Simplify: \(\frac{3}{4} \div 1\frac{1}{4} \times (1\frac{1}{2} - \frac{2}{3})\)
A
7/30
B
7/24
C
9/25
D
1/2
E
18/25
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(\frac{3}{4} \div 1\frac{1}{4} \times (1\frac{1}{2} - \frac{2}{3})\)
\(\frac{3}{4} \div \frac{5}{4} \times (\frac{9 - 4}{6})\)
= \(\frac{3}{4} \times \frac{4}{5} \times \frac{5}{6}\)
= \(\frac{1}{2}\)
Source: Myschool Past Questions Archive (Record #23188)