### Instruction: Simplify $\frac{64}{7}\div\frac{8}{3}$.### Response: To simplify a fraction divided by another fraction, I can use the rule that dividing by a fraction is the same as multiplying by its reciprocal.
That means I can rewrite the problem as $\frac{64}{7}\times\frac{3}{8}$.
Now, to multiply fractions, I can multiply the numerators and the denominators.
That gives me $\frac{64\times 3}{7\times 8}=\frac{192}{56}$.
But this fraction is not in lowest terms, because both the numerator and the denominator are divisible by 8.
So, I can simplify the fraction by dividing both the numerator and the denominator by 8.
That gives me $\frac{192}{56}=\frac{192\div 8}{56\div 8}=\frac{24}{7}$.
This is the simplest form of the fraction, so I am done.