Question

Express 0.6 + 0.7 + 0.477.. in the form p/q, where p, q are natural number, qnot equal to0

Answer 1

0.6 = 6/10

0.7 =7/10

0.477.....

let x = 0.477..........(1)
10x = 4.77.............(2)
100x = 47.77........(3)

equation (3) - (2)

=> 100x - 10x = (47.77...) - (4.77...)
=> 90x = 43
=> x = 43/90

Now,

6/10 + 7/10 + 43/90

= (54+63+43)/90

= 160/90

Answer 2

Here is your answer..

To convert the no. to a fraction rewrite the decimal as the sum of the terminal part and the repeating part. 
0.4777...= 0.4 + 0.0777... 
then the repeating part can be converted to a fraction 
0.077..=7/90 
your new fraction is 4/10 + 7/90 =43/90
now,
6/10+7/10+43/90=160/90=16/9.