Question

3.29 bar on 29 in the form of p/q

Answer 1

$\underline{\bold{Answer :}}$

Answer is 326 / 99

Solution :

$\sf 3.\overline{29}$

Let x = $\sf 3. \overline{29}$

⇒ x = 3. 29 29 29 ........( i )

Multiply both sides by 100,

⇒ 100 x = 329. 29 29 29 ...... ( ii )

On subtracting ( i ) from ( ii )

100 x - x = 329 - 3

⇒ 99 x = 326

⇒ x = $\sf \frac{326} {99}$

Therefore, $\sf 3. \overline{29} = \frac{326} {99}$