Express the following in the form p/q 0.235 on 35 bar
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Let x =
⇒ 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 = 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
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