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Simplify ​{(1636)÷(1610)}÷(27×146+512)+104÷3917 of 174\left\{ \left( \frac{16}{36} \right) \div \left( \frac{16}{10} \right) \right\} \div
Question

Simplify

{(1636)÷(1610)}÷(27×146+512)+104÷3917 of 174\left\{ \left( \frac{16}{36} \right) \div \left( \frac{16}{10} \right) \right\} \div \left( \frac{2}{7} \times \frac{14}{6} + \frac{5}{12} \right) + \frac{10}{4} \div \frac{39}{17} \text{ of } \frac{17}{4}​​

A.

1935 \frac{19}{35}​​

B.

1439 \frac{14}{39}​​

C.

2039 \frac{20}{39}​​

D.

3034 \frac{30}{34}​​

Correct option is C

{(1636)÷(1610)}÷(27×146+512)+104÷3917 of 174\left\{ \left( \frac{16}{36} \right) \div \left( \frac{16}{10} \right) \right\} \div \left( \frac{2}{7} \times \frac{14}{6} + \frac{5}{12} \right) + \frac{10}{4} \div \frac{39}{17} \text{ of } \frac{17}{4}

{1636×1016}÷(23+512)+104÷3917 of 174\left\{ \frac{16}{36} \times\frac{10}{16} \right\} \div \left( \frac{2}{3} + \frac{5}{12} \right) + \frac{10}{4} \div \frac{39}{17} \text{ of } \frac{17}{4}

{1036}÷(1312)+104÷3917 of 174\left\{ \frac{10}{36} \right\} \div \left( \frac{13}{12} \right) + \frac{10}{4} \div \frac{39}{17} \text{ of } \frac{17}{4}

1036×1213+104÷3917of174 \frac{10}{36} \times \frac{12}{13} + \frac{10}{4} \div \frac{39}{17} \text{of} \frac{17}{4}

1039+104÷3917×174 \frac{10}{39} + \frac{10}{4} \div \frac{39}{17}\times \frac{17}{4}

1039+104÷394 \frac{10}{39} + \frac{10}{4} \div \frac{39}{4}

1039+104×439 \frac{10}{39} + \frac{10}{4} \times \frac{4}{39}

1039+1039 \frac{10}{39} + \frac{10}{39}

10+1039 \frac{10+10}{39}

2039 \frac{20}{39}

Thus, the correct answer is (c).

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