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Ch. R - Review of Basic Concepts
Lial - College Algebra 13th Edition
Lial13th EditionCollege AlgebraISBN: 9780136881063Not the one you use?Change textbook
All textbooksLial 13th EditionCh. R - Review of Basic ConceptsProblem 17
Chapter 1, Problem 17

Write each improper fraction as a mixed number. 17/12

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Identify the improper fraction given: \(\frac{17}{12}\). An improper fraction has a numerator larger than the denominator.
Divide the numerator by the denominator to find the whole number part of the mixed number. Perform the division \(17 \div 12\).
Determine the quotient (whole number) and the remainder from the division. The quotient will be the whole number part, and the remainder will be the numerator of the fractional part.
Write the mixed number as the quotient plus the remainder over the original denominator: \(\text{quotient} \ \frac{\text{remainder}}{12}\).
Simplify the fractional part if possible by reducing the fraction to its lowest terms.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Improper Fractions

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, indicating a value equal to or greater than one. For example, 17/12 is improper because 17 is greater than 12.
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Mixed Numbers

A mixed number combines a whole number and a proper fraction. It represents values greater than one by separating the whole part from the fractional part, such as 1 5/12, which means one whole and five twelfths.
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Converting Improper Fractions to Mixed Numbers

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder over the original denominator forms the fractional part. For 17/12, dividing 17 by 12 gives 1 with a remainder of 5, so the mixed number is 1 5/12.
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