No. For example, pi is a real number, but it is irrational (it cannot be converted into an exact fraction).
The reverse is true, however: all rational numbers are also real numbers.
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No.
For example:
All rational numbers are examples of numbers which are both rational and real.
There are rational numbers and irrational numbers. Real numbers are DEFINED as the union of the set of all rational numbers and the set of all irrational numbers. Consequently, all rationals, by definition, must be real numbers.
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. All rational numbers are real.
247 is both a rational and real number. A rational number is any number that can be expressed as a fraction where the numerator and denominator are integers, and 247 can be written as 247/1. Real numbers include all rational numbers, as well as irrational numbers, and since 247 is a rational number, it falls under the category of real numbers.
No, not all real numbers. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.