Question

Express 0.47777........ in p/q form.

Answer 1

Let x= 0.477 .....(i)
Or 10x= 4.777....(ii) [Multiply both side by $10$]
Subtraction equation (ii) and (i) we get,
$9x=4.3$
Or
$x=4.3/9=\mathrm{0.47777...}$

So the $\frac{p}{q}$ form is $\frac{4.3}{9}$ Or $\frac{43}{90}$