Question

expree the 5.126262626...... bar in rational ​

Answer 1

let x = 5.1262626.....

multiply both sides by 10

10x = 51.262626......-----------------( i )

multiply both sides by 100

1000x = 5126.262626...... --------------( ii )

equation² - equation¹

1000x - 10x = 5126.2626..- 51.2626..

999x = 5075

x = $\frac{5075}{999}$