Question

express 0.86 in p/q form from bar on 6​

Answer 1

Step-by-step explanation:

Given :-

Number = 0.86 ,bar on 6

To find:-

Express the given number into p/q form?

Solution:-

Given decimal number = 0.86, bar on 6

Let X = 0.86666... -----------(1)

Since ,the periodicity is 1

Multiply (1) with 10 then

=>10×X = 0.86666...×10

=>10X = 8.6666...----------(2)

On Subtracting (1) from (2) then

(2)-(1)

10X = 8.6666...

X =0.8666...

(-)

_________________

9X = 7.8000...

__________________

=> 9X = 7.8

=>9X = 78/10

=>X =(78/10)/9

=>X = 78/(10×9)

=>X = 78/90

=>X = (6×13)/(6×15)

=>X = 13/15

0.86 bar on 6= 13/15

Answer :-

The p/q form of the given problem is 13/15