What is the simplest form of 5/10?
Understand the Problem
The question is asking for the simplest form of the fraction 5/10, which involves reducing the fraction to its lowest terms by finding the greatest common divisor.
Answer
The simplest form of the fraction $\frac{5}{10}$ is $\frac{1}{2}$.
Answer for screen readers
The simplest form of the fraction $\frac{5}{10}$ is $\frac{1}{2}$.
Steps to Solve
- Identify the numerator and denominator
The fraction we are working with is $\frac{5}{10}$. Here, the numerator is 5 and the denominator is 10.
- Find the greatest common divisor (GCD)
Next, we need to find the GCD of 5 and 10. The factors of 5 are 1 and 5, while the factors of 10 are 1, 2, 5, and 10. The largest common factor is 5.
- Divide both the numerator and denominator by the GCD
Now, we can simplify the fraction by dividing both the numerator and denominator by the GCD (which is 5):
$$ \frac{5 \div 5}{10 \div 5} = \frac{1}{2} $$
- Write the simplified fraction
The simplest form of the fraction $\frac{5}{10}$ is $\frac{1}{2}$.
The simplest form of the fraction $\frac{5}{10}$ is $\frac{1}{2}$.
More Information
Reducing fractions is a fundamental skill in mathematics. A simplified fraction not only makes calculations easier but also provides a clearer understanding of the ratio being represented.
Tips
- Not finding the GCD: Some may incorrectly assume the fraction is already in simplest form without finding the GCD.
- Incorrect division: It's important to ensure that both the numerator and denominator are divided by the GCD correctly.
