Which of the following numbers can be represented as non-terminating, repeating decimals?
A. `(39)/(24)`
B. `3/(16)`
C. `3/(11)`
D. `(137)/(25)`

Explanation

A) `39/24`
Prime Factors of Denominator → `24 = 2 * 2 * 2 * 3 = 2^3 * 3`
= Other than `2`.
= Hence, Non - Terminating Repeating decimal.
(B) `3/16`
Prime Factors of Denominator
→ `16 = 2 * 2 * 2 * 2 = 2⁴
= Only 2 `.Hence, terminating decimal
(C)` 3/11`
Prime Factors of Denominator → `11 = 1 * 11
= Other Than 2.`
= Hence, Non -Terminating Repeating decimal.
D) `137/25 `
Prime Factors of Denominator
→` 25 = 5 * 5 = 5²
= Only 5 `.
= Hence, Terminating decimal.