Question

express 0.235 in form of p/q

Answer 1

hello Robinhood here

0.235=235/1000=47/200

Have a nice day.

Answer 2

Since 0.235 bar has 3 recurring digits,

we have,

0.235 bar = x ___ ( i )

As 0.235 will have 3 recurring digits , we will multiply 0.235 bar with 10³ or 1000 on both sides


we have,

1000 × x = 0.235 bar × 1000

1000x = 235.235 bar ____(ii)


Subtracting equation (i) from (ii)

we have,

$\: \: \: \: \: 1000x = 235.235 \\ - \: \: \: \: \: \: \: \: x = \: \: \: \: \: \: \: 0.235 \\ = \: \: \: 999x = \: 235$




$x = \frac{235}{999}$


So,

0.235 bar = 235/999