Question

Express 0.235(bar) as p/q

Answer 1

hiii!!!

here's Ur answer...

we have to express 0.235(bar) as p/q

0.235(bar) can be written as = 0.235235235...

let x = 0.235235235... --------(1)

multiplying both sides by 1000 since three numbers are repeating.

1000 × x = 1000 × 0.235235235...

1000x = 235.235235235... --------(2)

subtract equation (1) from equation (2)

1000x - x = 235.235235235... - 0.235235235...

999x = 235

x = 235/999

hence, 0.235235235... = 235/999

hope this helps..!!