25/10 in simplest form
Understand the Problem
The question is asking for the simplification of the fraction 25/10 to its simplest form, which will involve finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it.
Answer
The simplified form of the fraction is $\frac{5}{2}$.
Answer for screen readers
The simplified form of the fraction $\frac{25}{10}$ is $\frac{5}{2}$.
Steps to Solve
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Identify the GCD To simplify the fraction $\frac{25}{10}$, we first need to find the greatest common divisor (GCD) of the numerator (25) and the denominator (10). The GCD of 25 and 10 is 5.
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Divide Numerator and Denominator by the GCD Once we have the GCD, we can simplify the fraction by dividing both the numerator and the denominator by 5.
[ \frac{25 \div 5}{10 \div 5} = \frac{5}{2} ]
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Final Result The simplified form of the fraction $\frac{25}{10}$ is $\frac{5}{2}$.
The simplified form of the fraction $\frac{25}{10}$ is $\frac{5}{2}$.
More Information
When you simplify a fraction, you're essentially reducing it to its smallest possible form. The GCD helps determine how much you can divide both parts of the fraction. In this case, 25 and 10 share a common factor of 5.
Tips
- Mistake: Not finding the GCD correctly. Avoid this by listing the factors of both the numerator and the denominator to identify the largest one.
- Mistake: Forgetting to divide both the numerator and the denominator by the GCD. Remember, both parts of the fraction must be divided to maintain the equality.
