Question

What is the p/q form of the rational number 0.37bar81.

Answer 1

Heya !!!

0.3781 ( bar on 81)

Let X = 0.3781

Then X = 0.378181 ----------(1)

Multiply equation (1) by 100 we get,

100X = 37.8181 -------(2)

Again multiply equation (2) by 100 we get,

10000X = 3781. 8181 --------(3)

Subtract equation (2) from equation (3) we get,

10000X = 3781 .8181
100X = 37.8181
________________

9900X = 3744

X = 3744/9900 => 936/2475 = 312/825 = 104/275

Hence,

0.3781 ( bar on 81) is in the form of 104/275 which is in the form of P/Q.

HOPE IT WILL HELP YOU....... :-)

Answer 2

let x=0.37818181..... (equation 1)
as the right side if decimal two digits are repeating
multiply both side by 100
100*x=100*0.3781818181....
100x.= 37.818181 equ2
then also 2 digits are repeating after decimal
multiply both side by 100 again
100x*100=37.8181*100
10000x=3781.81 equ3
sub equ 3 from1
10000x-100x=3781.81..
-37.81.
9900x=3744
x=3744/9900
Which is the form of p/q