Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{9\times 4}{16\times 12}+\frac{9}{16}\times \frac{-3}{9}\]
Simplify \(9\times 4\) to \(36\).
\[\frac{36}{16\times 12}+\frac{9}{16}\times \frac{-3}{9}\]
Simplify \(16\times 12\) to \(192\).
\[\frac{36}{192}+\frac{9}{16}\times \frac{-3}{9}\]
Simplify \(\frac{36}{192}\) to \(\frac{3}{16}\).
\[\frac{3}{16}+\frac{9}{16}\times \frac{-3}{9}\]
Cancel \(9\).
\[\frac{3}{16}+\frac{1}{16}\times -3\]
Move the negative sign to the left.
\[\frac{3}{16}-\frac{3}{16}\]
Simplify.
\[0\]
0
