# Rule 27: Compound Fractions A compound fraction is sometimes called a mixed number. Recall that , , and are examples of compound fractions. • To manipulate compound fractions, just convert them to simple fractions and follow rules 1 through 23 for simple fractions.

Example 1: Convert to a simple fraction.
Answer. can be written . Write 3 as the fraction . Now can be written and • To convert a simple fraction to a compound fraction, the numerator must be larger than the denominator. Separate the whole number first.

Example 2: Convert to a compound fraction.

Answer. Rewrite as . We have • To add or subtract two compound fractions, convert the fractions to simple fractions and follow the steps you use to add or subtract two simple fractions.

Example 3: Calculate .

Solution We have • To multiply or divide two compound fractions, convert the fractions to simple fractions and follow the steps you use to multiply or divide two simple fractions.

Example 4: Calculate .

Solution. We have ### Work the following problems and click on Answer if you would like to check your answer and/or review the solution.

Problem 1:
Convert to a simple fraction.

Problem 2:
Rewrite as a compound number.

Problem 3:
Add the following numbers and convert the answer to a simple fraction: .

Problem 4:
Multiply the following numbers and convert the answer to a simple fraction: . [Simple Fractions] [Complex Fractions] [Compound Fractions]
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