8. $-\frac{8}{15}-3\frac{4}{5}$

Explanation:

Step1: Convert mixed number to improper fraction

$$3\frac{4}{5}=\frac{3\times5 + 4}{5}=\frac{15 + 4}{5}=\frac{19}{5}$$

Step2: Find a common denominator

The common denominator of (15) and (5) is (15). So (\frac{19}{5}=\frac{19\times3}{5\times3}=\frac{57}{15})

Step3: Perform the subtraction

$$-\frac{8}{15}-\frac{57}{15}=\frac{-8 - 57}{15}=\frac{-65}{15}$$

Step4: Simplify the fraction

Divide numerator and denominator by (5), (\frac{-65\div5}{15\div5}=-\frac{13}{3}=- 4\frac{1}{3})

Answer:

(-4\frac{1}{3})