20/14 simplified
Understand the Problem
The question is asking for the simplification of the fraction 20/14. To solve this, we need to divide both the numerator and the denominator by their greatest common divisor (GCD).
Answer
The simplified fraction is $\frac{10}{7}$.
Answer for screen readers
The simplified fraction is $\frac{10}{7}$.
Steps to Solve
- Find the GCD of 20 and 14
To simplify the fraction, we first need to find the greatest common divisor (GCD) of the numerator (20) and the denominator (14). The GCD of two numbers is the largest number that divides both of them without leaving a remainder.
The factors of 20 are: 1, 2, 4, 5, 10, 20
The factors of 14 are: 1, 2, 7, 14
The common factors are: 1, 2
Thus, the GCD is 2.
- Divide the numerator and the denominator by the GCD
Now that we have determined the GCD, we divide both the numerator and denominator by it:
Numerator: $$ \frac{20}{2} = 10 $$
Denominator: $$ \frac{14}{2} = 7 $$
- Write the simplified fraction
After performing the division, we can write the simplified fraction:
$$ \frac{20}{14} = \frac{10}{7} $$
The simplified fraction is $\frac{10}{7}$.
More Information
When simplifying fractions, it's essential to express them in their lowest terms. The simplified form $\frac{10}{7}$ is an improper fraction, which means the numerator is larger than the denominator.
Tips
- A common mistake is to forget to divide both the numerator and denominator by the GCD.
- Another mistake is miscalculating the GCD.
