Adding and Subtracting Mixed Numbers

Front

What is a mixed number?

Back

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?

Back

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, 2 \frac{3}{4} = \frac{(2 \times 4) + 3}{4} = \frac{11}{4}.

Front

What is the first step in adding mixed numbers?

Back

Convert each mixed number to an improper fraction.

Front

How do you find a common denominator?

Back

Identify the least common multiple (LCM) of the denominators.

Front

What is the process for adding fractions with like denominators?

Back

Add the numerators and keep the denominator the same. For example, \frac{1}{4} + \frac{2}{4} = \frac{3}{4}.

Front

What is the process for subtracting fractions with like denominators?

Back

Subtract the numerators and keep the denominator the same. For example, \frac{5}{8} - \frac{3}{8} = \frac{2}{8} = \frac{1}{4}.

Front

What do you do after adding or subtracting improper fractions?

Back

Convert the result back to a mixed number if necessary.

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Front

What is a common denominator?

Back

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