Mixed Number Calculator

Convert between mixed numbers and improper fractions instantly. Enter a mixed number or improper fraction and see the conversion with step-by-step explanation and visual diagram.

📐 Mixed Number Calculator
Result
Visual Diagram
Definition

What is Mixed Number Calculator?

A Mixed Number Calculator converts between mixed numbers and improper fractions, and performs arithmetic operations on mixed numbers. A mixed number consists of a whole number and a proper fraction combined, such as 2 3/4.

Mixed numbers are commonly used in everyday measurements — recipes (1 1/2 cups), construction (3 3/8 inches), and time (2 1/4 hours). Converting between mixed and improper forms is essential for performing fraction arithmetic.

An improper fraction has a numerator greater than or equal to the denominator (like 11/4), while a mixed number separates the whole and fractional parts (2 3/4).

Interactive Visualization
Formula

Mixed Number Calculator Formula

Mixed Number → Improper Fraction:

Numerator = (Whole × Denominator) + Numerator

Example: 3 2/5 → (3 × 5) + 2 = 17/5

Improper Fraction → Mixed Number:

Divide numerator by denominator. The quotient is the whole number, the remainder is the new numerator.

Example: 17/5 → 17 ÷ 5 = 3 remainder 2 → 3 2/5

Examples

Worked Examples

Convert 2 3/4 to improper

(2 × 4) + 3 = 11. Result: 11/4.

Convert 23/6 to mixed

23 ÷ 6 = 3 remainder 5. Result: 3 5/6.

Convert 1 7/8 to improper

(1 × 8) + 7 = 15. Result: 15/8.

Convert 100/7 to mixed

100 ÷ 7 = 14 remainder 2. Result: 14 2/7.

Related Tools

Related Fraction Calculators

Improper Fraction Calculator Fraction Simplifier Calculator Fraction Addition Calculator Fraction Subtraction Calculator
FAQ

Frequently Asked Questions

Common questions about the mixed number calculator.

A mixed number combines a whole number and a proper fraction, such as 3 1/2. The whole part represents complete units, and the fraction represents the remaining partial unit.

Multiply the whole number by the denominator, add the numerator, and keep the same denominator. Example: 4 2/3 → (4×3)+2 = 14 → 14/3.

Divide the numerator by the denominator. The quotient is the whole number, and the remainder becomes the new numerator over the same denominator. Example: 22/5 → 22÷5 = 4 remainder 2 → 4 2/5.

Mixed numbers are better for everyday communication (recipes, measurements). Improper fractions are easier for arithmetic calculations (adding, multiplying fractions).

Yes. A negative mixed number like -2 1/3 means -(2 + 1/3) = -7/3 as an improper fraction. The negative sign applies to the entire number.