To solve this expression, we need to first simplify the fractions within the parentheses.
3 1/2 : 4 2/3 = (7/2) : (14/3) = (21/6) : (28/6) = 21:28
4 2/3 : 3 1/2 = (14/3) : (7/2) = (28/6) : (21/2) = 28:63
Next, we add the two simplified fractions:
21 + 28 = 49
28 + 63 = 91
So, 49:91 is the result of the addition.
Now, we multiply the result by 4 4/5:
(49:91) 4 4/5 = (49/91) (24/5) = (1176/455) = 2 146/455
Therefore, the final answer is 2 146/455.
To solve this expression, we need to first simplify the fractions within the parentheses.
3 1/2 : 4 2/3 = (7/2) : (14/3) = (21/6) : (28/6) = 21:28
4 2/3 : 3 1/2 = (14/3) : (7/2) = (28/6) : (21/2) = 28:63
Next, we add the two simplified fractions:
21 + 28 = 49
28 + 63 = 91
So, 49:91 is the result of the addition.
Now, we multiply the result by 4 4/5:
(49:91) 4 4/5 = (49/91) (24/5) = (1176/455) = 2 146/455
Therefore, the final answer is 2 146/455.