Question

-3\(\dfrac{1}{7}\) : { [2 + 1\(\dfrac{3}{5}\) : (\(\dfrac{4}{3}\) - 1,6)] +25%}

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Answer 1

\(-3\dfrac{1}{7}:\left\{\left[2+1\dfrac{3}{5}:\left(\dfrac{4}{3}-1,6\right)\right]+25\%\right\}\)

\(=-\dfrac{22}{7}:\left\{\left[2+\dfrac{8}{5}:\left(\dfrac{4}{3}-\dfrac{8}{5}\right)\right]+\dfrac{1}{4}\right\}\)

\(=-\dfrac{22}{7}:\left[\left(2+\dfrac{8}{5}:\left(-\dfrac{4}{15}\right)\right)+\dfrac{1}{4}\right]\)

\(=-\dfrac{22}{7}:\left(2-6+\dfrac{1}{4}\right)\)

\(=-\dfrac{22}{7}:\left(-\dfrac{15}{4}\right)\)

\(=-\dfrac{22}{7}.\dfrac{-4}{15}\)

\(=\dfrac{88}{105}\)