Q. 2 B3.7( 22 Votes )

Express each of the following decimals in the rational form .

let x =

X = 0.575757….. -(i)

Here the periodicity of the decimal is two

So, we multiply both sides of (i) by 100 and we get

100x = 57.575757…-(ii)

Subtract (i) from (ii)

100x = 57.5757….

X = 0.5757…

99x = 57.0

(divide by 99 on both sides)

Hence =

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
On the Number line44 mins
Essentials of Rational Numbers45 mins
Quiz | Properties of Rational Numbers41 mins
Properties of Rational Numbers29 mins
Quiz | Imp Qs. on Properties of Rational Numbers45 mins
Extra Questions on Laws of Rational Numbers40 mins
Quiz | Imp. Qs. on Rational Numbers42 mins
Lets Explore the Number Line - Rational Numbers43 mins
Missing Numbers55 mins
Squares of Numbers35 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses