What is the term for a number that can be expressed as a fraction of two integers?

What is the term for a number that can be expressed as a fraction of two integers?

• A. Real Number
• B. Rational Number
• C. Whole Number
• D. Complex Number

Answer: (B)

The term for a number that can be expressed as a fraction of two integers is a rational number. By definition, a rational number is any number that can be written in the form \( \frac{a}{b} \), where \( a \) and \( b \) are integers, and \( b \) is not zero. This encompasses integers and fractions, as integers can be represented as fractions by placing them over 1 (for example, \( 3 \) can be expressed as \( \frac{3}{1} \)). In contrast, real numbers include both rational and irrational numbers, but the question specifically asks for a subset of real numbers that meet the fraction criteria, which is why "real number" does not fit this requirement. Whole numbers are a subset of integers and do not cover all forms of fractional representation. Complex numbers include a real part and an imaginary part, which is not merely a fraction of integers, thus that option does not apply either. Therefore, rational numbers are the precise answer in this context, more accurately describing the relationship between integers in fraction form.

The term for a number that can be expressed as a fraction of two integers is a rational number. By definition, a rational number is any number that can be written in the form ( \frac{a}{b} ), where ( a ) and ( b ) are integers, and ( b ) is not zero. This encompasses integers and fractions, as integers can be represented as fractions by placing them over 1 (for example, ( 3 ) can be expressed as ( \frac{3}{1} )).

In contrast, real numbers include both rational and irrational numbers, but the question specifically asks for a subset of real numbers that meet the fraction criteria, which is why "real number" does not fit this requirement. Whole numbers are a subset of integers and do not cover all forms of fractional representation. Complex numbers include a real part and an imaginary part, which is not merely a fraction of integers, thus that option does not apply either. Therefore, rational numbers are the precise answer in this context, more accurately describing the relationship between integers in fraction form.