To solve this expression, we first need to convert the mixed numbers to improper fractions:
2 1\6 = 13/63 3\8 = 27/8-3 3\4 = -15/4
Therefore, the expression becomes:
(13/6 - 27/8) * 24 + 1/18 : (-15/4)
Now, calculate the subtraction in the parentheses first:
(13/6 - 27/8) = (104/48 - 162/48) = -58/48 = -29/24
Now, substitute the result back into the expression:
(-29/24) * 24 + 1/18 : (-15/4)
Now simplify the expression further:
(-29/24) 24 = -291/18 : (-15/4) = 1/18 (-4/15) = -4/270
Therefore, the final answer is:
-29 - 4/270 = -29 4/270 = -29 2/135
To solve this expression, we first need to convert the mixed numbers to improper fractions:
2 1\6 = 13/6
3 3\8 = 27/8
-3 3\4 = -15/4
Therefore, the expression becomes:
(13/6 - 27/8) * 24 + 1/18 : (-15/4)
Now, calculate the subtraction in the parentheses first:
(13/6 - 27/8) = (104/48 - 162/48) = -58/48 = -29/24
Now, substitute the result back into the expression:
(-29/24) * 24 + 1/18 : (-15/4)
Now simplify the expression further:
(-29/24) 24 = -29
1/18 : (-15/4) = 1/18 (-4/15) = -4/270
Therefore, the final answer is:
-29 - 4/270 = -29 4/270 = -29 2/135