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{3}{4}.

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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 the first step in subtracting mixed numbers with unlike denominators?

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Convert the mixed numbers to improper fractions.

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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, allowing them to be added or subtracted.

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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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How do you find the total when adding fractions?

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Ensure the fractions have a common denominator, then add the numerators and keep the common denominator.