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

Question

Fill in the missing sign:

52515 \frac{5}{25}☐\frac{1}{5}

Video Solution

Solution Steps

00:00 Choose the appropriate sign
00:03 We want to reduce the fraction by 5 to get a common denominator
00:09 Remember to divide both numerator and denominator
00:13 Now we have a common denominator between the fractions
00:16 We can see that the fractions are equal
00:19 And this is the solution to the question

Step-by-Step Solution

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 525 \frac{5}{25} :
- The greatest common divisor of 5 and 25 is 5.
- Divide the numerator and the denominator by 5: 525=5÷525÷5=15 \frac{5}{25} = \frac{5 \div 5}{25 \div 5} = \frac{1}{5} .
The fraction 525 \frac{5}{25} simplifies to 15 \frac{1}{5} .
The fraction 15 \frac{1}{5} stays the same as it is already in its simplest form.

Step 2: Comparison
Since both fractions simplify to 15 \frac{1}{5} , they are indeed equal.

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

Answer

= =