Question

without actual division state whether the following rational number will be terminating or non terminating repeating decimal form 51 by 64 please give me answer fast​

Answer 1

Answer: The decimal expansion will be terminating.

Step-by-step explanation:

Any rational number's decimal expansion can be terminating if the prime factorization of its denominator is equal to(2^p ×5^q) where p and q are non-negative integers.

Now in the case of 51/64, the prime factorization of 64 is 2^6×5^0. Here, 6 and 0 are non-negative integers. So, the decimal expansion of the given number is terminating.