Select the option that expresses $$5.\overline6$$​ as a fraction.

Correct option is A

Given:

Number = 5.$$\bar6$$

Concept Used:

​$$a.\bar b= a + \frac {b}{9}$$

Solution:

5.$$\bar6$$ = 5 + $$\frac 69$$ =$$\frac {45+ 6}9$$= $$\frac {51}{9}$$

Alternate Method:

Let x = 5.$$\bar6$$     .....(1)

Multiply by 10,

10 x = 56.$$\bar 6$$       ......(2)

Substracting equation 1 by 2 , we have

9 x =51

x =$$\frac {51}{9}$$​​