Question

Rewrite as a simplified fraction. \large{3.\overline{5} = {?}}3. 5 =?3, point, start overline, 5, end overline, equals, question mark

Answer 1

Given:

The number is $3.\overline{5}$.

To find:

The simple fraction of the given number.

Solution:

Let us assume,

$x=3.\overline{5}$

Then,

$x=3.555...$                 ...(i)

Multiply both sides by 10.

$10x=35.555...$          ...(ii)

Subtracting (i) from (ii), we get

$10x-x=35.555...-3.555...$

$9x=32$

$x=\dfrac{32}{9}$

Therefore, the simplified fraction form of the given number is $\dfrac{32}{9}$.