Simplify \(\left(\frac{3}{4} - \frac{1}{3}\right)\times 4\frac{1}{3}\div 3\frac{1}{4}\)
A
\(\frac{5}{9}\)
B
\(\frac{5}{16}\)
C
\(\frac{8}{13}\)
D
\(\frac{16}{5}\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\((\frac{3}{4} - \frac{1}{3}) \times 4\frac{1}{3} \div 3\frac{1}{4}\)
= \((\frac{9 - 4}{12}) \times \frac{13}{3} \div \frac{13}{4}\)
= \(\frac{5}{12} \times \frac{13}{3} \times \frac{4}{13}\)
= \(\frac{5}{9}\)
Source: Myschool Past Questions Archive (Record #26570)