Simplify: (3\(\frac{1}{2} + 4\frac{1}{3}) \div (\frac{5}{6} - \frac{2}{3}\))
A
1\(\frac{1}{4}\)
B
8\(\frac{1}{2}\)
C
35
D
47
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
(3\(\frac{1}{2} + 4\frac{1}{3}) \div (\frac{5}{6} - \frac{2}{3}\)) = (7\(\frac{3 + 2}{6}) \div \frac{(5 - 4)}{6}\)
7\(\frac{5}{6} \div \frac{1}{6} = \frac{47}{6} \times \frac{6}{1}\) = 47
Source: Myschool Past Questions Archive (Record #36428)