Compare Fractions: Determine the Relation Between 2/3 and 8/12

To solve this problem, we'll compare the two fractions $\frac{2}{3}$ and $\frac{8}{12}$ to determine the suitable mathematical sign between them.

Step 1: Simplify the fraction $\frac{8}{12}$.

• The greatest common divisor of 8 and 12 is 4.
• Divide the numerator and the denominator of $\frac{8}{12}$ by 4:
  $\frac{8 \div 4}{12 \div 4} = \frac{2}{3}$.

Step 2: Now we compare the fractions $\frac{2}{3}$ and the simplified $\frac{8}{12} = \frac{2}{3}$.

• Since both fractions $\frac{2}{3}$ and $\frac{2}{3}$ are identical, they are equal.

Therefore, the missing sign to make the statement true is $=$, since both fractions are equivalent.

This corresponds to choice id="3".

Therefore, the solution to the problem is $=$.