole numbers cannot be simplified.

70 is not a fraction or a mixed number. It is a whole number, and whole numbers cannot be simplified.

Irrational numbers. A good example of this is pi. If you were to write out pi as a decimal, the digits after the decimal point would go on forever.

To express certain numbers that can't be expressed as a rational number - i.e., that you can't write as a fraction, with integers in the numerator and the denominator.

An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator. A rational number can be.A rational number is defined to be a number that can be expressed as the ratio of two integers. An irrational number is any real number that is not rational. A rational number is a number that can be expressed as a fraction. An irrational number is one that can not.Some examples of rational numbers would be 5, 1.234, 5/3, or -3Some examples of irrational numbers would be π, the square root of 2, the golden ratio, or the square root of 3.A rational number is a number that either has a finite end or a repeating end, such as .35 or 1/9 (which is .1111111 repeating).An irrational number has an infinite set of numbers after the decimal that never repeat, such a the square root of 2 or pi.A rational number is one that can be expressed as a ratio of two integers, x and y (y not 0). An irrational number is one that cannot be expressed in such a form.In terms of decimal numbers, a rational number has a decimal representation that is terminating or [infinitely] recurring. The decimal representation for an irrational is neither terminating nor recurring. (Recurring decimals are also known as repeating decimals.)A rational number is a number that can be expressed as a fraction. An irrational number is one that can not.Some examples of rational numbers would be 5, 1.234, 5/3, or -3Some examples of irrational numbers would be π, the square root of 2, the golden ratio, or the square root of 3.An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator. A rational number can be.A rational number can be represented by a ratio of whole numbers. An irrational number cannot. There are many more irrational numbers than there are rational numbersRational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.A rational number can be expressed as a fraction, with integers in the numerator and the denominator. An irrational number can't be expressed in that way. Examples of irrational numbers are most square roots, cubic roots, etc., the number pi, and the number e.A rational number can always be written as a fractionwith whole numbers on the top and bottom.An irrational number can't.A rational number can always be written as a fraction with whole numbers on top and bottom.An irrational number can't.Any number that you can completely write down, with digits and a decimal pointor a fraction bar if you need them, is a rational number.A rational number can be expressed as a fraction whereas an irrational can not be expressed as a fraction.Just look at the definition of a rational number. A rational number is one that can be expressed as a fraction, with integers (whole numbers) in the numerator and the denominator. Those numbers that can't be expressed that way - for example, the square root of 2 - are said to be irrational.A rational number is any number that can be written as a ratio or fraction. If the decimal representation is finite orhas a repeating set of decimals, the number is rational.Irrational numbers cannot be reached by any finite use of the operators +,-, / and *. These numbers include square roots of non-square numbers, e.g.√2.Irrational numbers have decimal representations that never end or repeat.Transcendental numbers are different again - they are irrational, but cannot be expressed even with square roots or other 'integer exponentiation'. They are the numbers in between the numbers between the numbers between the integers. Famous examples includee or pi (π).By definition: a rational number can be expressed as a ratio of two integers, the second of which is not zero. An irrational cannot be so expressed.One consequence is that a rational number can be expressed as a terminating or infinitely recurring decimal whereas an irrational cannot.This consequence is valid whatever INTEGER base you happen to select: decimal, binary, octal, hexadecimal or any other - although for non-decimal bases, you will have the "binary point" or "octal point" in place of the decimal point and so on.A rational number can be expressed as a fraction whereas an irrational number can't be expressed as a fractionRational numbers can be expressed as a ratio of two integers, x/y, where y is not 0. Conventionally, y is taken to be greater than 0 but that is not an essential element of the definition. An irrational number is one for which such a pair of integers does not exist.Rational numbers can be expressed as one integer over another integer (a "ratio" of the two integers) whereas irrational numbers cannot.Also, the decimal representation ofa rational number will either: terminate (eg 31/250 = 0.124); orgo on forever repeating a sequence of digits at the end (eg 41/330 = 0.1242424... [the 24 repeats]);whereas an irrational number will not terminate, nor will there be a repeating sequence of digits at the end (eg π = 3.14159265.... [no sequence repeats]).Rational numbers are numbers that keeps on going non-stop, for example pie. Irrational numbers end. Its as simple as that! Improved Answer:-Rational numbers can be expressed as fractions whereas irrational numbers can't be expressed as fractions.a rational number can be expressed as a fraction in the form a/b (ie as a fraction).a irrational number cannot be expressed as a fraction (e.g. pi, square root of 2 etc)Rational numbers can be represented as fractions.That is to say, if we can write the number as a/b where a and b are any two integers and b is not zero. If we cannot do this, then the number is irrational.For example, .5 is a rational number because we can write it as 5/10=1/2The square root of 2 is irrational because there do not exist integers a and b suchthat square root of 2 equals a/b.Rational numbers can be expressed as fractions whereas irrational numbers can't be expressed as fractions.

Being rational or irrational is not about "predicting the next digit"; the definition of a rational number is that you can write it as a fraction, with integer numerator and denominator.Being rational or irrational is not about "predicting the next digit"; the definition of a rational number is that you can write it as a fraction, with integer numerator and denominator.Being rational or irrational is not about "predicting the next digit"; the definition of a rational number is that you can write it as a fraction, with integer numerator and denominator.Being rational or irrational is not about "predicting the next digit"; the definition of a rational number is that you can write it as a fraction, with integer numerator and denominator.

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