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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

  1. Identify the Fraction
    The fraction given in the problem is $\frac{25}{50}$.

  2. 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, $\text{GCD}(25, 50) = 25$.

  3. Divide the Numerator and Denominator by the GCD
    Now we divide both the numerator and the denominator by their GCD: $$ \frac{25 \div 25}{50 \div 25} = \frac{1}{2} $$

  4. 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.
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