Ch. R - Review of Basic Concepts

Lial13th EditionCollege AlgebraISBN: 9780136881063Not the one you use?Change textbook

Lial 13th Edition

Ch. R - Review of Basic Concepts

Problem 18

Chapter 1, Problem 18

Write each improper fraction as a mixed number. 16/9

Verified step by step guidance

Identify the improper fraction given: \(\frac{16}{9}\). 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: divide 16 by 9.

Determine the quotient (whole number) and the remainder from the division. The quotient will be the whole number part of the mixed number.

Write the remainder over the original denominator to form the fractional part of the mixed number.

Combine the whole number and the fractional part to express the improper fraction as a mixed number: \(\text{whole number} \ \frac{\text{remainder}}{9}\).

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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, 16/9 is improper because 16 is greater than 9.

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 7/9, which means one whole and seven ninths.

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 16/9, dividing 16 by 9 gives 1 with a remainder of 7, so the mixed number is 1 7/9.

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