Question

Rational numbers are _____ natural numbers.

always
sometimes
never

Answer 1

hint:
a rational number is a ratio between two integer numbers, say m, and n, and n is different from zero. Now if m and n have the same sign and m is a multiple of n, namely m= k*n where k is a natural number, then the we can write:
\[\Large \frac{m}{n} = \frac{{kn}}{n} = k\]

Answer 2

Examples of rational numbers are: .9999, 1, 0, 7050.52, \[1/4 \] etc...

Examples of natural numbers are 0, 1, 2, 3, 4.

So is 1 always a rational and natural number? Yes.
Is .9994 always a rational and natural? No.

Therefore, rational numbers are (insert answer) natural numbers.

Answer 3

thnx @adam.bloedel