simplify the expression.\n-10\\frac{4}{5}+8\\frac{1}{5}=

Explanation:

Step1: Convert mixed - numbers to improper fractions

$-10\frac{4}{5}=-\frac{10\times5 + 4}{5}=-\frac{54}{5}$ and $8\frac{1}{5}=\frac{8\times5+1}{5}=\frac{41}{5}$

Step2: Add the improper fractions

$-\frac{54}{5}+\frac{41}{5}=\frac{-54 + 41}{5}$

Step3: Calculate the numerator

$-54+41=-13$ So, $\frac{-54 + 41}{5}=-\frac{13}{5}$

Step4: Convert back to mixed - number

$-\frac{13}{5}=-2\frac{3}{5}$

Answer:

$-2\frac{3}{5}$