Question

6.1977777........ the following in the form of p/q​

Answer 1

Let x= 6.1977...

The number of recurring digits=1

⇒10x= 61.9777...= 55.78+6.19777...= 55.78+x

⇒10x-x= 9x= 55.78

∴x= $\frac{55.78}{9}$= $\frac{5578}{900}$