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Mixed Fraction Calculator

Add, subtract, multiply, or divide two mixed numbers (whole + proper fraction). The tool walks through LCD, equivalent fractions, the arithmetic on numerators, and GCD simplification—then shows a simplified ratio, a mixed answer where it helps, and a decimal to two places. Works in exact rationals end to end; use Share Calculation to save the scenario in the URL.

Calculate

First mixed number

Leave blank for 0.

Second mixed number

Leave blank for 0.

Step-by-step

How to enter mixed numbers

Type the whole part (or leave it blank for zero), then a proper fraction: numerator smaller than denominator when the numerator is not zero. Put negatives on the whole only; keep numerators zero or positive. Denominators must be non-zero integers.

How the steps are built

Addition and subtraction use a shared least common denominator (same as the least common multiple of the denominators). Multiplication multiplies tops and bottoms. Division rewrites the problem with a reciprocal, then uses the multiplication path. Every path ends by dividing top and bottom by their GCD so the displayed ratio is lowest terms.

FAQ

What operations does this Mixed Fraction Calculator support?

You can add, subtract, multiply, or divide two mixed numbers by entering a whole part plus a proper fraction (numerator smaller than denominator) for each. The tool converts each value to an improper fraction, shows LCD and equivalents for addition and subtraction, reciprocal plus multiplication for division, then simplifies using GCD.

Why must the fraction part be proper?

Each mixed number uses a whole part plus a proper fractional part so the layout matches common textbook notation. If the top is larger than the bottom, move one or more wholes into the whole box first, then enter the remaining proper piece.

Can I share a specific problem with a classmate?

Yes. After you enter values and press Calculate, use Share Calculation to copy the URL. Opening that link restores the same operands, operation, and outputs.

Disclaimer. RapidRatio is informational only. It is not academic accreditation, curriculum, or professional advice. Verify steps and results with your instructor when preparation counts.