4/49 simplified
Understand the Problem
The question is asking to simplify the fraction 4/49 to its lowest terms. To do this, we can find the greatest common divisor (GCD) of the numerator and denominator and divide both by the GCD.
Answer
The simplified form of the fraction is $\frac{4}{49}$.
Answer for screen readers
The simplified form of the fraction $\frac{4}{49}$ is $\frac{4}{49}$.
Steps to Solve
- Identify the numerator and denominator
The numerator is 4 and the denominator is 49.
- Find the GCD
To simplify the fraction, we need to find the greatest common divisor (GCD) of 4 and 49. The factors of 4 are 1, 2, and 4, and the factors of 49 are 1, 7, and 49. The only common factor is 1.
- Divide both numerator and denominator by the GCD
Since the GCD is 1, we divide both the numerator and the denominator by 1.
[ \frac{4 \div 1}{49 \div 1} = \frac{4}{49} ]
- Conclusion on the simplification
Since the GCD is 1, the fraction is already in its simplest form. So, the simplified fraction is:
[ \frac{4}{49} ]
The simplified form of the fraction $\frac{4}{49}$ is $\frac{4}{49}$.
More Information
The fraction $\frac{4}{49}$ is already in its simplest form because its numerator and denominator share no common factors other than 1.
Tips
- Ignoring the GCD: Some may overlook the importance of finding the GCD and assume the fraction can be simplified without checking for common factors.
- Assuming a factorized form: Assuming that the fraction can be simplified if the numerator is less than the denominator without checking for common factors.