Answer:Final answer is [tex]\frac{157}{15} [/tex]Step-by-step explanation:Given expression is [tex]\frac{4}{5} +6-\frac{3}{9} +4[/tex]Now we need to simplify that.[tex]\frac{4}{5} +6-\frac{3}{9} +4[/tex][tex]=\frac{4}{5}+6-\frac{1}{3}+4 [/tex][tex]=\frac{4}{5}-\frac{1}{3}+10 [/tex][tex]=\frac{4}{5}\cdot\frac{3}{3}-\frac{1}{3}\cdot\frac{5}{5}+10\cdot\frac{15}{15} [/tex][tex]=\frac{12}{15}-\frac{5}{15}+\frac{150}{15} [/tex][tex]=\frac{12-5+150}{15} [/tex][tex]=\frac{7+150}{15} [/tex][tex]=\frac{157}{15} [/tex]Hence final answer is [tex]\frac{157}{15} [/tex]