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Mixed Number Calculator

Add, subtract, multiply, or divide two mixed numbers and show simplified mixed-number, improper-fraction, and decimal results.

Whole-number part of the first mixed number.

Fraction numerator for the first mixed number.

Fraction denominator for the first mixed number.

Choose the arithmetic operation.

Whole-number part of the second mixed number.

Fraction numerator for the second mixed number.

Fraction denominator for the second mixed number.

Status: initial

Results

Awaiting calculation

Fraction arithmetic

Introduction

The Mixed Number Calculator adds, subtracts, multiplies, or divides two mixed numbers and shows the result as a mixed number, improper fraction, and decimal.

The calculator converts each mixed number to an improper fraction, applies the selected operation, simplifies the answer, and converts the result back to mixed-number form.

Formula and method guide

Convert to improper fraction

Improper numerator = whole x denominator + numerator

This prepares mixed numbers for fraction arithmetic.

Add or subtract

a/b ± c/d = (ad ± bc) / bd

This combines fractions with different denominators.

Multiply or divide

a/b x c/d = ac/bd; a/b ÷ c/d = ad/bc

Simplify the final fraction after the operation.

Variables

Whole number

The whole-number part of a mixed number.

Numerator

The top part of the fractional part.

Denominator

The bottom part of the fractional part.

Improper fraction

A fraction where the numerator can be larger than the denominator.

Mixed result

The simplified result written as a whole number plus fraction.

FAQs

What does this Mixed Number Calculator do?
It adds, subtracts, multiplies, or divides two mixed numbers.
What is a mixed number?
A mixed number has a whole-number part and a fractional part, such as 2 1/4.
How do you convert a mixed number to an improper fraction?
Multiply the whole number by the denominator, add the numerator, and keep the same denominator.
Can this calculator simplify fractions?
Yes. Results are simplified automatically.
Can it show an improper fraction?
Yes. It shows both mixed-number and improper-fraction forms.
Can it show decimals?
Yes. It includes a decimal result.
Can I subtract mixed numbers?
Yes. Choose subtract as the operation.
Can I multiply mixed numbers?
Yes. The calculator converts both values to improper fractions first.
Can I divide mixed numbers?
Yes. It multiplies by the reciprocal of the second improper fraction.
Can the result be negative?
Yes. Subtraction can produce negative mixed-number results.
Can the numerator be larger than the denominator?
For input mixed numbers, enter a numerator smaller than the denominator. The result can be shown as an improper fraction.
Can I enter a whole number only?
Yes. Use numerator 0 and any positive denominator.
Why convert to improper fractions first?
Improper fractions make addition, subtraction, multiplication, and division more consistent.
Does this use lowest terms?
Yes. The final fraction is reduced to lowest terms.
Is this only for positive numbers?
No. Whole-number parts may be negative, but denominators must be positive.

References

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