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Starting in 1996,
Alexa Internet has been donating their crawl data to the Internet Archive. Flowing in every day, these data are added to the
Wayback Machine after an embargo period.
The Wayback Machine - https://web.archive.org/web/20180314105714/http://www.sosmath.com:80/algebra/fraction/frac5/frac5.html
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
If you would like to review more examples, click on Example.
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.
Answer
- Problem 2:
-
Rewrite as a compound number.
Answer
- Problem 3:
-
Add the following numbers and convert the answer to a simple fraction: .
Answer
- Problem 4:
-
Multiply the following numbers and convert the answer to a simple fraction: .
Answer
[Simple Fractions] [Complex Fractions]
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