Free mixed number calculator with step-by-step solutions. Add, subtract, multiply, and divide mixed numbers and fractions with visual results.
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Working with mixed numbers like 2½ or 3¾? Our mixed number calculator handles all arithmetic operations—addition, subtraction, multiplication, and division—with visual step-by-step solutions. Whether you're a student tackling math homework, a parent helping with fraction problems, a chef scaling recipes, or a carpenter working with fractional measurements, this calculator shows you exactly how to solve any mixed number problem with clear, LaTeX-rendered mathematical steps.
A mixed number combines a whole number with a proper fraction, like 3½ (three and one-half) or 2¾ (two and three-quarters). The whole number represents complete units, while the fraction represents the remaining part. Mixed numbers are commonly used in everyday measurements—cooking recipes (2½ cups of flour), construction (8⅝ inches), and time (1¾ hours). To perform arithmetic operations with mixed numbers, we typically convert them to improper fractions first, perform the calculation, then convert the result back to mixed form and simplify.
Conversion Formulas
Mixed to Improper: a b/c = (a × c + b) / c | Improper to Mixed: n/d = q r/d where n = q × d + rEvery calculation shows detailed steps with LaTeX-rendered mathematical notation—from converting to improper fractions, finding common denominators, performing the operation, to simplifying the final result.
Add, subtract, multiply, or divide any two mixed numbers in one comprehensive tool. No need to switch between different calculators.
Get your answer as a simplified mixed number, improper fraction, decimal, and percentage—all displayed simultaneously for maximum flexibility.
See fractions rendered beautifully with proper numerator/denominator stacking, making it easier to understand and verify your calculations.
Results are always reduced to lowest terms using GCD (Greatest Common Divisor), so you get the cleanest possible answer.
Full support for negative mixed numbers with proper sign handling throughout all calculations.
Load common textbook problems instantly to learn the process, check your work, or practice similar problems.
Completely free to use with unlimited calculations. No account required, no ads blocking your work.
Check your fraction homework, learn the step-by-step process for solving mixed number problems, and prepare for math tests with clear explanations of each calculation step.
Double or halve recipes that use fractional measurements. Calculate what 1½ cups times 3 equals, or divide 2¾ cups of flour between 4 batches.
Add and subtract measurements in inches and fractions when cutting lumber, calculating total lengths, or figuring out material needs. What's 8⅝ inches minus 3⅜ inches?
Calculate fabric lengths, seam allowances, and pattern adjustments using fractional yard and inch measurements common in sewing projects.
Work with fractional interest rates, stock prices, and financial ratios that are often expressed as mixed numbers or fractions.
Demonstrate mixed number operations to students with clear visual steps. Perfect for teachers, tutors, and parents explaining fraction arithmetic.
To add mixed numbers: (1) Convert each mixed number to an improper fraction by multiplying the whole number by the denominator and adding the numerator, (2) Find a common denominator (LCD) for both fractions, (3) Convert both fractions to have this common denominator, (4) Add the numerators while keeping the denominator the same, (5) Simplify by finding the GCD and dividing, (6) Convert back to a mixed number if the result is an improper fraction.