A students was asked to find the value of $$9\frac{4}{9} \div 11\frac{1}{3}{\text{ of }}\frac{1}{6} + \left( {1\frac{1}{3} \times 1\frac{4}{5} \div \frac{3}{5}} \right) \times 2\frac{1}{6}{\text{ of }}\frac{2}{3} \div \frac{4}{3}{\text{ of }}\frac{2}{3}.$$ His answer was $$19\frac{1}{4}.$$ What is the difference between his answer and the correct answer?
A. $$7\frac{1}{2}$$
B. $$6\frac{1}{3}$$
C. $$7\frac{3}{4}$$
D. $$6\frac{2}{3}$$
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & 9\frac{4}{9} \div 11\frac{1}{3}{\text{ of }}\frac{1}{6} + \left( {1\frac{1}{3} \times 1\frac{4}{5} \div \frac{3}{5}} \right) \times 2\frac{1}{6}{\text{ of }}\frac{2}{3} \div \frac{4}{3}{\text{ of }}\frac{2}{3} \cr & = \frac{{85}}{9} \div \frac{{34}}{3}{\text{ of }}\frac{1}{6} + \left( {\frac{4}{3} \times \frac{9}{5} \div \frac{3}{5}} \right) \times \frac{{13}}{6}{\text{ of }}\frac{2}{3} \div \frac{4}{3}{\text{ of }}\frac{2}{3} \cr & = \frac{{85}}{9} \times \frac{{18}}{{34}} + \left( 4 \right) \times \frac{{13}}{9} \times \frac{9}{8} \cr & = 5 + \frac{{13}}{2} \cr & = \frac{{23}}{2} \cr & {\text{Difference of answer}} = \frac{{77}}{4} - \frac{{46}}{4} \cr & = \frac{{31}}{4} \cr & = 7\frac{3}{4} \cr} $$Related Questions on Simplification
A. 20
B. 80
C. 100
D. 200
E. None of these
A. Rs. 3500
B. Rs. 3750
C. Rs. 3840
D. Rs. 3900
E. None of these
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