Mixed Number Calculator

How to Use Mixed Number Calculator

The Mixed Number Calculator lets you perform arithmetic on mixed numbers, fractions, and whole numbers with a single interface. Enter the two values, select the operation, and the Mixed Number Calculator instantly returns the simplified result as a mixed number, improper fraction, and decimal.

1. Enter the first number — Type a value such as 2 1/3, 5/4, 3, or -1 2/5.
2. Choose the operation — Select addition (+), subtraction (−), multiplication (×), or division (÷) from the operator buttons.
3. Enter the second number — Type the second value in the same flexible format.
4. Read the result — The Mixed Number Calculator shows the mixed number form prominently, with the equivalent fraction and decimal below.

Accepted input formats are printed at the bottom of the input panel as a quick reference, so you never have to guess how to type a value.

Formula & Theory - Mixed Number Calculator

The Mixed Number Calculator converts all inputs to improper fractions before performing arithmetic, then simplifies the result:

Mixed number to improper fraction:
  a b/c  →  (a × c + b) / c

Fraction arithmetic:
  a/b + c/d = (a×d + c×b) / (b×d)
  a/b - c/d = (a×d - c×b) / (b×d)
  a/b × c/d = (a×c) / (b×d)
  a/b ÷ c/d = (a×d) / (b×c)

Simplify by GCD:
  (a/b) simplified = (a ÷ gcd(a,b)) / (b ÷ gcd(a,b))

Improper fraction to mixed number:
  num/den  →  floor(|num|/den) remainder (|num| mod den) / den

Assumptions and Limits

• The denominator can never be zero; the Mixed Number Calculator shows an error if the second operand is zero in a division.
• Results are always reduced to lowest terms with a positive denominator.
• The Mixed Number Calculator handles negative inputs and produces negative mixed numbers correctly.

Use Cases for Mixed Number Calculator

The Mixed Number Calculator is useful in many everyday and academic situations:

• Cooking and baking — Add 1 1/2 cups of flour and 3/4 cup of oats to find the total quickly.
• Carpentry and construction — Subtract 2 3/8 inches from 5 1/4 inches when cutting materials.
• School assignments — Check fraction and mixed number homework answers in seconds.
• Converting between forms — Instantly see whether 7/4 equals 1 3/4 and 1.75 at the same time.