Answer:
[tex]3k+12\frac{4}{5}[/tex]
Step-by-step explanation:
[tex](3k+12\frac{4}{5})[/tex]
Convert mixed numbers to improper fractions:
[tex]a\frac{b}{c}=\frac{a*c+b}{c}[/tex]
[tex]4\frac{1}{5}=\frac{4*5+1}{5}[/tex]
[tex]=\frac{21}{5}[/tex]
[tex]=(3k+\frac{21}{5} )+\frac{43}{5}[/tex]
Add the fractions
[tex]\frac{21}{5}+\frac{43}{5}[/tex]
[tex]\frac{21}{5} \frac{43}{5} =\frac{64}{5}[/tex]
[tex]=3k+\frac{64}{5}[/tex]
Divide 64 by 5
[tex]\frac{64}{5}[/tex][tex]12.8 or 12\frac{4}{5}[/tex]
[tex]=3k+12\frac{4}{5}[/tex]
