Question

HIII GUYSSSS!!HERE IS A QUESTION FOR ALL MATHS LOVERS??????((NOT FOR HATERS OF MATHS;)))






Show that 0.333=0.3bar can be expressed as a rational number?????

Answer 1

let the 0.3bar =x

as there are one number under bar

then multiply by 0.3bar and x both by 10

then 

10x=3.3bar
-1x=-0.3bar

9x=3

x=3/9

then the number is 1/3

Answer 2

$let \: \\ x = 0.333.........(1) \\ multiplying \: 10 \: to \: both \: sides \\ 10 \times x = 10 \times 0.333 \\ 10x = 3.33 ............(2) \\ (2) -( 1) \\ 10x - x = 3.33 - 0.33 \\ 9x = 3 \\ x = \frac{3}{9} \\ x = \frac{1}{3} .$