Question

$4.272727$ is the recurring decimal fraction of which vulgar fraction?

Answer 1

Let, $x=4.272727=4.\overline{27}$.........(1)

$\therefore 100x=427.2727=427.\overline{27}$.........(2)

Now, subtracting (1) from (2) we get

$99x=423$

$x=\frac{423}{99}$

This is the required vulgar fraction