Adding and Subtracting Mixed Numbers

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What is a mixed number?

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A mixed number is a whole number combined with a fraction, such as 2 \frac{1}{2}.

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How do you convert a mixed number to an improper fraction?

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Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. For example, for 2 \frac{1}{3}, it becomes \frac{2 \times 3 + 1}{3} = \frac{7}{3}.

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What is the first step in adding mixed numbers?

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Convert both mixed numbers to improper fractions.

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What is the first step in subtracting mixed numbers?

Back

Convert both mixed numbers to improper fractions.

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How do you add fractions with different denominators?

Back

Find a common denominator, convert the fractions, and then add the numerators.

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What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions.

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What do you do after adding or subtracting improper fractions?

Back

If the result is an improper fraction, convert it back to a mixed number.

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