Express 0.235bar in the form of p/q where pand q are integers
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Answer:
0.235 bar = 233/990.
Step-by-step explanation:
Expressing 0.235 bar in the form of p/q (where p & q are integers)
Now, Let x be 0.235 bar
⇒ 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 = 233/990
Therefore, 0.235 bar = 233/990.
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