Answer:
[tex]7\frac{19}{21}[/tex]
Step-by-step explanation:
We want to subtract [tex]5\frac{5}{21}[/tex] from [tex]13\frac{1}{7}[/tex].
In other words we want to perform the operation;
[tex]13\frac{1}{7}-5\frac{5}{21}[/tex]
We change the mixed numbers to improper fraction
[tex]\frac{92}{7}-\frac{110}{21}[/tex]
The least common denominator is 21.
We collect the least common denominator to obtain;
[tex]\frac{3\times92-110}{21}[/tex]
[tex]\frac{276-110}{21}[/tex]
[tex]\frac{166}{21}=7\frac{19}{21}[/tex]