Fraction Calculator

Add, subtract, multiply, divide, and simplify fractions including mixed numbers.


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How to use

  • Mixed Numbers
    Enter the whole number in the top field. For example, 2½ — enter 2 in whole, 1 in numerator, 2 in denominator.
  • Add / Subtract
    Finds a common denominator and returns the result in simplest form.
  • Multiply
    Multiplies numerators and denominators. Example: 1/2 × 2/3 = 1/3.
  • Divide
    Flips the second fraction and multiplies. Example: 1/2 ÷ 1/4 = 2.
  • Simplify
    Reduces a fraction to its simplest form. Example: 4/8 = 1/2.

What is a Fraction?

A fraction represents a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). For example, in the fraction 3/4, the numerator is 3 and the denominator is 4, meaning 3 parts out of 4 equal parts.

What is a Mixed Number?

A mixed number combines a whole number and a fraction, like 2½. To work with mixed numbers in calculations, they are first converted to improper fractions. For example, 2½ becomes 5/2 — calculated as (2 × 2) + 1 = 5 over 2.

How to Add Fractions

To add fractions, find the least common denominator (LCD), convert each fraction, then add the numerators. For example: 1/3 + 1/4 — the LCD is 12, so it becomes 4/12 + 3/12 = 7/12.

Frequently Asked Questions

How do I simplify a fraction?

Divide both the numerator and denominator by their greatest common divisor (GCD). For example, 8/12 — the GCD is 4, so 8/12 = 2/3.

What is an improper fraction?

An improper fraction is one where the numerator is greater than or equal to the denominator, like 7/4. It can be converted to a mixed number: 7/4 = 1¾.

Can I use negative fractions?

Yes — enter a negative whole number or a negative numerator to work with negative fractions.

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