Compare Fractions: Determine if 2/7 >, <, or = 6/21

Fill in the missing sign:

$\frac{2}{7}☐\frac{6}{21}$

To solve this problem, let's follow these steps:

• Step 1: Simplify the fraction $\frac{6}{21}$.
• Step 2: Compare the fractions $\frac{2}{7}$ and the simplified form of $\frac{6}{21}$.

Now, let's carry out these steps:

Step 1: Simplify $\frac{6}{21}$.
To simplify $\frac{6}{21}$, we find the greatest common divisor (GCD) of 6 and 21, which is 3. Dividing the numerator and the denominator by their GCD, we get:

$\frac{6 \div 3}{21 \div 3} = \frac{2}{7}$.

Step 2: Now, compare $\frac{2}{7}$ with the simplified form of $\frac{6}{21}$, which is also $\frac{2}{7}$. Thus, we have:

$\frac{2}{7} = \frac{2}{7}$.

Therefore, the missing sign between the fractions $\frac{2}{7}$ and $\frac{6}{21}$ is $=$.