Monday, January 21, 2013

Adding and Subtracting Mixed Numbers

In my opinion the easiest way to add and subtract mixed numbers is to change them into improper fractions. This will put an end to having to regroup (or borrow from the whole number). Here are the steps laid out in an easy to understand way:

Step 1: Change both Mixed Numbers into Improper Fractions

            How?: Multiply the Whole number by the Denominator (the bottom number of the fraction) and
                       add the fraction's numerator (the top number in the fraction).

Step 2: Find the Least Common Denominator

           How?: Find the Lowest Common Multiple between the denominators. The Lowest Common
                      Multiple can be found several ways: List all of the multiples until you get to the first number
                      that they both go into; Use Prime Factorization; etc.

Step 3: Solve by Adding or Subtracting the Numerators
            (Write your answer over the Least Common Denominator)

Step 4: Change your Improper Fraction back into a Mixed Number

           How?: Divide the Numerator by the Denominator. The quotient (the answer) will be the new whole
                      number. The remainder (what's left over) will be the new numerator (the top number). Write
                      the remainder over the denominator.



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