Simplify fractions to lowest terms and perform fraction arithmetic — with step-by-step explanations.
Simplified:
—
—
—
Steps
—
—
—
—
—
—
How to simplify fractions
To simplify a fraction, find the Greatest Common Divisor (GCD) of the numerator and denominator, then divide both by it. For example, 12/18: GCD is 6, so 12÷6 = 2 and 18÷6 = 3, giving the simplified fraction 2/3.
A fraction is in its simplest (lowest) form when the numerator and denominator share no common factors other than 1.
Frequently asked questions
What is the GCD method?
The Greatest Common Divisor (GCD) is the largest number that divides evenly into both the numerator and denominator. Dividing both by the GCD reduces the fraction to its simplest form. The GCD of 24 and 36 is 12, so 24/36 simplifies to 2/3.
How do I add fractions with different denominators?
Find the Least Common Denominator (LCD) of both fractions, convert each fraction to that denominator, then add the numerators. For example: 1/2 + 1/3 — the LCD is 6, so it becomes 3/6 + 2/6 = 5/6.
How do I convert a fraction to a decimal?
Simply divide the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. This calculator shows the decimal equivalent alongside every result.