Simplify \(\frac{3\frac{2}{3} \times \frac{5}{6} \times \frac{2}{3}}{\frac{11}{15} \times \frac{3}{4} \times \frac{2}{27}}\)
A
\(5\frac{2}{3}\)
B
30
C
\(4\frac{1}{3}\)
D
50
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(\frac{3\frac{2}{3} \times \frac{5}{6} \times \frac{2}{3}}{\frac{11}{15} \times \frac{3}{4} \times \frac{2}{27}}\)
\(\frac{\frac{11}{3} \times \frac{5}{6} \times \frac{2}{3}}{\frac{11}{15} \times \frac{3}{4} \times \frac{2}{27}}\)
\(\frac{110}{54} \div \frac{66}{1620}\)
50
Source: Myschool Past Questions Archive (Record #27413)