Question

0.2373737 in p/q form​

Answer 1

x = 0.23737 = 47/198

Let x = 0.2373737 ---(1)

Multiply (1) by 10, we get

10x = 2.373737 ---(2)

Multiply (2) by 100, we get

1000x = 237.373737 ---(3)

Subtract (2) from (3) , we get

=> 990x = 235

=> x = 235/990

=> x = (5×47)/(5×198)

After cancellation, we get

=> x = 47/198 [ p/q form ]

Therefore,

x= 0.23737....= 47/198