Question

Which of the following is a rational number but not an integer?

188, 13 2/5, -4, or -51

Answer 1

Option C

Explanation:

Rational numbers are numbers of the form p/q, where p and q are integers and q not equal to zero.

Integers are number of the form p/q , where q = 1

Option A : 188 => integer and rational

Option B: 13 => integer and rational

Option C :2/5 => rational but not integer ( because q = 5 and not 1 )

Option D : - 51 => integer and rational

Answer 2

13 2/5

Explanation:

As,

Integers includes whole numbers, and negative of the whole numbers.

And Rationals includes every fraction, Integers and negative fraction.

So,

188, -4, and 51 are both Integers and Rationals.

But,

Only 13 2/5 is a mixed fraction included only in rationals and not in Integers