How to Simplify Fractions
Simplifying a fraction (also called reducing a fraction) means expressing it in its lowest terms, where the numerator and denominator share no common factors other than 1. Simplified fractions are easier to compare, add, and work with. The process uses the Greatest Common Divisor (GCD) of the numerator and denominator.
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Formula
Fraction Simplifier
Simplify any fraction to its lowest terms.
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Worked Example
Given:
Related Calculators
FAQs
How do I add fractions with different denominators?
Find the LCM of the denominators (the lowest common denominator). Convert each fraction to an equivalent fraction with the LCD as denominator. Then add the numerators. For example, 1/4 + 1/6: LCD = 12, so 3/12 + 2/12 = 5/12.
What is an improper fraction?
An improper fraction has a numerator larger than the denominator (e.g. 7/4). It represents a value greater than 1 and can be converted to a mixed number: 7/4 = 1¾. Both forms are valid — improper fractions are often easier to multiply and divide.
When is a fraction in its simplest form?
A fraction is in simplest form (lowest terms) when the GCD of the numerator and denominator is 1 — they share no common factors. For example, 3/4 is in simplest form because GCD(3,4) = 1. But 6/8 is not — GCD(6,8) = 2, so it simplifies to 3/4.