化简 ((1/2+5/4)/(1/3))+(2/3*6/7)

解答

化简

(\frac{\frac{1}{2} + \frac{5}{4}}{\frac{1}{3}}) + (\frac{2}{3} \cdot \frac{6}{7})

\frac{163}{28}

十进制

5.82142 \dots

求解步骤

(\frac{\frac{1}{2} + \frac{5}{4}}{\frac{1}{3}}) + (\frac{2}{3} \cdot \frac{6}{7})

(\frac{\frac{1}{2} + \frac{5}{4}}{\frac{1}{3}}) + (\frac{2}{3} \cdot \frac{6}{7}) = \frac{\frac{1}{2} + \frac{5}{4}}{\frac{1}{3}} + \frac{2}{3} \cdot \frac{6}{7}

= \frac{\frac{1}{2} + \frac{5}{4}}{\frac{1}{3}} + \frac{2}{3} \cdot \frac{6}{7}

\frac{\frac{1}{2} + \frac{5}{4}}{\frac{1}{3}} = \frac{21}{4}

\frac{2}{3} \cdot \frac{6}{7} = \frac{4}{7}

= \frac{21}{4} + \frac{4}{7}

\frac{21}{4} + \frac{4}{7} = \frac{163}{28}

= \frac{163}{28}

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