simplify 25/50
Understand the Problem
The question is asking for the simplification of the fraction 25/50. To simplify a fraction, we find the greatest common divisor of the numerator and the denominator and divide both by that number.
Answer
The simplified fraction is $\frac{1}{2}$.
Answer for screen readers
The simplified fraction of $\frac{25}{50}$ is $\frac{1}{2}$.
Steps to Solve
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Identify the Fraction
The fraction given in the problem is $\frac{25}{50}$. -
Find the Greatest Common Divisor (GCD)
To simplify the fraction, we need to find the GCD of 25 and 50.
The factors of 25 are: 1, 5, 25
The factors of 50 are: 1, 2, 5, 10, 25, 50
The largest common factor is 25, so, $\text{GCD}(25, 50) = 25$. -
Divide the Numerator and Denominator by the GCD
Now we divide both the numerator and the denominator by their GCD: $$ \frac{25 \div 25}{50 \div 25} = \frac{1}{2} $$ -
State the Simplified Fraction
The simplified form of the fraction $\frac{25}{50}$ is $\frac{1}{2}$.
The simplified fraction of $\frac{25}{50}$ is $\frac{1}{2}$.
More Information
Simplifying fractions is a fundamental skill in mathematics. The ability to reduce fractions helps in many mathematical operations, such as addition, subtraction, and comparisons.
Tips
- A common mistake is to forget to find the GCD and just divide by a number that is less than the GCD, which results in a further reducible fraction.
- Another mistake is miscalculating the GCD, leading to incorrect simplification.
