Question

Express 0.505050... in the form $\frac{p}{q}$:

Answer 1

Step-by-step explanation:

Let x=0.50.... —1

Multiple by 100 both sides

100x=50.50...

We can also write 50.50=50+0.50

From 1=x=0.50

:we replaced 0.50by x=

100x=50+x

100x-x=50

99x=50

X=50/99

So we can write 0.50 in the form of p/q=50/99