Question

Evaluate: $8-8\times \frac{2\frac{1}{5}-1\frac{2}{7}}{2-\frac{1}{6-\frac{1}{6}}}$

Answer 1

Given $8-8\times \frac{2\frac{1}{5}-1\frac{2}{7}}{2-\frac{1}{6-\frac{1}{6}}}$

$=8-8\times \frac{\frac{11}{5}-\frac{9}{7}}{2-\frac{1}{\frac{35}{6}}}$

$=8-8\times \frac{\frac{77-45}{35}}{2-\frac{6}{35}}$

$=8-8+\frac{\frac{32}{35}}{\frac{64}{35}}=8-8(\frac{32}{35}\times \frac{35}{64})$

$=8-8\times \frac{1}{2}$

$=8-4=4$