# Adding Subtracting Mixed NumbersCalculator That Shows Its Work

This free online calculator will add one mixed number to another, or subtract one mixed number from another -- regardless if the two mixed numbers have the same or different denominators -- and give the resulting fraction in simplest form.

Plus, unlike some other online mixed number calculators, this calculator will show its work and give a detailed step-by-step explanation as to how it arrived at the result.

### How Do You Add and Subtract Mixed Numbers?

The only difference between adding or subtracting mixed numbers and adding or subtraction fractions, is that before you begin to add or subtract you must first convert the mixed numbers to improper fractions.

To convert a mixed number to an improper fraction, you first multiply the denominator of the fractional portion by the whole number and then add that product to the numerator. That result then becomes the numerator (top) of the improper fraction, while the denominator (bottom) remains unchanged.

Converting a Mixed Number to an Improper Fraction

 2 1 = 3 x 2 + 1 = 7 3 3 3

Once you have converted the mixed numbers to improper fractions, you simply add or subtract the fractions as usual (the calculator will show its work in case you're not sure of the steps involved).

With that, let's use the Adding Subtracting Mixed Numbers Calculator to add one mixed number to another, or to subtract one from the other.

Instructions: Enter the whole number, the numerator (top), and the denominator (bottom) of the first number in the equation.

Next, select + (plus) or - (minus) from the add subtract mixed numbers drop down menu.

Finally, enter the whole number, numerator, and denominator of the second mixed number, and then click the "Add Subtract Mixed Numbers" button.

Note that if you need to add or subtract more than two mixed numbers (1-2/3 plus 3-1/2 minus 2-1/5, etc), working from left to right, simply perform the operation on the first two, write down the result (or enter it before resetting the calculator), and then perform the second operation on the third mixed number in the equation. Repeat until all mixed numbers in the equation have been added and subtracted.

Mouse over the blue question marks for a further explanation of each entry field. More in-depth explanations can be found in the glossary of terms located beneath the Adding Subtracting Mixed Numbers Calculator.

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Whole # Fraction   Whole # Fraction
Numerators (#):
Denominators (#):
Sum or Difference:
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### Adding Subtracting Mixed Numbers Calculator Glossary of Terms

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Mixed number: A number that consist of a whole number and a fraction. Examples of mixed numbers would include 11/2, 33/5, 51/6, etc.

Whole number: The number located to the left of fractional portion of a mixed number. In the mixed number 24/5, the number 2 would be the whole number.

Numerator: The top number of the fractional portion of a mixed number. In the mixed number 24/5, the number 4 would be the numerator.

Denominator: The bottom number of the fractional portion of a mixed number. In the mixed number 24/5, the number 5 would be the denominator.

Answer: This is the result of addition or subtraction of the two mixed numbers. After performing the operation, the calculator will show its work and give a detailed explanation of each step it took to arrive at the answer.

Improper fraction: A fraction containing a numerator (top) that is larger than the denominator (bottom). Examples of improper fractions would include 9/5, 17/4, 39/38, etc.

Augend: Usually the first number of an addition problem.

Addend: Usually the second (or other) numbers to be added to the first number.

Minuend: Usually the first number listed in a subtraction problem.

Subtrahend: Usually the second number listed in a subtraction problem.

Sum: The result after performing addition.

Difference: The result after performing subtraction.

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