Convert into fraction: $$0.24\overline{37}$$​​

Correct option is B

Given:

The repeating decimal is $$0.24\overline{37}$$  which means that the digits  37  repeat indefinitely.

Concept Used:

To convert a repeating decimal to a fraction, we represent the decimal as a sum of a non-repeating part and a repeating part.

Solution:

Let $$x = 0.24\overline{37}$$​​

Multiply both sides by 100 (to shift the decimal point two places to the right):

​$$100x = 24.\overline{37}$$​​

Now, multiply both sides by 10000 (to shift the decimal point four places to the right so the repeating part aligns):

​$$10000x = 2437.\overline{37}$$​​

Subtract the first equation from the second:

​$$10000x - 100x = 2437.\overline{37} - 24.\overline{37}$$​​

9900x = 2413

x = $$\frac{2413}{9900}$$​​

Thus, $$0.24\overline{37} = \frac{2413}{9900}$$​.