Mixed Number Calculator

Add, subtract, multiply, and divide mixed numbers with step-by-step conversion between mixed numbers and improper fractions.

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First mixed number
Second mixed number

0

Result as mixed number

0/1

Improper fraction

0

Decimal value

Mixed number0
Improper fraction0/1
Decimal0

Also in Fractions

Fraction Arithmetic

Adding, subtracting, multiplying, and dividing mixed numbers

A mixed number calculator performs arithmetic on mixed numbers by converting them to improper fractions, carrying out the operation, and converting the result back to a simplified mixed number. It handles all four operations with step-by-step working.

What a mixed number is

A mixed number combines a whole number with a proper fraction, such as two and three-quarters. It is another way of writing an improper fraction and is often preferred in everyday contexts because the whole-number part is immediately visible.

Arithmetic with mixed numbers requires converting them to improper fractions first, since operations like multiplication and division do not work directly on the mixed form.

Converting mixed numbers to improper fractions

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. This gives an improper fraction that is equivalent to the mixed number and ready for arithmetic.

w n/d = (w × d + n) / d

Multiply the whole number w by the denominator d, add the numerator n, and place the total over d.

Frequently asked questions

Why convert to improper fractions before calculating?

Mixed numbers have two separate parts that do not combine neatly in multiplication or division. Converting to a single improper fraction allows standard fraction rules to apply cleanly.

Can the result be a negative mixed number?

Yes. If the result is negative and its absolute value is greater than one, it is expressed as a negative whole number with a positive fractional part, such as negative two and one-third.

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