Question : The value of $1 \frac{3}{4}+1 \frac{5}{7} \div 2 \frac{3}{7} \times 2 \frac{3}{7}=$?
Option 1: $1 \frac{11}{28}$
Option 2: $2 \frac{13}{28}$
Option 3: $3 \frac{13}{28}$
Option 4: $4 \frac{23}{28}$
Correct Answer: $3 \frac{13}{28}$
Solution :
Given: $1 \frac{3}{4}+1 \frac{5}{7} \div 2 \frac{3}{7} \times 2 \frac{3}{7}$
= $ \frac{7}{4}+ \frac{12}{7} \div \frac{17}{7} \times \frac{17}{7}$
= $ \frac{7}{4}+ \frac{12}{7} \times \frac{7}{17} \times \frac{17}{7}$
= $ \frac{7}{4}+ \frac{12}{7}=\frac{97}{28}=3\frac{13}{28}$
Hence, the correct answer is $3\frac{13}{28}$.
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