Compare Fractions: Find the Missing Symbol Between 2/5 and 6/15

Fill in the missing symbol:

$\frac{2}{5}☐\frac{6}{15}$

To solve this problem, we follow these steps:

• Simplify each fraction to its simplest form.

• Compare the simplified fractions to determine their relationship.

Let's simplify the fractions:

$\frac{2}{5}$ is already in its simplest form since 2 and 5 have no common factors other than 1.

For $\frac{6}{15}$, find the greatest common factor (GCF) of 6 and 15, which is 3.

Divide both the numerator and the denominator by their GCF:

$\frac{6 \div 3}{15 \div 3} = \frac{2}{5}$

Now both fractions simplify to $\frac{2}{5}$.

Since the fractions $\frac{2}{5}$ and $\frac{2}{5}$ are equal, we use the symbol $=$.

Therefore, the correct symbol to fill in the blank is$$ = $$.