Question

0.728 bar in to p by q form

Answer 1

Step-by-step explanation:

$Let \: x = 0. \overline{728} \\ \therefore \: x = 0.728728....\\ multiplying \: both \: side \: by \: 1000. \\ 1000 \: x = 728.728... \\ \therefore \:1000 \: x = 728 + 0.728.... \\ \therefore \:1000 \: x = 728 + 0. \overline{728} \\ subtracting \: x \: from \: both \: sides \\ 1000 \: x - x= 728 + 0. \overline{728} - x \\ \therefore \:999 \: x = 728 + 0. \overline{728} - 0. \overline{728} \\ \therefore \:999 \: x = 728 \\ \huge \boxed{ \therefore \:x = \frac{728}{999} }$