7/32 simplified
Understand the Problem
The question is asking for the simplified form of the fraction 7/32. Since 7 and 32 do not have any common factors other than 1, the fraction is already in its simplest form.
Answer
The simplified form of the fraction is $\frac{7}{32}$.
Answer for screen readers
The simplified form of the fraction is $\frac{7}{32}$.
Steps to Solve
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Identify the Fraction The fraction we need to simplify is $\frac{7}{32}$.
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Find the Greatest Common Divisor (GCD) The next step is to check for any common factors between the numerator (7) and the denominator (32). Since 7 is a prime number, the only factors are 1 and 7 itself. The factors of 32 are 1, 2, 4, 8, 16, and 32. The only common factor is 1.
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Conclusion on Simplification Since the GCD of 7 and 32 is 1, the fraction cannot be simplified further. Thus, the fraction remains as $\frac{7}{32}$.
The simplified form of the fraction is $\frac{7}{32}$.
More Information
This fraction is already in its simplest form because the numerator and denominator do not share any common factors other than 1. It's important to recognize prime numbers like 7 which can help determine that they typically don't share factors with larger composite numbers.
Tips
- One common mistake is assuming that all fractions can be simplified without checking for common factors carefully. Always look for the GCD.
