50/18 simplified
Understand the Problem
The question is asking to simplify the fraction 50/18, which involves dividing both the numerator and the denominator by their greatest common divisor.
Answer
The simplified form of the fraction is $\frac{25}{9}$.
Answer for screen readers
The simplified form of the fraction $\frac{50}{18}$ is $\frac{25}{9}$.
Steps to Solve
- Find the Greatest Common Divisor (GCD)
To simplify the fraction $\frac{50}{18}$, we first need to find the GCD of 50 and 18. The factors of 50 are 1, 2, 5, 10, 25, and 50. The factors of 18 are 1, 2, 3, 6, 9, and 18. The largest factor that both numbers share is 2.
- Divide the Numerator and Denominator by the GCD
Now we divide both the numerator (50) and the denominator (18) by their GCD, which is 2.
$$ \frac{50 \div 2}{18 \div 2} = \frac{25}{9} $$
- State the Simplified Fraction
After performing the division, we can see that the simplified fraction is $\frac{25}{9}$.
The simplified form of the fraction $\frac{50}{18}$ is $\frac{25}{9}$.
More Information
The simplification of fractions involves finding the GCD to make numbers smaller, making calculations easier. The resulting fraction $\frac{25}{9}$ is in its simplest form and cannot be reduced further.
Tips
- A common mistake is to overlook the GCD and incorrectly simplify the fraction, leading to a wrong answer. Always ensure you find the GCD before simplifying.
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