39/50 simplified fraction
The correct Answer and Explanation is:GBBBBB
The fraction 39/50 is already in its simplest form. This is because 39 and 50 have no common factors other than 1, meaning there’s no number greater than 1 that can divide both 39 and 50.
Step-by-step Explanation:
- Prime Factorization: To check if a fraction can be simplified, we begin by determining the prime factorization of both the numerator (39) and the denominator (50).
- Prime factors of 39: ( 39 = 3 \times 13 )
- Prime factors of 50: ( 50 = 2 \times 5 \times 5 )
- Look for Common Factors: To simplify a fraction, we divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD is the largest number that can divide both numbers. However, in this case, 39 and 50 have no common factors. The numerator’s prime factors (3 and 13) are different from the denominator’s prime factors (2 and 5), meaning they have no common divisors other than 1.
- Conclusion: Since there are no common factors between 39 and 50, the fraction cannot be simplified any further. Therefore, 39/50 is already in its simplest form.
Why Simplifying is Important:
In many practical situations, fractions are simplified to make them easier to work with. Simplified fractions are preferred in calculations because they reduce the risk of errors and make comparisons between fractions more straightforward. For example, if you’re working with multiple fractions, simplified versions make addition, subtraction, and comparisons easier because they are reduced to their most basic form.
In conclusion, 39/50 is already a simplified fraction, and it represents a clear, concise form that cannot be reduced any further.