express 0 3178 in p/q form, 178 is repeating manner - Maths - Real Numbers

Question

express 0 3178 in p/q form, 178 is repeating
manner

Manbar Singh · Accepted Answer

Let x = 0 3178 = 0 3178178178
⇒10x = 3 178178178
             
1Multiply 1 by 1000, we get10000 x = 3178
178178    
2Subtracting 1 from 2 , we get10000x - 10x = 3178
178178  - 3 178178178
⇒9990x = 3175⇒x = 31759990 = 6351998so, 0
3178 = 6351998

express 0.3178 in p/q form, 178 is repeating manner.