1. (10 points) The value of the expression $\frac{46}{75} \div\left(\frac{5}{12}+\frac{11}{15}\right)-\frac{7}{30}$ is $\qquad$
【Analysis】First calculate the addition inside the parentheses, then perform the division outside the parentheses, and finally the subtraction, thus solving the problem.
【Solution】Solution: $\frac{46}{75} \div\left(\frac{5}{12}+\frac{11}{15}\right)-\frac{7}{30}$,
$$
\begin{array}{l}
=\frac{46}{75} \div \frac{23}{20}-\frac{7}{30} \\
=\frac{8}{15}-\frac{7}{30} \\
=\frac{3}{10}
\end{array}
$$

Therefore, the answer is: $\frac{3}{10}$.