Question

Express 2.417417417.....as a fraction​

Answer 1

Let x= 2.417...... equation 1

multiply 1000 both sides in equation 1

1000x =2.417...×1000

=> 1000x =2417.417... equation 2

subtract equation 1 from 2 ,we get

1000x - x = 2417.417... -2.417...

=>999x =2415

=>x =2415/999