#### Answer

$\frac{51}{35}$

#### Work Step by Step

In order to subtract fractions with different denominators it is necessary to give them a common denominator
In this example the simplest common denominator would be 35
To give both fractions a base multiply each by 1
For $\frac{13}{7}$ multiply by $\frac{5}{5}$:
$\frac{13}{7}*\frac{5}{5} = \frac{65}{35}$
For$\frac{2}{5}$ multiply by $\frac{7}{7}$:
$\frac{2}{5}*\frac{7}{7} = \frac{14}{35}$
Now because you have given each fraction a common denominator you can subtract normally
$\frac{65}{35}-\frac{14}{35}=\frac{51}{35}$