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Fractions & Decimals

Fractions & Decimals

Adding & Subtracting Mixed Numbers

Here we will go over two different methods to add or subtract mixed numbers. Find the way that is most natural for you – both will lead you to the right answer.

Method #1: Change mixed numbers into improper fractions

1. Change all mixed numbers to improper fractions.
2. Express fractions using a common denominator.
3. Add or subtract the fractions.
4. Simplify your answer. Express as a mixed number if necessary.

Method #2: Keep numbers as mixed numbers

Addition

1. Convert the fractional part of each number to a common denominator.
2. Add the whole numbers together.
3. Add the fractions.
4. If the resulting fraction is improper, change it into a mixed number and add that to the whole number.

Subtraction

1. Convert the fractional part of each number to a common denominator.
2. If the second fraction is larger than the first, borrow from the whole number in order to be able to subtract.
3. Subtract the whole numbers.
4. Subtract the fractions.

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