Question

use multiplication to generate an equivalent fraction. enter the correct numbers in the boxes. show hints \\(\frac{2}{3} = \frac{\square \times 2}{\square \times 3} = \frac{\square}{12}\\)

Explanation:

Step1: Find the multiplier for denominator

We know $3 \times n = 12$, so solve for $n$:
$n = \frac{12}{3} = 4$

Step2: Fill top and bottom boxes

To get an equivalent fraction, multiply numerator and denominator by the same number (4):
$\frac{4 \times 2}{4 \times 3}$

Step3: Calculate new numerator

Compute $4 \times 2 = 8$

Answer:

The top and bottom empty boxes (first fraction) are both 4, and the final numerator is 8. So filled in:
$\frac{2}{3} = \frac{4 \times 2}{4 \times 3} = \frac{8}{12}$