30/28 simplified
Understand the Problem
The question is asking for the simplification of the fraction 30/28. This involves finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by that number to simplify the fraction to its lowest terms.
Answer
The simplified fraction is $\frac{15}{14}$.
Answer for screen readers
The simplified form of the fraction $\frac{30}{28}$ is $\frac{15}{14}$.
Steps to Solve
- Find the GCD of 30 and 28
To simplify the fraction, we first need to find the greatest common divisor (GCD) of the numbers 30 and 28. The GCD of two numbers is the largest number that divides both of them without leaving a remainder.
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
The factors of 28 are: 1, 2, 4, 7, 14, 28
The common factors are: 1, 2.
Thus, the GCD is 2.
- Divide the numerator and denominator by the GCD
Now, we simplify the fraction by dividing both the numerator (30) and denominator (28) by the GCD (2):
$$ \frac{30 \div 2}{28 \div 2} = \frac{15}{14} $$
- Write the simplified fraction
The simplified fraction is $\frac{15}{14}$.
The simplified form of the fraction $\frac{30}{28}$ is $\frac{15}{14}$.
More Information
When simplifying fractions, it is important to always divide both the numerator and denominator by their GCD. The fraction $\frac{15}{14}$ cannot be simplified further as there are no common factors between 15 and 14 other than 1.
Tips
- Forgetting to find the GCD: Always remember to find the GCD before simplifying.
- Dividing incorrectly: Ensure you accurately perform division on both the numerator and denominator.