Mixed Number Calculator with Steps

This page is built for learning, not only for getting an answer. Each step matches a classroom skill: converting mixed numbers, finding the LCD, renaming fractions, operating on numerators, simplifying, or converting back. For example, 2 1/2 + 1 3/4 is not shown as one jump to 4 1/4. It is shown as 5/2 + 7/4, then 10/4 + 7/4, then 17/4, then 4 1/4. That makes it easier to compare your homework work line by line.

The improper fraction method converts each mixed number into one fraction before calculating. It works for addition, subtraction, multiplication, and division, so it is the most universal method. The borrowing method keeps the whole number and fraction parts visible, which often feels closer to classroom subtraction. For example, 3 1/3 - 1 3/4 can be solved as 10/3 - 7/4, or by renaming 3 4/12 as 2 16/12 before subtracting 1 9/12. Both methods give 1 7/12.

A clear test format has four lines. First, convert both mixed numbers to improper fractions. Second, find the LCD if the denominators are different. Third, rename the fractions and add the numerators. Fourth, simplify and convert back if the result is improper. For 2 1/2 + 1 3/4, write 2 1/2 = 5/2 and 1 3/4 = 7/4. Then 5/2 = 10/4, so 10/4 + 7/4 = 17/4 = 4 1/4.

Addition and subtraction combine pieces, so the pieces must be the same size. That is why 1/2 + 1/3 needs an LCD: halves and thirds are different units. Rename them as sixths, then add 3/6 + 2/6 = 5/6. Multiplication is different. It is scaling one amount by another, so you multiply numerators and denominators directly. For example, 1/2 x 1/3 = 1/6 without finding a common denominator.

Simplify means reduce a fraction to lowest terms by dividing the numerator and denominator by their greatest common factor. For example, 18/12 has GCF 6, so 18/12 becomes 3/2. A fraction is fully simplified when the GCF is 1. For 19/12, the factors of 19 are 1 and 19, and 19 does not divide 12, so GCF(19, 12) = 1. That fraction is already in simplest form.

Yes. The best workflow is to solve the problem on paper first, then enter the same mixed numbers here and compare each step. If your answer is different, look for the first line where your work and the calculator's work diverge. For example, if your final answer for 2 1/4 divided by 1 1/2 is not 1 1/2, check whether you flipped only the second fraction in the KCF step. The calculator is meant for checking and understanding, not replacing your work.