simplify 26/39
Understand the Problem
The question is asking us to simplify the fraction 26/39 to its lowest terms.
Answer
The simplified fraction is $\frac{2}{3}$.
Answer for screen readers
The simplified fraction of $\frac{26}{39}$ is $\frac{2}{3}$.
Steps to Solve
- Identify the GCD (Greatest Common Divisor)
To simplify the fraction $\frac{26}{39}$, we need to find the GCD of the numerator (26) and the denominator (39). The GCD is the largest number that divides both numbers without leaving a remainder.
- Finding the GCD of 26 and 39
The factors of 26 are 1, 2, 13, and 26.
The factors of 39 are 1, 3, 13, and 39.
The common factors are 1 and 13, so the GCD is 13.
- Divide both the numerator and the denominator by the GCD
Now we divide both the numerator and the denominator by 13:
$$ \frac{26 \div 13}{39 \div 13} = \frac{2}{3} $$
- Final Simplified Fraction
Now we've simplified the fraction $\frac{26}{39}$ to its lowest terms, which is $\frac{2}{3}$.
The simplified fraction of $\frac{26}{39}$ is $\frac{2}{3}$.
More Information
Simplifying fractions is an essential skill in mathematics, helping to make calculations easier and results clearer. The process often involves finding the GCD, which is a key concept in number theory.
Tips
- Forgetting to divide both the numerator and the denominator by the GCD.
- Not calculating the GCD correctly can lead to incorrect simplifications.
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