Question

Decimal expansion of which of the following is non-terminating recurring?
3/11
7/5
5/8​

Answer 1

Step-by-step explanation:

We know that a terminating decimal is a decimal that ends. It's a decimal with a finite number of digits. For example

4

1

=0.25, it has only two decimal digits.

Now consider the fraction

32

5

whose decimal form will be:

32

5

=0.15625

The resulting decimal number ends with five decimal digits and therefore, it is terminating decimal.

Hence,

32

5

has a terminating decimal expansion.

While,

9

7

=0.7777..., non-terminating,

15

8

=0.5333..., non-terminating

and

9

7

=0.08333..., non-terminating

Therefore, option A is correct.