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Are mixed numbers rational numbers?

Understand the Problem

The question is asking whether mixed numbers, which consist of a whole number and a fraction, fall within the category of rational numbers. Rational numbers are defined as numbers that can be expressed as the quotient of two integers, where the denominator is not zero. Since mixed numbers can be converted into this form, the question seeks to clarify their classification.

Answer

Yes, mixed numbers are rational numbers.

Mixed numbers are rational numbers because they can be expressed as fractions, which have an integer numerator and a non-zero integer denominator.

Answer for screen readers

Mixed numbers are rational numbers because they can be expressed as fractions, which have an integer numerator and a non-zero integer denominator.

More Information

Mixed numbers, which combine whole numbers and fractions, can always be transformed into improper fractions. By definition, this makes them rational numbers.

Tips

A common mistake is to assume mixed numbers are not rational numbers simply because they include both whole numbers and fractions. They can be expressed as improper fractions, which clearly shows they are rational.

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