Question

Tính:

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

Answer 1

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

\(=\frac{7}{2}-\frac{14}{3}\cdot\left(\frac{3}{4}-\frac{7}{3}\right)-\left(\frac{5}{6}-\frac{7}{4}\right)+\frac{11}{2}-3\)

\(=\frac{7}{2}-\frac{14}{3}\cdot\left(-\frac{19}{12}\right)+\frac{11}{12}+\frac{11}{2}-3\)

\(=\frac{7}{2}+\frac{133}{198}+\frac{77}{12}-3\)

\(=\frac{3005}{396}\)