\( \Large \frac{\left[ 3\frac{1}{4} \div \{ 1\frac{1}{4}-0.5 \left(2\frac{1}{2}-\overline{\frac{1}{4}-\frac{1}{6}}\right) \} \right]}{4 \times \frac{1}{2}} \)

A) 245

B) 233

C) 234

D) 299

Correct answer:
C) 234

Description for Correct answer:
\( \Large \frac{\left[\frac{13}{4}+\{ \frac{5}{4}-\frac{1}{2} \left(\frac{5}{2}-\frac{3-2}{12}\right) \} \right]}{4 \times \frac{1}{12}} \)

\( \Large \frac{\left[\frac{13}{4}+\{ \frac{5}{4}-\frac{1}{2} \left(\frac{5}{2}-\frac{1}{12}\right) \} \right]}{ \frac{1}{3}} \)

\( \Large \frac{\left[\frac{13}{4}+\{ \frac{5}{4}-\frac{1}{2} \left(\frac{30-1}{12}\right) \} \right]}{ \frac{1}{3}} \)

\( \Large \frac{\left[ \frac{13}{4}+\{ \frac{5}{4}-\frac{29}{24} \} \right]}{\frac{1}{3}} \)

\( \Large \frac{\left[ \frac{13}{4}+\{ \frac{30-29}{24} \} \right]}{\frac{1}{3}} = \frac{\left[ \frac{13}{4}+\frac{1}{24} \right]}{\frac{1}{3}} \)

\( \Large \frac{13}{4} \times 24 \times 3 = 13 \times 18 = 234 \)


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