Fraction Calculator

Frequently Asked Questions

How do you add two fractions with different denominators?

To add fractions with unlike denominators, find the least common denominator (LCD), convert each fraction to that denominator, then add the numerators. For example: 1/3 + 1/4 → LCD is 12 → 4/12 + 3/12 = 7/12. The calculator handles this automatically.

How do you multiply fractions?

To multiply fractions, multiply the numerators together and the denominators together: (a/b) × (c/d) = (a×c)/(b×d). Then simplify by dividing by the GCD. For example: 2/3 × 3/4 = 6/12 = 1/2.

How do you divide fractions?

To divide fractions, multiply the first fraction by the reciprocal of the second: (a/b) ÷ (c/d) = (a/b) × (d/c) = (a×d)/(b×c). For example: 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6.

What does "simplify to lowest terms" mean?

A fraction is in lowest terms (or simplest form) when the numerator and denominator share no common factors other than 1. To simplify, divide both by their Greatest Common Divisor (GCD). For example: 6/8 → GCD(6,8) = 2 → 3/4.

How do I enter a mixed number?

Convert the mixed number to an improper fraction first. For 2 and 1/3: multiply the whole number by the denominator and add the numerator: (2×3)+1 = 7. Enter 7 as the numerator and 3 as the denominator. The result is also shown as a decimal.

What is the GCD and how is it used to simplify?

The Greatest Common Divisor (GCD) is the largest number that divides evenly into both the numerator and denominator. Dividing both by their GCD gives the fraction in simplest form. For 18/24: GCD(18,24) = 6 → 18÷6=3, 24÷6=4 → 3/4.

Can I calculate with negative fractions?

Yes. Enter a negative numerator (e.g. −3 as the numerator and 4 as the denominator) to represent −3/4. The calculator correctly handles signed arithmetic for all four operations and simplifies the result with proper sign handling.