Answer:
Exact Form:[tex]\frac{233}{35}[/tex] or decimal form of 6.657142857 or mixed number of: 6[tex]\frac{23}{35}[/tex]
Step-by-step explanation:
Convert to an improper fraction: [tex]11\frac{6}{7} = \frac{83}{7}[/tex]
Convert second term as well: [tex]5\frac{1}{5} = \frac{26}{5}[/tex]
Make fractions with common denominators:
[tex]\frac{83}{7} * \frac{5}{5} - \frac{26}{5} * \frac{7}{7}[/tex] = [tex]\frac{83 * 5}{35} - \frac{26 * 7}{35}[/tex]
Combine the numerators over the common denominator:
[tex]\frac{83 * 5-26 * 7}{35} = \frac{233}{35}[/tex]
