Question

A=(4-1/4+2/3)+(5+4/3-6/5)-(6+7/4+4/5)

Answer 1

A = \(\left(4-\frac{1}{4}+\frac{2}{3}\right)+\left(5+\frac{4}{3}-\frac{6}{5}\right)-\left(6+\frac{7}{4}+\frac{4}{5}\right)\)

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

\(=\left(4+5-6\right)+\left(-\frac{1}{4}-\frac{7}{4}\right)+\left(\frac{2}{3}+\frac{4}{3}\right)+\left(-\frac{6}{5}-\frac{4}{5}\right)\)

\(=3-2+2-2\)

\(=1\)