Answer:
[tex]\frac{19}{35}[/tex]
Step-by-step explanation:
in order to add fractions, they must have the same denominator.
to get the same denominator you can multiply both fractions to get the same number on the bottom
the LCD of 5 and 7 is 35 so you do
[tex]\frac{1}{7}[/tex] · [tex]\frac{5}{5}[/tex] which equals [tex]\frac{5}{35}[/tex]
and
[tex]\frac{2}{5}[/tex] · [tex]\frac{7}{7}[/tex] which equals [tex]\frac{14}{35}[/tex]
now you can add
[tex]\frac{5}{35} +\frac{14}{35} = \frac{19}{35}[/tex]
