The answer is: 11/9 ; or, write as: 1 2/9 ; or, write as: 1.222222222...... .
_________________________________________________
Explanation:
____________________________
(5/6) + [ (1/3) ÷ (6/7) ] = ?
______________________
(1/3) ÷ (6/7) = (1/3) * (7/6) = (1*7)/(3*6) = 7/18
_______________________________________
So, (5/6) + [ (1/3) ÷ (6/7) ] =
___________________________
(5/6) + (7/18) = ?
___________________
5/6 = ? /18 ;
______________
6* ("3") = 18;
so 5 * 3 = 15;
__________
so , 5/6 = (15/18) ;
__________________________________________
(5/6) + (7/18) = (15/18) + (7/18) = (22/18);
_______________________________________
(22/18) = (22÷2)/(18÷2) =
11/9 ; or, write as: 1 2/9 ; or, write as: 1.222222222......
___________________________________________________
