We need to sum a mixed number with a whole number.
First, convert the mixed number into a fraction.
[tex]1\frac{4}{6}=\frac{1}{1}+\frac{4}{6}=\frac{6+4}{6}=\frac{10}{6}=\frac{5}{3}[/tex]Hence:
[tex]1\frac{4}{6}=\frac{5}{3}[/tex]Now, we can add up to the fraction with the whole number:
[tex]\frac{5}{3}+3=\frac{5}{3}+\frac{3}{1}=\frac{5+9}{3}=\frac{14}{3}[/tex]Hence, the result is:
[tex]1\frac{4}{6}+3=\frac{14}{3}[/tex]