Answer: 4 [tex]\frac{14}{45}[/tex]
Step-by-step explanation:
First, put both fractions into an improper fraction. Make the denominators the same by multiplying the first fraction, [tex]\frac{64}{9}[/tex], by 5 and [tex]\frac{14}{5}[/tex] by 9.
The equation will now be [tex]\frac{320}{45}[/tex] - [tex]\frac{126}{45}[/tex] which equals [tex]\frac{194}{45}[/tex].
Simplify the evaluated fraction and you get 4 [tex]\frac{14}{45}[/tex].
