125/64 simplified
Understand the Problem
The question is asking to simplify the fraction 125/64 to its lowest terms, which involves dividing both the numerator and the denominator by their greatest common divisor, if applicable.
Answer
The simplified fraction is $\frac{125}{64}$.
Answer for screen readers
The simplified fraction is $\frac{125}{64}$.
Steps to Solve
- Identify the Greatest Common Divisor (GCD)
To simplify the fraction $\frac{125}{64}$, we first need to find the GCD of 125 and 64. Since 125 is $5^3$ and 64 is $2^6$, they have no common factors. Thus, the GCD is 1.
- Divide the numerator and denominator by the GCD
We divide both the numerator (125) and the denominator (64) by their GCD (1): $$ \frac{125 \div 1}{64 \div 1} = \frac{125}{64} $$
- Final Result
Since the GCD is 1, the fraction $\frac{125}{64}$ is already in its simplest form.
The simplified fraction is $\frac{125}{64}$.
More Information
The fraction $\frac{125}{64}$ is already in its lowest terms since its numerator and denominator share no common factors other than 1.
Tips
- A common mistake is misidentifying the GCD. Remember to factor each number or use methods like the Euclidean algorithm to ensure accuracy.
- Another mistake may occur by simplifying without confirming that the fraction can actually be reduced.
