Question

find the p/q form of
20.36bar​

Answer 1

Find the p/q form of 20.36bar

Solution -

You haven't said that bar is on 6 or 36, But I will answer for both.

1.

Find the p/q form of 20.36bar, bar on 6

[Because bar is on one digit, so we will multiply it by 10]

Let 20.36.. as x

so,

20.36...× 10 = 203.66.. = 10x

10x - x = 203.66... - 20.366...

=> 9x = 183.3

=> 9x × 10 = 183.3 × 10

=> 90x = 1833

=> x = 1833/90

So,

20.366.. in p/q form = 1833/90

2.

Find the p/q form of 20.36bar, bar on 36

[Because bar is on two digits, so we will multiply it by 100]

Let 20.3636... as x

so,

20.3636.. × 100 = 2036.3636.. = 100x

=> 100x - x = 2036.3636... - 20.3636...

=> 99x = 2016

=> x = 2016/99

So,

20.3636.. in p/q form = 2016/99

hope it helps.