What is 5/10 in simplest form?
Understand the Problem
The question is asking to simplify the fraction 5/10 to its lowest terms. This can be achieved by finding the greatest common divisor of the numerator and denominator and dividing both by it.
Answer
The simplified fraction is $\frac{1}{2}$.
Answer for screen readers
The simplified fraction is $\frac{1}{2}$.
Steps to Solve
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Identify the numerator and denominator The given fraction is $\frac{5}{10}$, where 5 is the numerator and 10 is the denominator.
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Find the greatest common divisor (GCD) To simplify the fraction, we need to find the GCD of 5 and 10. The factors of 5 are (1, 5) and the factors of 10 are (1, 2, 5, 10). The GCD is 5.
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Divide both numerator and denominator by the GCD Now, divide both the numerator and the denominator by their GCD (5):
$$ \frac{5 \div 5}{10 \div 5} = \frac{1}{2} $$
- Write the simplified fraction The simplified form of the fraction $\frac{5}{10}$ is $\frac{1}{2}$.
The simplified fraction is $\frac{1}{2}$.
More Information
When simplifying fractions, the goal is to reduce them to their simplest form, where the numerator and denominator share no common factors other than 1. Here, we reduced the fraction from $\frac{5}{10}$ to $\frac{1}{2}$.
Tips
- Not finding the correct GCD: Ensure you check all factors of both numbers.
- Failing to divide both numerator and denominator: Always perform this step to ensure you simplify correctly.
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