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A mixed number is of the form a b/c where a, b and c are integers and a and c are non-zero.Now, a b/c = (ac + b)/c

and, by the laws governing the basic operations for integers, (ac + b) is an integer.

Therefore, the mixed number can be expressed as a ratio of two integers. It is therefore a rational number.


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10y ago

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8y ago

Because it can be expressed as a fraction.

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Q: Why is a mixed number a rational number?
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Are mixed numbers a rational number?

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


Is there any exemptions of mixed number being rational number?

The answer depends on what you mean by a mixed number. A mixed fraction, for example, is always a rational number - without exception.


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Because they can be expressed as a fraction


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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.


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Are all mixed numbers rational?

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