Find the correct expression for 5.$$\overline{46}$$​ in the fractional form.

Correct option is A

Given:

We need to express$$5.\overline{46}$$​ in fractional form.

Concept Used:

A repeating decimal x =$$5.\overline{46}$$ can be expressed as a fraction using the following steps:

Solution:

Let x=5.46464646... (repeating 46)

Multiply by 100

100x = 546.464646...

Subtract the original equation from this equation:

(100x−x)=(546.464646...−5.464646…)

99x=541

x =$$\frac{541}{99}$$

Option (a) is right.