Are all fractions rational numbers?

A rational number is a fraction [math]\frac{p}{q}[/math] where [math]p[/math] and [math]q[/math] are integers and [math]q\ne 0[/math]. So all rationals are fractions, and all fractions having rational numerator and denominator are rational. read more

A rational number is a number that can be expressed as a fraction of two integers . Recursively this means that any fraction of two rational numbers , all terms integers, is also rational. This is just equal to and so is rational, since an integer times an integer is an integer. read more

Every fraction is a rational number but a rational number need not be a fraction. Let a/b be any fraction. Then, a and b are natural numbers. Since every natural number is an integer. Therefore, a and b are integers. Thus, the fraction a/b is the quotient of two integers such that b ≠ 0. Hence, a/b is a rational number. read more

All rational numbers are fractions. Rational numbers never have repeating decimals. Some integers are not rational numbers. All fractions are rational numbers. read more