Mixed Number Calculator

Written by:
PK

Below is a mixed number calculator that converts between mixed numbers and improper fractions. Enter either form and get the other, with the fraction simplified to lowest terms.

Mixed Number Calculator

Using the mixed number calculator

Choose your conversion direction using Mixed → Improper or Improper → Mixed. Enter the whole number, numerator, and denominator in the appropriate fields, and the calculator converts in real-time. Results show:

  • The converted fraction or mixed number
  • Decimal and percentage equivalents
  • Simplified form (lowest terms)

What is a mixed number?

A mixed number combines a whole number and a proper fraction, like 3½ or 2¾. An improper fraction has a numerator larger than (or equal to) its denominator, like 7/2 or 11/4.

Converting between forms

Mixed to improper: Multiply the whole number by the denominator, add the numerator, and keep the same denominator.

3\frac{1}{2} = \frac{3 \times 2 + 1}{2} = \frac{7}{2}

Improper to mixed: Divide the numerator by the denominator. The quotient is the whole number, the remainder is the new numerator.

\frac{11}{4} = 11 \div 4 = 2 \text{ R } 3 = 2\frac{3}{4}

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PK

PK started DQYDJ in 2009 to research and discuss finance and investing and help answer financial questions. He's expanded DQYDJ to build visualizations, calculators, and interactive tools.

PK lives in New Hampshire with his wife, kids, and dog.

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