Question

express each of the following decimals into p/q form
0.38bar5

Answer 1

let x=0.3855555.......--------1

Multiply 10 both side

10x=3.85555......-----------2

Subtract equation 1 from 2

10x=3.85555...

x=0.3855555...

9x=3.47

x=3.47/9

=347/900

HOPE IT WILL HELP ✌✌

Answer 2

$\bf{ \underline{ \underline{Answer \: : }}}$

Let ,

$x = 0.38 \overline {5} \\ \\ x = 0.385555... \\ \\ 10x = 3.85555... \\ \\ 10x = 3.47 + 0.38555... \\ \\ 10x = 3.465 + x \\ \\ 10x - x = 3.47\\ \\ x = \frac{347}{900}$