6/20 in simplest form
Understand the Problem
The question is asking to simplify the fraction 6/20 to its lowest terms. This involves finding the greatest common divisor of 6 and 20 and dividing both the numerator and the denominator by that number.
Answer
The simplified form of the fraction is $\frac{3}{10}$.
Answer for screen readers
The simplified form of the fraction $\frac{6}{20}$ is $\frac{3}{10}$.
Steps to Solve
- Find the Greatest Common Divisor (GCD)
To simplify the fraction, we first need to find the GCD of the numerator (6) and the denominator (20).
The factors of 6 are: 1, 2, 3, 6
The factors of 20 are: 1, 2, 4, 5, 10, 20
The largest common factor is 2, so the GCD is 2.
- Divide the Numerator and Denominator by the GCD
Next, we'll divide both the numerator (6) and the denominator (20) by the GCD (2).
For the numerator:
$$ \frac{6}{2} = 3 $$
For the denominator:
$$ \frac{20}{2} = 10 $$
- Write the Simplified Fraction
Now we can write the simplified fraction using the results from the previous step.
The simplified form of the fraction is:
$$ \frac{3}{10} $$
The simplified form of the fraction $\frac{6}{20}$ is $\frac{3}{10}$.
More Information
Simplifying fractions can help in various mathematical operations, such as addition or subtraction of fractions, and makes calculations easier!
Tips
- Mistaking GCD for the factors of the fraction - always ensure to check the largest common factor.
- Failing to apply the GCD equally to both the numerator and denominator - remember to simplify both parts by the same GCD.
