Question

express 0.235 in p/q form where 35 are bar

Answer 1

$\underline{\overline{Answer :}}$

Answer is 233 / 990

Solution :

$\sf 0.2 \overline{35}$

Let x = $\sf 0.2 \overline{35}$

⇒ x = 0. 23 53 53 535........( i )

Multiply both sides by 10,

⇒ 10x = 2. 35 35 35 35...... ( ii )

Multiply both sides by 100,

⇒ 1000 x = 235. 35 35 35...... ( iii )

On subtracting ( ii ) from ( iii )

1000 x - 10 x = 235 - 2

⇒ 990 x = 233

⇒ x = $\sf \frac{233} {990}$

Therefore, $\sf 0.2 \overline{35} = \frac{233} {990}$

Answer 2

Answer:

Step-by-step explanation:

Let x= 0.23535... I

Multiply both side by 100

100x= 23.53535... II

Subtract II - I

100x - x = 23.53535... - 0.23535...

99x = 23.3

x = 23.3/99