Express $$0.\bar{25}$$ in the form $$\frac{p}{q}$$​, where p and q are integers and $$q \neq 0$$​.

Correct option is D

Given:

The repeating decimal is:

0.\overline{25}

Solution:

Let x = $$0.\overline{25}$$​​

Multiply both sides by 100 (since the repeating part has 2 digits):

100x = $$25.\overline{25}$$​​

Subtract the original equation ($$x = 0.\overline{25}$$​) from this:

100x - x = $$25.\overline{25} - 0.\overline{25}$$​​

99x = 25

x = $$\frac{25}{99}$$​​

The value of $$0.\overline{25}$$​ in the form of $$\frac{p}{q}$$​ is: $$\frac{25}{99}$$​​