$\sqrt{\5}$ /6-5/4+6/20-7/8

asked by guest
on Mar 28, 2025 at 8:18 am



You asked:

Evaluate the expression: 56−54+620−78\frac{\sqrt{5}}{6} - \frac{5}{4} + \frac{6}{20} - \frac{7}{8}

MathBot Answer:

56−54+620−78=−7340+56≈−1.45232200375003505059847105521145\frac{\sqrt{5}}{6} - \frac{5}{4} + \frac{6}{20} - \frac{7}{8} = - \frac{73}{40} + \frac{\sqrt{5}}{6} \approx -1.45232200375003505059847105521145

56−54+620−78=5⋅16−54+620−78=16⋅5−54+620−78=(−54+16⋅5)+620−78=(−1920+16⋅5)−78=−7340+16⋅5\begin{aligned}\frac{\sqrt{5}}{6} - \frac{5}{4} + \frac{6}{20} - \frac{7}{8}&=\sqrt{5} \cdot \frac{1}{6} - \frac{5}{4} + \frac{6}{20} - \frac{7}{8}\\&=\frac{1}{6} \cdot \sqrt{5} - \frac{5}{4} + \frac{6}{20} - \frac{7}{8}\\&=\left(- \frac{5}{4} + \frac{1}{6} \cdot \sqrt{5}\right) + \frac{6}{20} - \frac{7}{8}\\&=\left(- \frac{19}{20} + \frac{1}{6} \cdot \sqrt{5}\right) - \frac{7}{8}\\&=- \frac{73}{40} + \frac{1}{6} \cdot \sqrt{5}\end{aligned}

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