Fraction Calculator

Perform operations on fractions with ease. Calculate basic fractions, mixed numbers, simplify fractions, and convert between fractions and decimals. Supports very large numbers with the big number calculator.

Basic Fraction Calculator

=
?

Mixed Numbers Calculator

Enter mixed numbers like: -1 3/4 or 2 5/7

=
?

Simplify Fractions Calculator

=
?

Decimal to Fraction Calculator

=
?

Fraction to Decimal Calculator

=
?

Big Number Fraction Calculator

Use this calculator if the numerators or denominators are very big integers.

=
?

Fraction Quick Tips

  • โ€ขFractions represent parts of a whole - the numerator is the part you have, the denominator is the total parts
  • โ€ขAlways simplify fractions to their lowest terms by dividing both numerator and denominator by their GCD
  • โ€ขTo add or subtract fractions, find a common denominator first
  • โ€ขTo multiply fractions, multiply numerators together and denominators together
  • โ€ขTo divide fractions, multiply by the reciprocal (flip the second fraction)
  • โ€ขMixed numbers should be converted to improper fractions before performing calculations

Understanding Fractions

What is a Fraction?

In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole. For example, in the fraction 3/8, the numerator is 3, and the denominator is 8.

Addition and Subtraction

Unlike adding and subtracting integers, fractions require a common denominator. One method involves multiplying the numerators and denominators by the product of the other fraction's denominator.

Example: 3/4 + 1/6 = (3ร—6 + 1ร—4)/(4ร—6) = 22/24 = 11/12

Multiplication

Multiplying fractions is straightforward - simply multiply the numerators together and the denominators together, then simplify the result.

Example: 3/4 ร— 1/6 = 3/24 = 1/8

Division

To divide fractions, multiply by the reciprocal of the second fraction (flip the numerator and denominator).

Example: 3/4 รท 1/6 = 3/4 ร— 6/1 = 18/4 = 9/2 = 4 1/2

Converting Decimals to Fractions

Each decimal place represents a power of 10. Count the decimal places, use that power of 10 as the denominator, and the digits as the numerator. For example: 0.25 = 25/100 = 1/4

Practical Applications

Cooking & Recipes

Essential for scaling recipes and measuring ingredients accurately

Construction

Critical for precise measurements in building and engineering

Finance

Used in calculating interest rates and investment returns

Science & Medicine

Essential for dosage calculations and measurements