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It depends what type, such as multiplication, division, subtraction, or addition. Be more descriptive!
those two operations are addition and subtraction.
Subtraction is the opposite operation to addition, so can be used to check an addition by subtracting one of the addends (numbers being added together) from the total obtained to see if the other addend results. This can be used with any two addends including mixed numbers. Working with mixed numbers is often much easier (especially for multiplication and division) by converting them first to improper fractions, doing the operations and converting any resultant improper fraction back to a mixed number.
The easiest is to convert both mixed form numbers to improper fractions, do the subtraction (as normal1) and if the result is an improper fraction convert it to mixed form. 1 by converting the improper fractions to equivalent [improper] fractions with a common denominator and subtracting the resultant numerators.
To add or subtract mixed numbers, first convert them to improper fractions. Then, perform the addition or subtraction operation on the numerators while keeping the denominators the same. Next, simplify the resulting fraction if possible by reducing it to lowest terms. Finally, if needed, convert the improper fraction back to a mixed number for the final answer.