Adding and Subtracting Mixed Numbers with Unlike Denominators

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What is a mixed number?

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A mixed number is a whole number combined with a proper fraction, such as 2 \frac{1}{3}.

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How do you add mixed numbers with unlike denominators?

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1. Convert mixed numbers to improper fractions. 2. Find a common denominator. 3. Add the fractions. 4. Convert back to a mixed number if necessary.

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What is an improper fraction?

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An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as \frac{9}{4}.

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How do you subtract mixed numbers with unlike denominators?

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1. Convert mixed numbers to improper fractions. 2. Find a common denominator. 3. Subtract the fractions. 4. Convert back to a mixed number if necessary.

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What is a common denominator?

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A common denominator is a shared multiple of the denominators of two or more fractions, allowing for addition or subtraction.

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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.

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What is the first step in adding or subtracting mixed numbers?

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Convert the mixed numbers to improper fractions.

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