Question

add -2/5×15/4 by the reciprocal of 4/13×-3 9/5​

Answer 1

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Add $\frac{ - 2}{5} \times \frac{15}{4}$ by the reciprocal of $\frac{4}{13} \times \frac{-39}{5}$

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$\frac{ - 2}{5} \times \frac{15}{4} \\ \\ \frac{ - 1}{1} \times \frac{3}{2} \\ \\ \frac{ - 3}{2}$

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$\frac{4}{13} \times \frac{ - 39}{5} \\ \\ 4 \times \frac{ - 3}{5} \\ \\ \frac{ - 12}{5}$

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Reciprocal Of $\frac{ - 12}{5} \: is \: \frac{ - 5}{12}$

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$\frac{ - 3}{2} + \frac{ - 5}{12} \\ \\ \frac{ - 18 - 5}{12} \\ \\ \frac{ - 23}{12}$

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Therefore, the required answer is $\frac{ - 23}{12}$