Question

Express 0.585 bar in the form p/q where p and q are integers and q not equal to 0.

Answer 1

Hey there !

Solution:

Let the given number be 'x'

=> x = 0.58555.. => Equation 1

Multiplying 1000 on both sides,

=> 1000 x = 585.555... => Equation 2

Now Equation 2 must be subtracted from Equation 1. Hence we get,

=> 1000 x - x = 585.555.. - 0.585..

=> 999 x = 584.97

=> x = 584.97 / 999

Multiplying 100 to both the numerator and denominator we get,

=> x = 58497 / 99900

Simplifying we get,

=> x = 19499 / 33300

Hence the p/q form is 19499 / 33300.

Hope my answer helped !

Answer 2

Answer:

Hence the p/q form is 19499 / 33300. Hope my answer helped