Compare Fractions: Determine the Correct Sign Between 5/25 and 1/5

Fill in the missing sign:

$\frac{5}{25}☐\frac{1}{5}$

To solve this problem, we'll follow these steps:

• Step 1: Simplify both fractions to their lowest terms.
• Step 2: Compare the simplified fractions.

Now, let's work through each step:

Step 1: Simplification
Simplify $\frac{5}{25}$:
- The greatest common divisor of 5 and 25 is 5.
- Divide the numerator and the denominator by 5: $\frac{5}{25} = \frac{5 \div 5}{25 \div 5} = \frac{1}{5}$.
The fraction $\frac{5}{25}$ simplifies to $\frac{1}{5}$.
The fraction $\frac{1}{5}$ stays the same as it is already in its simplest form.

Step 2: Comparison
Since both fractions simplify to $\frac{1}{5}$, they are indeed equal.

Therefore, the solution to the problem is that the missing sign is $=$.