$$ \frac{\mathrm{a}}{8}=\frac{\square}{96} $$ (Simplify your answer.) Enter the correct numerator to match the new denominator.

Question

UpStudy AI · Accepted Answer

To solve the equation:

$$
\frac{a}{8} = \frac{\square}{96}
$$

we need to find the numerator that makes both fractions equal when the denominator is changed from 8 to 96.

1. **Determine the scaling factor:**
   
   $$
   \text{Scaling factor} = \frac{96}{8} = 12
   $$

2. **Apply the scaling factor to the numerator:**
   
   $$
   \text{New numerator} = a \times 12 = 12a
   $$

So, the equation becomes:

$$
\frac{a}{8} = \frac{12a}{96}
$$

**Answer:** $$12a$$
The numerator should be $$12a$$.

\( \frac{\mathrm{a}}{8}=\frac{\square}{96} \) (Simplify your answer.) Enter the correct numerator to match the new denominator.