Answer
$-\frac{22}{45}$
Work Step by Step
$-\frac{7}{30}+\frac{2}{45}-\frac{3}{10}=-\frac{7\times3}{30\times3}+\frac{2\times2}{45\times2}-\frac{3\times9}{10\times9}=-\frac{21}{90}+\frac{4}{90}-\frac{27}{90}=\frac{-21+4-27}{90}=\frac{-44}{90}=-\frac{44}{90}$
Further simplification:
$-\frac{44}{90}=-\frac{44\div2}{90\div2}=-\frac{22}{45}$