Question

Express 3.72727272727... as a rational number, in the form pq

Answer 1

Hi there!

Let x = 3. 72727.... ---(i)

Multiply 100 in eqn. (i)

100x = 372. 72727... ---(ii)

Subtract Eqn. (i) from (ii)

100x - x = 372. 7272... - 3. 7272...

99x = 369

x = $\dfrac {369}{99}$

x = $\dfrac {41}{11}$

Hence, $\dfrac {41}{11}$ is th' required p-q form.


~ Hope it helps!