Simplify \(5\frac{1}{4}\div \left(1\frac{2}{3}- \frac{1}{2}\right)\)
A
\(1\frac{3}{4}\)
B
\(3\frac{1}{2}\)
C
\(4\frac{1}{2}\)
D
\(8\frac{1}{2}\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(5\frac{1}{4}\div \left(1\frac{2}{3}- \frac{1}{2}\right)\\
\frac{21}{4}\div \left(1\frac{4-3}{6}\right)\\
\frac{21}{4}\div \left(1\frac{1}{6}\right)\\
\frac{21}{4} \times \frac{6}{7}= 4\frac{1}{2}\)
Source: Myschool Past Questions Archive (Record #26522)