This question is taken from real numbers in which we have given a number 0.4(bar on 4) and we have to show that the given number is a rational number in its simplest form.
Kindly solve the above problem in details
RS Aggarwal, Class 10, chapter 1E, question no 10
Let x=0.4(bar on 4)…(i)
multiply by 10 on both sides-
10x=4.4(bar on 4)….(ii)
Subtract the equation (i) from (ii)
⇒9x=4
So, x=4/9
Simplest form of 0.4(bar on 4) as a rational number is 4/9.