Question

(-12 . 2/7 + 8/9 : 7/2 - 2/7 . 5/18 ) . 7/2

Answer 1

\(\left(-12.\frac{2}{7}+\frac{8}{9}:\frac{7}{2}-\frac{2}{7}.\frac{5}{18}\right).\frac{7}{2}\)

\(=\left(-12.\frac{2}{7}+\frac{8}{9}.\frac{2}{7}-\frac{2}{7}.\frac{5}{18}\right).\frac{7}{2}\)

\(=\left[\frac{2}{7}.\left(-12+\frac{8}{9}-\frac{5}{18}\right)\right].\frac{7}{2}\)

\(=\left(\frac{2}{7}.-\frac{205}{18}\right).\frac{7}{2}\)

\(=\left(\frac{2}{7}.\frac{7}{2}\right).-\frac{205}{18}\)

\(=1.\left(-\frac{205}{18}\right)\)

\(=\left(-\frac{205}{18}\right)\)