Both can be either.
For example,
1.4 is a rational decimal.
1.41421356 (...) is the decimal representation for sqrt(2), an irrational.
2/5 is a rational fraction.
sqrt(2)/3 is an irrational fraction.
Fractions and decimals are usually rational numbers. Besides, multiplying rational and irrational numbers is also similar.
All rational numbers can be converted from decimals to fractions as for example 0.75 = 3/4 but irrational numbers can not be converted from decimals to fractions.
Integers are whole numbers. Fractions, whether in decimal or divisional form, can be either rational or irrational.
No integers are irrational numbers. An integer is a whole number, positive or negative. This means they have no decimals or fractions. An irrational number, however, is a number with fractions or decimals. Therefor, there are no integers that are irrational numbers.
If you can completely write a number, using digits, fractions and decimals, then the number is rational. You appear to have accomplished that.
Because they can be converted, quite easily, into equivalent rational fractions.
Yes, numbers fall into two categories rational and irrational. Rational: Fractions Terminating Decimals Integers Irrational: Pi The square root of 2 The square root of 3 Infinity
In order to convert decimals into percentages In order to convert decimals into fractions To distinguish irrational numbers from rational numbers
Fractions are rational by definition.
No, they are rational.
Rational numbers - can be expressed as a fraction, and can be terminating and repeating decimals. Irrational numbers - can't be turned into fractions, and are non-repeating and non-terminating. (like pi)
The difference is that rational numbers can be expressed as fractions whereas irrational numbers can not be expressed as fractions.