What is simplifying fractions?
Simplifying a fraction means rewriting it with the smallest possible positive denominator and a matching numerator while keeping the same value. You do that by dividing both the top and bottom by their greatest common divisor (GCD). For example, 8/12 has the same value as 2/3 because both numerator and denominator share a factor of 4. This simplify fractions calculator automates that process so you get a clean answer for homework, teaching, or quick checks.
Examples
- 8 / 12 -> GCD(8, 12) = 4 -> 2 / 3
- 15 / 20 -> GCD(15, 20) = 5 -> 3 / 4
- 24 / 36 -> GCD(24, 36) = 12 -> 2 / 3
- 7 / 9 -> GCD is 1 -> already in lowest terms
FAQs
- Why do teachers ask for lowest terms?
- Standard form makes it easy to compare fractions and spot equivalent values. A single simplified form avoids endless equivalent answers like 4/6 and 2/3.
- Is this the same as "reducing" a fraction?
- Yes. Simplifying, reducing, and writing in lowest terms all mean the same idea: divide out the GCD.
- How do you find the GCD?
- This tool uses the Euclidean algorithm, which repeatedly replaces the larger number by its remainder when divided by the smaller until one number hits zero; the other is then the GCD.
How to use this calculator
Type the numerator and denominator in the stacked boxes, then press Simplify Fraction. You will see the reduced fraction, a decimal approximation when it is not a whole number, and a short explanation of the GCD step. The layout works on phones and desktops: the form and instructions stack on small screens so nothing feels cramped.