9. (5 points) Define $a^{*} b=2 \times\left\{\frac{a}{2}\right\}+3 \times\left\{\frac{a+b}{6}\right\}$, where the symbol $\{x\}$ represents the fractional part of $x$, such as $\{2.016\}=$
0.016. Then, $1.4 * 3.2=$ $\qquad$ .【Result should be in decimal form】
【Solution】Solution:
$$
\begin{array}{l}
1.4 * 3.2 \\
=2 \times\left\{\frac{1.4}{2}\right\}+3 \times\left\{\frac{1.4+3.2}{6}\right\} \\
=2 \times\{0.7\}+3 \times\{0.76\} \\
=2 \times 0.7+3 \times \frac{76-7}{90} \\
=1.4+2.3 \\
=3.7
\end{array}
$$

Therefore, the answer is 3.7