Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{9\times -28}{7\times 18}+\frac{3}{4}\times \frac{-3}{6}-\frac{4}{9}\times \frac{38}{16}\]
Simplify \(9\times -28\) to \(-252\).
\[\frac{-252}{7\times 18}+\frac{3}{4}\times \frac{-3}{6}-\frac{4}{9}\times \frac{38}{16}\]
Simplify \(7\times 18\) to \(126\).
\[\frac{-252}{126}+\frac{3}{4}\times \frac{-3}{6}-\frac{4}{9}\times \frac{38}{16}\]
Move the negative sign to the left.
\[-\frac{252}{126}+\frac{3}{4}\times \frac{-3}{6}-\frac{4}{9}\times \frac{38}{16}\]
Simplify \(\frac{252}{126}\) to \(2\).
\[-2+\frac{3}{4}\times \frac{-3}{6}-\frac{4}{9}\times \frac{38}{16}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[-2+\frac{3\times -3}{4\times 6}-\frac{4}{9}\times \frac{38}{16}\]
Simplify \(3\times -3\) to \(-9\).
\[-2+\frac{-9}{4\times 6}-\frac{4}{9}\times \frac{38}{16}\]
Simplify \(4\times 6\) to \(24\).
\[-2+\frac{-9}{24}-\frac{4}{9}\times \frac{38}{16}\]
Move the negative sign to the left.
\[-2-\frac{9}{24}-\frac{4}{9}\times \frac{38}{16}\]
Simplify \(\frac{9}{24}\) to \(\frac{3}{8}\).
\[-2-\frac{3}{8}-\frac{4}{9}\times \frac{38}{16}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[-2-\frac{3}{8}-\frac{4\times 38}{9\times 16}\]
Simplify \(4\times 38\) to \(152\).
\[-2-\frac{3}{8}-\frac{152}{9\times 16}\]
Simplify \(9\times 16\) to \(144\).
\[-2-\frac{3}{8}-\frac{152}{144}\]
Simplify \(\frac{152}{144}\) to \(\frac{19}{18}\).
\[-2-\frac{3}{8}-\frac{19}{18}\]
Simplify.
\[-\frac{247}{72}\]
Decimal Form: -3.430556
-247/72
