20/6 in simplest form
Understand the Problem
The question is asking to simplify the fraction 20/6 to its lowest terms by finding the greatest common divisor (GCD) of the numerator and denominator.
Answer
The simplified fraction is $\frac{10}{3}$.
Answer for screen readers
The simplified fraction is $\frac{10}{3}$.
Steps to Solve
- Identify the numerator and denominator
The given fraction is $\frac{20}{6}$, where 20 is the numerator and 6 is the denominator.
- Find the Greatest Common Divisor (GCD)
To simplify the fraction, we need to find the GCD of 20 and 6. The factors of 20 are 1, 2, 4, 5, 10, and 20. The factors of 6 are 1, 2, 3, and 6. The greatest common factor is 2.
- Divide both the numerator and denominator by the GCD
Now, we can simplify the fraction by dividing the numerator and denominator by their GCD:
$$ \frac{20 \div 2}{6 \div 2} = \frac{10}{3} $$
- State the simplified fraction
The lowest terms of the fraction $\frac{20}{6}$ are $\frac{10}{3}$.
The simplified fraction is $\frac{10}{3}$.
More Information
The process of simplifying fractions helps in making calculations easier and clearer. Expressing a fraction in its lowest terms can be useful in many mathematical applications.
Tips
- Not checking for the GCD correctly, which may lead to incorrect simplifications.
- Forgetting to simplify both the numerator and denominator by the GCD, resulting in an unsimplified fraction.
