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Are all mixed numbers rational

Updated: 8/19/2019
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13y ago

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Yes.

A mixed number is a whole number plus a fraction.

  • Fractions are rational, that is of the form c/d
  • Whole numbers are rational - put them over 1 to form a[n improper] fraction a/b, eg 5 = 5/1
  • The sum of two rational numbers is rational.
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Q: Are all mixed numbers rational
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Related questions

Are mixed numbers a rational number?

A mixed number is a rational number. Mixed numbers are not a rational number but many of them.


Why are mixed numbers rational?

Because they can be expressed as a fraction


Is 2.7064 rational or irrational?

This number is rational - all fractions, including decimal fractions and mixed numbers are rational.


Are mixed numbers rational numbers?

yes


Are all rational numbers whole numbers?

All rational numbers are not whole numbers, as rational numbers can include fractions.


Could negative mixed numbers be rational numbers?

Not only could they be, but they always are.


Can the set of mixed numbers is the union of the set of integers and the set of fraction?

No, the set of mixed numbers is a subset of the set of rational numbers. For example the mixed number 1 ¼ is the same as the improper fraction 5/4 [a rational number]. Note that it is a subset, because integers are also rational numbers, but a mixed number will not be an integer. Also, any fraction between 0 and 1 will not be a mixed number.


Are natural numbers the same of rational numbers?

The set of rational numbers includes the set of natural numbers but they are not the same. All natural numbers are rational, not all rational numbers are natural.


Why are mixed numbers always rational?

Because they can be expressed as fractions


All rational and irrational numbers are?

All rational and irrational numbers are real numbers.


Are all real numbers a rational numbers?

Yes. Rational numbers are numbers that can be written as a fraction. All rationals are real.


Are rational numbers whole numbers?

The set of rational numbers includes all whole numbers, so SOME rational numbers will also be whole number. But not all rational numbers are whole numbers. So, as a rule, no, rational numbers are not whole numbers.