Fill in the missing sign:
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Fill in the missing sign:
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Simplification
Simplify :
- The greatest common divisor of 5 and 25 is 5.
- Divide the numerator and the denominator by 5: .
The fraction simplifies to .
The fraction stays the same as it is already in its simplest form.
Step 2: Comparison
Since both fractions simplify to , they are indeed equal.
Therefore, the solution to the problem is that the missing sign is .
Fill in the missing sign:
\( \frac{5}{25}☐\frac{1}{5} \)
Look for common factors in the numerator and denominator. If both can be divided by the same number (like 5 in this problem), then simplify!
Don't worry! Fractions like and can be equivalent even though they look different. Always simplify to see their true relationship.
List the factors of both numbers and find the largest one they share. For 5 and 25: factors of 5 are {1, 5}, factors of 25 are {1, 5, 25}, so GCD = 5.
Yes! and , so they're equal. But simplifying fractions is usually faster and more accurate.
If there's no common factor other than 1, the fraction is already in simplest form. Like - it can't be simplified further!
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