24/20 simplified
Understand the Problem
The question is asking to simplify the fraction 24/20. This involves finding the greatest common divisor of the numerator and denominator and dividing both by that number to get the simplest form of the fraction.
Answer
The simplified form of the fraction is \( \frac{6}{5} \).
Answer for screen readers
The simplified form of the fraction ( \frac{24}{20} ) is ( \frac{6}{5} ).
Steps to Solve
- Find the greatest common divisor (GCD)
To simplify the fraction ( \frac{24}{20} ), we first need to find the GCD of the numerator (24) and the denominator (20). The GCD is the largest number that divides both numbers.
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.
The factors of 20 are: 1, 2, 4, 5, 10, 20.
The largest common factor from both sets is 4.
- Divide the numerator and denominator by the GCD
Now that we have the GCD, we can simplify the fraction by dividing both the numerator and the denominator by 4.
$$ \frac{24}{20} = \frac{24 \div 4}{20 \div 4} $$
This gives us:
$$ \frac{6}{5} $$
- Write the final simplified fraction
The fraction ( \frac{24}{20} ) simplified is ( \frac{6}{5} ). This means the simplest form of the fraction is ( \frac{6}{5} ).
The simplified form of the fraction ( \frac{24}{20} ) is ( \frac{6}{5} ).
More Information
The final fraction ( \frac{6}{5} ) is an improper fraction because the numerator is larger than the denominator. This means it can also be expressed as a mixed number: ( 1 \frac{1}{5} ).
Tips
- Not finding the GCD correctly: Double-check the factors of both numbers.
- Forgetting to simplify both the numerator and denominator by the GCD.