To solve this expression, let's simplify each mixed number first:
8 7/12 = 8 + 7/12 = (8 * 12 + 7) / 12 = 96/12 + 7/12 = 103/12
2 17/36 = 2 + 17/36 = (2 * 36 + 17) / 36 = 72/36 + 17/36 = 89/36
Now, substitute these values back into the expression:
(103/12 - 89/36) * 27
To subtract fractions with different denominators, we need to find a common denominator. In this case, the least common multiple of 12 and 36 is 36.
So, we'll rewrite the expression with a common denominator:
(103/12 - 89/36) * 27 = (103/12 - (89/36) * (9/9)) * 27 = (103/12 - 801/36) * 27
Now the denominators are the same, so we can subtract the numerators:
= (103 - 801)/12 * 27 = (-698)/12 * 27
Next, multiply the numerators:
= (-698 * 27)/12
And simplify further:
= (-18846)/12 = -1570.5
Therefore, the result of the expression (8 7/12 - 2 17/36) * 27 is -1570.5.
