Comprehensive Calculator Guide
Simplifying a fraction means writing it with the smallest numerator and denominator possible, by dividing both by their greatest common divisor. 18/24 divides by 6 to give 3/4. Enter the numerator and denominator to get the lowest terms, the GCD, the mixed number and the decimal.
Using the greatest common divisor
The GCD is the largest number that divides both parts with no remainder. For 18 and 24 it is 6, so one division takes you straight to 3/4. Dividing by 2 only gives 9/12, which is simpler but not the simplest.
A fraction is in lowest terms when the GCD of its parts is 1. An improper fraction stays improper after simplifying, so 26/8 becomes 13/4, shown also as 3 1/4.
How to Use
- 01Enter the numerator.
- 02Enter the denominator.
- 03Read the fraction in lowest terms, the GCD, the mixed number and the decimal.
Formula Used
Lowest terms = (numerator ÷ GCD) / (denominator ÷ GCD)Practical Examples
Example 1: 18/24
GCD 6, so 3/4 = 0.75.
Example 2: 42/56
GCD 14, so 3/4 again.
Example 3: 26/8
GCD 2, so 13/4 = 3 1/4 = 3.25.
Important Tips
- Simplify two fractions before comparing them; they may be equal.
Common Mistakes to Avoid
- Stopping at a small common factor before reaching lowest terms.
- Dividing only the numerator or only the denominator.
Frequently Asked Questions
- How do I simplify a fraction?
- Divide the numerator and denominator by their greatest common divisor.
- What is 18/24 in lowest terms?
- 3/4.
- Does simplifying change the value?
- No, both equal 0.75.