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Q: Why are mixed numbers rational numbers?

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

yes

Yes

Because they can be expressed as a fraction

No, the set of mixed numbers is a subset of the set of rational numbers. For example the mixed number 1 Â¼ 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.

Not only could they be, but they always are.

Because they can be expressed as fractions

In any case, being the product of two rational numbers, it will also be rational. It can either be another mixed number, or it may happen to be an integer.

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

Yes.A mixed number is a whole number plus a fraction.Fractions are rational, that is of the form c/dWhole numbers are rational - put them over 1 to form a[n improper] fraction a/b, eg 5 = 5/1The sum of two rational numbers is rational.

Yes, mixed fractions are rational

Yes.

A mixed fraction is a rational number because you can rewrite it as one integer over another.

There are no consecutive rational numbers. Between any two rational numbers there are an infinity of rational 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.

No. Rational numbers are numbers that can be written as a fraction. All rational numbers are real.

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. All natural numbers are rational.

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.

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

They do not. There is no relationship between rational numbers and rational decisions.

Find the arithmetic average of the two rational numbers. It will be a rational number and will be between the two numbers.

Short answer - yes, fractions with whole numbers are rational. All whole numbers are rational. All fractions are rational. Rational numbers can be added to always make another rational number.

All rational numbers are real numbers.

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. Not all real numbers are rational.

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. NOt all real numbers are rational.