### Instruction: Find $\frac{25}{4}$ divided by $\frac{1}{12}$.### Response: To divide two fractions, I can multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of $\frac{1}{12}$ is $\frac{12}{1}$, since flipping the numerator and denominator of a fraction gives its reciprocal.
So, $\frac{25}{4}$ divided by $\frac{1}{12}$ is the same as $\frac{25}{4}$ multiplied by $\frac{12}{1}$.
To multiply two fractions, I can multiply the numerators and the denominators.
So, $\frac{25}{4} \times \frac{12}{1} = \frac{25 \times 12}{4 \times 1}$.
I can simplify this fraction by canceling out any common factors between the numerator and the denominator.
I notice that 4 is a factor of both 4 and 12, so I can divide both by 4 and get $\frac{25 \times 3}{1 \times 1}$.
This simplifies to $\frac{75}{1}$, which is just 75.