9. $-9\frac{7}{10}-(-4\frac{3}{5})$

Explanation:

Step1: Change subtraction of negative to addition

$-9\frac{7}{10}-(-4\frac{3}{5})=-9\frac{7}{10}+4\frac{3}{5}$

Step2: Convert mixed - numbers to improper fractions

$-9\frac{7}{10}=-\frac{9\times10 + 7}{10}=-\frac{97}{10}$ and $4\frac{3}{5}=\frac{4\times5+3}{5}=\frac{23}{5}$

Step3: Make common denominator

$\frac{23}{5}=\frac{23\times2}{5\times2}=\frac{46}{10}$

Step4: Perform addition

$-\frac{97}{10}+\frac{46}{10}=\frac{-97 + 46}{10}=-\frac{51}{10}=-5\frac{1}{10}$

Answer:

$-5\frac{1}{10}$