Answer:
[tex]\dfrac{59}{15}=3 \frac{14}{15}[/tex]
Step-by-step explanation:
Convert the mixed number into an improper fraction:
[tex]3 \frac35=\dfrac{3\times5+3}{5}=\dfrac{18}{5}[/tex]
Now convert fractions so that their denominators are the same:
[tex]\implies \dfrac{18}{5}+\dfrac13=\dfrac{18\times3}{5\times3}+\dfrac{1 \times5}{3 \times 5}=\dfrac{54}{15}+\dfrac{5}{15}[/tex]
As the denominators are now the same, we can simply add the numerators:
[tex]\implies \dfrac{54}{15}+\dfrac{5}{15}= \dfrac{54+5}{15}=\dfrac{59}{15}[/tex]
Now convert back into a mixed number (if required):
[tex]\implies \dfrac{59}{15}=3 \frac{14}{15}[/tex]
