To solve this expression, we first need to simplify each fraction:
1/6 = 4/241 1/24 = 25/242 2/7 = 16/76 2/3 = 20/33 5/9 = 32/9
So the expression becomes:
(4/24 - 25/24) * 16/7 + 20/3 : 32/9
(-21/24) * 16/7 + 20/3 ÷ 32/9
(-21/24) 16/7 + 20/3 9/32
(-7/8) * 16/7 + 60/96
-224/56 + 60/96
-4 + 5/8
Therefore, the final result is -4 5/8.
To solve this expression, we first need to simplify each fraction:
1/6 = 4/24
1 1/24 = 25/24
2 2/7 = 16/7
6 2/3 = 20/3
3 5/9 = 32/9
So the expression becomes:
(4/24 - 25/24) * 16/7 + 20/3 : 32/9
(-21/24) * 16/7 + 20/3 ÷ 32/9
(-21/24) 16/7 + 20/3 9/32
(-7/8) * 16/7 + 60/96
-224/56 + 60/96
-4 + 5/8
Therefore, the final result is -4 5/8.